{"assistant":{"explanations":[{"calculationRefs":["calc-1"],"text":"Юлианские постоянные встроены в правила, вековых поправок не требуется."},{"calculationRefs":["calc-2"],"text":"Вековые постоянные 24 и 5 для XXI века поданы фактами дела, как того требует таблица Гаусса."},{"calculationRefs":["calc-3"],"text":"Исключение Гаусса переносит дату на неделю раньше: правило исключения строгое."},{"calculationRefs":["calc-4"],"text":"Базовый день 57 не установлен: опровержимое правило основной формы побеждено дефитером исключения."}],"origin":"assistant","summary":"Пасхалия считается формой Гаусса на точных остатках: золотое число, високосный и недельный циклы, лунная и недельная поправки. Юлианский счёт с постоянными 15 и 6 даёт на 2025 год 7 апреля по юлианскому календарю. Григорианский счёт с вековыми постоянными 24 и 5 даёт 20 апреля. 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9)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#JulianPaschalionApplicable","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Юлианская пасхалия применяется ко всякому году: она старше буллы и не отменена (ст. 2, 9)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#JulianWeekdayShift","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"вековая воскресная постоянная юлианской пасхалии — шесть на всей оси (ст. 9)"}],"name":"JulianWeekdayShift","package":"urn:vat:clir:computus","parameters":[],"symbolKind":"constant","value":{"kind":"value","type":{"name":"urn:law:std#Integer"},"value":6}},{"id":"urn:vat:clir:computus#JulianWeekdayShiftIsSix","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Воскресная постоянная юлианского счёта равна шести для всякого года (ст. 9)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#LastMarchDay","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"последний день марта в счёте дней марта — 31 (ст. 13)"}],"name":"LastMarchDay","package":"urn:vat:clir:computus","parameters":[],"symbolKind":"constant","value":{"kind":"value","type":{"name":"urn:law:std#Integer"},"value":31}},{"id":"urn:vat:clir:computus#LeapCycleResidue","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Второй остаток есть остаток от деления года на четыре (ст. 4)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#LunarCorrection","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Лунная поправка есть остаток от деления на тридцать суммы первого остатка, умноженного на девятнадцать, и вековой лунной постоянной (ст. 5)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#Month","kind":"type_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"месяц дня Пасхи: март, апрель либо май (ст. 13)"}],"name":"Month","package":"urn:vat:clir:computus"},{"id":"urn:vat:clir:computus#Paschalion","kind":"type_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"пасхалия: юлианская или григорианская (ст. 2)"}],"name":"Paschalion","package":"urn:vat:clir:computus"},{"id":"urn:vat:clir:computus#Reckoning","kind":"type_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"счёт дня Пасхи: один год по одной пасхалии"}],"name":"Reckoning","package":"urn:vat:clir:computus"},{"id":"urn:vat:clir:computus#WeekdayCorrection","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Воскресная поправка есть остаток от деления на семь суммы второго остатка вдвое, третьего вчетверо, лунной поправки вшестеро и вековой воскресной постоянной (ст. 6)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#WeekdayCycleResidue","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Третий остаток есть остаток от деления года на семь (ст. 4)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#easter_calendar_date","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи месяцем и числом в календаре своей пасхалии"}],"name":"easter_calendar_date","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_calendar_date/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_calendar_date/arg/month","labels":[],"name":"month","type":{"name":"urn:vat:clir:computus#Month"}},{"id":"urn:vat:clir:computus#easter_calendar_date/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_march_day","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи в счёте дней марта (19 апреля есть 50 марта)"}],"name":"easter_march_day","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_march_day/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_march_day/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_within_window","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи лежит в пределах пасхального окна: от 22 марта до 25 апреля"}],"name":"easter_within_window","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_within_window/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#ecclesiastical_full_moon","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"церковное полнолуние первого месяца в счёте дней марта (ст. 3)"}],"name":"ecclesiastical_full_moon","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#ecclesiastical_full_moon/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#ecclesiastical_full_moon/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#golden_number_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"первый остаток: год по модулю девятнадцать, место года в лунном цикле"}],"name":"golden_number_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#golden_number_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#golden_number_residue/arg/a","labels":[],"name":"a","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#julian_paschalion_applicable","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"к счёту применима юлианская пасхалия"}],"name":"julian_paschalion_applicable","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#julian_paschalion_applicable/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#leap_cycle_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"второй остаток: год по модулю четыре, место года в цикле високоса"}],"name":"leap_cycle_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#leap_cycle_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#leap_cycle_residue/arg/b","labels":[],"name":"b","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#lunar_correction","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"лунная поправка: на сколько дней после 21 марта приходится церковное полнолуние"}],"name":"lunar_correction","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#lunar_correction/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#lunar_correction/arg/d","labels":[],"name":"d","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#lunar_shift","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"вековая лунная постоянная счёта"}],"name":"lunar_shift","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#lunar_shift/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#lunar_shift/arg/m","labels":[],"name":"m","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#reckoning_paschalion","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"пасхалия, по которой ведётся счёт"}],"name":"reckoning_paschalion","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#reckoning_paschalion/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#reckoning_paschalion/arg/p","labels":[],"name":"p","type":{"name":"urn:vat:clir:computus#Paschalion"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#reckoning_year","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"год, для которого ведётся счёт"}],"name":"reckoning_year","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#reckoning_year/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#reckoning_year/arg/year","labels":[],"name":"year","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_correction","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"воскресная поправка: сколько дней отделяют церковное полнолуние от следующего воскресенья"}],"name":"weekday_correction","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_correction/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_correction/arg/e","labels":[],"name":"e","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_cycle_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"третий остаток: год по модулю семь, сдвиг дней недели"}],"name":"weekday_cycle_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_cycle_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_cycle_residue/arg/c","labels":[],"name":"c","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_shift","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"вековая воскресная постоянная счёта"}],"name":"weekday_shift","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_shift/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_shift/arg/n","labels":[],"name":"n","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"}],"tables":[]},"provenance":{"acts":[{"contributed":true,"fragmentCount":22,"fragments":["urn:vat:clir:computus#COMPUTUS_ART12","urn:vat:clir:computus#COMPUTUS_ART13","urn:vat:clir:computus#COMPUTUS_ART3","urn:vat:clir:computus#COMPUTUS_ART4","urn:vat:clir:computus#COMPUTUS_ART5","urn:vat:clir:computus#COMPUTUS_ART6","urn:vat:clir:computus#COMPUTUS_ART7","urn:vat:clir:computus#COMPUTUS_ART9","urn:vat:clir:computus#IG_S10","urn:vat:clir:computus#IG_S6","urn:vat:clir:computus#IG_S7"],"jurisdiction":"HolySee","namespace":"urn:vat:clir:computus","package":"vat-computus","title":"Пасхалия: юлианское и григорианское вычисление дня Пасхи (Inter gravissimas и форма Гаусса) — юрисдикция HolySee, НЕ Республика Казахстан — EXECUTABLE 5 §33.1"}],"caseHash":"sha256:b4389003ae1e43b5bb7ec7df90cdbcf2a5cccab3be8ffcb30c763e0d44000e49","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"Святой Престол","legalTime":"2026-08-31","mode":"audit","programHash":"sha256:d52416ad0e12fd22061ce34630f483822df76b188243c6120d962438d32a425d","resultHash":"sha256:bacca01595b58674f4eda092f2b38ef3406b3b0fc2a9d1beaa015abe3ae8e27d","rustCodeHash":"sha256:d368cafc7162ed7a6563df5e5c943a57be26fa8aeb3179b530fe3bdd67fe9be4","timezone":"Asia/Qyzylorda"},"request":{"args":["Пасха-2025-юлианская","April",7],"facts":[{"args":["Пасха-2025-юлианская",2025],"predicate":"reckoning_year"},{"args":["Пасха-2025-юлианская","Julian"],"predicate":"reckoning_paschalion"}],"kind":"truth","legalTime":"2026-08-31","package":"vat-computus","predicate":"easter_calendar_date","proof":true},"sources":[{"contentHash":"sha256:1e5b3608a0ad88dd8a93fa1592c1b63f07edd55055b6081faacdabbd9e659d80","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART12","kind":"fragment","locator":"article/12","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:754fc50e23375e1d4083328131363082bd4c9e262e104f90803e42ab426e021e","language":"ru-KZ","status":"official","text":"День Пасхи не может быть ранее двадцать второго марта и не может быть позднее двадцать пятого апреля, то есть пятьдесят шестого марта. Предел исчисляется по той пасхалии, по которой ведётся счёт, и в её собственном календаре.\n\nСвидетели пределов: 1818 год, Пасха которого по григорианской пасхалии приходится на двадцать второе марта — самый ранний возможный день; и 1943 год, Пасха которого приходится на двадцать пятое апреля — самый поздний возможный день.\n\nНарушение предела означает ошибку счёта, а не редкий год. Счёт, вышедший за предел, настоящим изложением объявляется НЕДОПУСТИМЫМ, и день, полученный таким счётом, днём Пасхи не является."}]},{"contentHash":"sha256:632408f4cbe22978fda7605e538744e6988ea93d7c4dedcdcf1bd61c9895b50d","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART13","kind":"fragment","locator":"article/13","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:2ff4c3c5b35e1500f1f4cc1cbfdca171410dca46d4fdd0113af539a1d3b20838","language":"ru-KZ","status":"official","text":"День, выраженный числом дней марта, переводится в месяц и число так:\n\nесли число не превышает тридцати одного — месяцем признаётся март, а числом месяца само это число;\nесли число более тридцати одного и не превышает шестидесяти одного — месяцем признаётся апрель, а числом месяца это число, уменьшенное на тридцать один;\nесли число более шестидесяти одного и не превышает девяноста двух — месяцем признаётся май, а числом месяца это число, уменьшенное на шестьдесят один.\n\nМай возникает не у самой Пасхи, а у юлианской Пасхи, приведённой к григорианской оси по статье 14."}]},{"contentHash":"sha256:23775b3cec4895a745320e5d63de4998e6ed8fc40ec8f6499bf5cb8b5c58a4b6","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART3","kind":"fragment","locator":"article/3","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:4b383af27c4d86275a70d85820b70285beb0bdd6b014dde00150aeaf613d57ca","language":"ru-KZ","status":"official","text":"Пасха приходится на первое воскресенье после первого полнолуния, которое наступает в день весеннего равноденствия или после него. Днём весеннего равноденствия для целей счёта признаётся двадцать первое марта. Пункт 6 буллы называет те же три вещи: место весеннего равноденствия; положение четырнадцатой луны первого месяца, падающей на день равноденствия или ближайшей после него; первое воскресенье после этой четырнадцатой луны. Пункт 7 буллы возвращает равноденствие на двенадцатые календы апреля, то есть на двадцать первое марта.\n\nПолнолуние настоящего изложения есть ЦЕРКОВНАЯ ЛУНА — четырнадцатый день лунного месяца, вычисленный по циклу. Церковная луна не есть астрономическое полнолуние и не приближает его: она определяется циклом и только циклом. Пункт 10 буллы устанавливает для этого цикл эпакт вместо золотого числа и говорит о нём, что он, «приведённый к твёрдой мере золотого числа, делает так, что новолуние и пасхальная четырнадцатая луна всегда сохраняют свои истинные места». Расхождение церковной луны с наблюдаемым небом ошибкой счёта не является и настоящим изложением не устраняется.\n\nРавным образом днём равноденствия признаётся двадцать первое марта независимо от того, на какой день приходится равноденствие астрономическое."}]},{"contentHash":"sha256:0958c74a4cf6e0891eefbb4bfa964ef938f4d66d314a150d9018af3bb56f7640","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART4","kind":"fragment","locator":"article/4","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:075ee05194c61c63cba767aeaae0791731fa8b873ba2f27b71674fdf6783b8e9","language":"ru-KZ","status":"official","text":"Счёт начинается с трёх остатков от деления года.\n\nПервый остаток есть остаток от деления года на девятнадцать. Он выражает место года в девятнадцатилетнем лунном цикле.\n\nВторой остаток есть остаток от деления года на четыре. Он выражает место года в четырёхлетнем цикле високоса.\n\nТретий остаток есть остаток от деления года на семь. Он выражает сдвиг дней недели от года к году.\n\nОстаток берётся неотрицательным: он есть число от нуля до делителя без единицы."}]},{"contentHash":"sha256:e41bc485a5cb52ddce285328a7ed01b13b471642caf485aa00bc820fd321db23","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART5","kind":"fragment","locator":"article/5","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:9a8a856f1951c250f9862b03d677cf8a7c1dec7d89ee8d1106a31b44d115b6d4","language":"ru-KZ","status":"official","text":"Лунная поправка есть остаток от деления на тридцать суммы двух слагаемых: первого остатка, умноженного на девятнадцать, и вековой лунной постоянной.\n\nЛунная поправка есть число от нуля до двадцати девяти. Она указывает, на сколько дней после двадцать первого марта приходится церковное полнолуние первого месяца."}]},{"contentHash":"sha256:40b54cfc0401894b1a934b38d00575c5e0848a57f5151c4cfa3a0cd7c365702a","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART6","kind":"fragment","locator":"article/6","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:d566eb346bd5a363baf83261504720fff585f91212977c0ed01f6326205a35ee","language":"ru-KZ","status":"official","text":"Воскресная поправка есть остаток от деления на семь суммы четырёх слагаемых: второго остатка, умноженного на два; третьего остатка, умноженного на четыре; лунной поправки, умноженной на шесть; и вековой воскресной постоянной.\n\nВоскресная поправка есть число от нуля до шести. Она указывает, сколько дней отделяют церковное полнолуние от следующего за ним воскресенья. Воскресность дня Пасхи обеспечивается этой поправкой, и отдельной проверки дня недели счёт не требует."}]},{"contentHash":"sha256:47cedbf2a8b354ad2eda4f4790f758c2278e803d155f610ad45ac64a9ce6e1d8","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART7","kind":"fragment","locator":"article/7","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:3c18e88901141a5572d897f4ba11610ea419986ca0a4197a6883c18e0ac21e92","language":"ru-KZ","status":"official","text":"День Пасхи есть двадцать второе марта, увеличенное на лунную поправку и на воскресную поправку.\n\nДень Пасхи выражается ЧИСЛОМ ДНЕЙ МАРТА: первое апреля есть тридцать второе марта, девятнадцатое апреля есть пятидесятое марта, двадцать пятое апреля есть пятьдесят шестое марта. Такое выражение употреблено затем, чтобы счёт оставался целочисленным и не требовал календаря.\n\nПравило настоящей статьи применяется, если счёт не подпадает под статью 10 или статью 11."}]},{"contentHash":"sha256:7282dea86f438adc29982e0709108f50c3307c84eac994a1329f8045aa682960","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART9","kind":"fragment","locator":"article/9","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:4151fe2dcadd30ad137de47d7b1ae4f03fe4672db1c1ff036708e1e706d80de7","language":"ru-KZ","status":"official","text":"Вековая лунная постоянная юлианской пасхалии равна пятнадцати, вековая воскресная постоянная — шести. Обе постоянные юлианской пасхалии одинаковы для всякого года и от века не зависят.\n\nЮлианская пасхалия к году ранее 1583-го применима: она старше буллы, и рядов, ограничивающих её действие, настоящее изложение не устанавливает."}]},{"contentHash":"sha256:af6e0d18fb388190264976067672f313fedd625fbe0279d219a3318e691bdaa6","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S10","kind":"fragment","locator":"section/10","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:2eccbf6e6ae51ded85390d0501b5b33c76cc9b96e2a7edc5ce821fb3cacd34a7","language":"la","status":"official","text":"10. Quo item XIV paschalis recte inveniatur, itemque dies lunae, iuxta antiquum Ecclesiae morem ex Martyrologio singulis diebus ediscendi, fideli populo vere proponantur, statuimus ut, amoto aureo numero de kalendario, in eius locum substituatur cyclus epactarum; qui ad certam (uti diximus) aurei numeri normam directus, efficit ut novilunium et XIV paschalis vera loca semper retineant. Idque manifeste apparet ex nostri explicatione kalendarii, in quo descriptae sunt etiam tabulae paschales secundum priscum Ecclesiae ritum, quo certius et facilius sacrosanctum Pascha inveniri possit."}]},{"contentHash":"sha256:2f023c42666b3d0d94ab5cf4a12a04ed4db68d446d902d68d8126d853e50cdcd","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S6","kind":"fragment","locator":"section/6","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:a786cab981920d5495271d28b619884c5c68ebc6324a4d5cc944a5f6b6490359","language":"la","status":"official","text":"6. Considerantes igitur nos, ad rectam paschalis festi celebrationem iuxta sanctorum Patrum ac veterum Romanorum Pontificum, praesertim Pii et Victoris primorum, necnon magni illius oecumenici concilii Nicaeni et aliorum sanctiones, tria necessaria coniungenda et statuenda esse; primum, certam verni aequinoctii sedem; deinde rectam positionem XIV lunae primi mensis, quae vel in ipsum aequinoctii diem incidit, vel ei proxime succedit; postremo primum quemque diem dominicum, qui eamdem XIV lunam sequitur; curavimus non solum aequinoctium vernum in pristinam sedem, a qua iam a concilio Nicaeno decem circiter diebus recessit, restituendum, et XIV paschalem suo in loco, a quo quatuor et eo amplius dies hoc tempore distat, reponendam, sed viam quoque tradendam et rationem, qua cavetur, ut in posterum aequinoctium et XIV luna a propriis sedibus nunquam dimoveantur."}]},{"contentHash":"sha256:27400b859b5efd5caf9738f82f01e61d25f8ab5d48fb52943773380df4cb15ca","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S7","kind":"fragment","locator":"section/7","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:6ccaaa2e4953ae9fa1ff203a620780fc0c047a8af3326728e888f758a76d3f5c","language":"la","status":"official","text":"7. Quo igitur vernum aequinoctium, quod a patribus concilii Nicaeni ad XII kalendas aprilis fuit constitutum, ad eamdem sedem restituatur, praecipimus et mandamus ut de mense octobris anni MDLXXXII decem dies inclusive a tertia nonarum usque ad pridie idus eximantur, et dies, qui festum S. Francisci IV nonas celebrari solitum sequitur, dicatur idus octobris, atque in eo celebretur festum Ss. Dionysii, Rustici et Eleutherii martyrum, cum commemoratione S. Marci Papae et confessoris, et Ss. Sergii, Bacchi, Marcelli et Apulei martyrum; septimodecimo vero kalendas novembris, qui dies proxime sequitur, celebretur festum S. Callisti Papae et martyris; deinde XVI kalendas novembris fiat officium et missa de dominica XVIII post Pentecostem, mutata littera dominicali G in C; quintodecimo denique kalendas novembris dies festus agatur S. Lucae evangelistae, a quo reliqui deinceps agantur festi dies, prout sunt in kalendario descripti."}]}],"text":"easter_calendar_date: **TRUE_ONLY** — установлено\nВыведено правом: golden_number_residue(Пасха-2025-юлианская, 11); leap_cycle_residue(Пасха-2025-юлианская, 1); weekday_cycle_residue(Пасха-2025-юлианская, 2); julian_paschalion_applicable(Пасха-2025-юлианская); lunar_shift(Пасха-2025-юлианская, 15); weekday_shift(Пасха-2025-юлианская, 6); lunar_correction(Пасха-2025-юлианская, 14); ecclesiastical_full_moon(Пасха-2025-юлианская, 35); weekday_correction(Пасха-2025-юлианская, 2); easter_march_day(Пасха-2025-юлианская, 38); easter_within_window(Пасха-2025-юлианская); easter_calendar_date(Пасха-2025-юлианская, April, 7)\nПрименены правила: EasterDateInApril, EasterDay, EasterWithinWindow, EcclesiasticalFullMoon, GoldenNumberResidue, JulianLunarShiftIsFifteen, JulianPaschalionApplicable, JulianWeekdayShiftIsSix, LeapCycleResidue, LunarCorrection, WeekdayCorrection, WeekdayCycleResidue\nПраво (Святой Престол): Пасхалия: юлианское и григорианское вычисление дня Пасхи (Inter gravissimas и форма Гаусса) — EXECUTABLE 5 §33.1 (programHash sha256:d52416ad0e12…)\nproof-граф: 18 узлов — поле evaluation готово для law_explain"},{"answer":{"answer":{"evaluationStatus":"COMPUTED","kind":"TRUTH","meaning":"установлено","missingInputs":[],"truthStatus":"TRUE_ONLY"},"closedEditionRules":[],"derived":["golden_number_residue(Пасха-2025-григорианская, 11)","leap_cycle_residue(Пасха-2025-григорианская, 1)","weekday_cycle_residue(Пасха-2025-григорианская, 2)","gregorian_paschalion_applicable(Пасха-2025-григорианская)","lunar_correction(Пасха-2025-григорианская, 23)","ecclesiastical_full_moon(Пасха-2025-григорианская, 44)","weekday_correction(Пасха-2025-григорианская, 6)","easter_march_day(Пасха-2025-григорианская, 51)","easter_within_window(Пасха-2025-григорианская)","easter_calendar_date(Пасха-2025-григорианская, April, 20)","easter_on_gregorian_axis(Пасха-2025-григорианская, 51)","easter_axis_date(Пасха-2025-григорианская, April, 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пасхалии"}],"name":"Reckoning","package":"urn:vat:clir:computus"},{"id":"urn:vat:clir:computus#WeekdayCorrection","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Воскресная поправка есть остаток от деления на семь суммы второго остатка вдвое, третьего вчетверо, лунной поправки вшестеро и вековой воскресной постоянной (ст. 6)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#WeekdayCycleResidue","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Третий остаток есть остаток от деления года на семь (ст. 4)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#easter_axis_date","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи счёта на григорианской оси месяцем и числом"}],"name":"easter_axis_date","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_axis_date/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_axis_date/arg/month","labels":[],"name":"month","type":{"name":"urn:vat:clir:computus#Month"}},{"id":"urn:vat:clir:computus#easter_axis_date/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_calendar_date","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи месяцем и числом в календаре своей пасхалии"}],"name":"easter_calendar_date","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_calendar_date/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_calendar_date/arg/month","labels":[],"name":"month","type":{"name":"urn:vat:clir:computus#Month"}},{"id":"urn:vat:clir:computus#easter_calendar_date/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_march_day","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи в счёте дней марта (19 апреля есть 50 марта)"}],"name":"easter_march_day","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_march_day/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_march_day/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_on_gregorian_axis","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи счёта, приведённый к григорианской оси, в счёте дней марта"}],"name":"easter_on_gregorian_axis","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_on_gregorian_axis/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_on_gregorian_axis/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_within_window","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи лежит в пределах пасхального окна: от 22 марта до 25 апреля"}],"name":"easter_within_window","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_within_window/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#ecclesiastical_full_moon","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"церковное полнолуние первого месяца в счёте дней марта (ст. 3)"}],"name":"ecclesiastical_full_moon","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#ecclesiastical_full_moon/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#ecclesiastical_full_moon/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#golden_number_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"первый остаток: год по модулю девятнадцать, место года в лунном цикле"}],"name":"golden_number_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#golden_number_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#golden_number_residue/arg/a","labels":[],"name":"a","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#gregorian_paschalion_applicable","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"к счёту применима григорианская пасхалия"}],"name":"gregorian_paschalion_applicable","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#gregorian_paschalion_applicable/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#leap_cycle_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"второй остаток: год по модулю четыре, место года в цикле високоса"}],"name":"leap_cycle_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#leap_cycle_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#leap_cycle_residue/arg/b","labels":[],"name":"b","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#lunar_correction","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"лунная поправка: на сколько дней после 21 марта приходится церковное полнолуние"}],"name":"lunar_correction","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#lunar_correction/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#lunar_correction/arg/d","labels":[],"name":"d","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#lunar_shift","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"вековая лунная постоянная счёта"}],"name":"lunar_shift","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#lunar_shift/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#lunar_shift/arg/m","labels":[],"name":"m","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#reckoning_paschalion","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"пасхалия, по которой ведётся счёт"}],"name":"reckoning_paschalion","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#reckoning_paschalion/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#reckoning_paschalion/arg/p","labels":[],"name":"p","type":{"name":"urn:vat:clir:computus#Paschalion"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#reckoning_year","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"год, для которого ведётся счёт"}],"name":"reckoning_year","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#reckoning_year/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#reckoning_year/arg/year","labels":[],"name":"year","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_correction","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"воскресная поправка: сколько дней отделяют церковное полнолуние от следующего воскресенья"}],"name":"weekday_correction","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_correction/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_correction/arg/e","labels":[],"name":"e","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_cycle_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"третий остаток: год по модулю семь, сдвиг дней недели"}],"name":"weekday_cycle_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_cycle_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_cycle_residue/arg/c","labels":[],"name":"c","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_shift","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"вековая воскресная постоянная счёта"}],"name":"weekday_shift","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_shift/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_shift/arg/n","labels":[],"name":"n","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"}],"tables":[]},"provenance":{"acts":[{"contributed":true,"fragmentCount":22,"fragments":["urn:vat:clir:computus#COMPUTUS_ART12","urn:vat:clir:computus#COMPUTUS_ART13","urn:vat:clir:computus#COMPUTUS_ART14","urn:vat:clir:computus#COMPUTUS_ART2","urn:vat:clir:computus#COMPUTUS_ART3","urn:vat:clir:computus#COMPUTUS_ART4","urn:vat:clir:computus#COMPUTUS_ART5","urn:vat:clir:computus#COMPUTUS_ART6","urn:vat:clir:computus#COMPUTUS_ART7","urn:vat:clir:computus#IG_S10","urn:vat:clir:computus#IG_S14","urn:vat:clir:computus#IG_S6","urn:vat:clir:computus#IG_S7"],"jurisdiction":"HolySee","namespace":"urn:vat:clir:computus","package":"vat-computus","title":"Пасхалия: юлианское и григорианское вычисление дня Пасхи (Inter gravissimas и форма Гаусса) — юрисдикция HolySee, НЕ Республика Казахстан — EXECUTABLE 5 §33.1"}],"caseHash":"sha256:c28b910ba550b2f42fe9a988e9971c45c9dc76a5e3c56e0d2556c11498b03557","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"Святой Престол","legalTime":"2026-08-31","mode":"audit","programHash":"sha256:d52416ad0e12fd22061ce34630f483822df76b188243c6120d962438d32a425d","resultHash":"sha256:82abe4afd52094f3d1d0ba0c88f5d45f5c71693831de78fb14c703cdf8cfd343","rustCodeHash":"sha256:d368cafc7162ed7a6563df5e5c943a57be26fa8aeb3179b530fe3bdd67fe9be4","timezone":"Asia/Qyzylorda"},"request":{"args":["Пасха-2025-григорианская","April",20],"facts":[{"args":["Пасха-2025-григорианская",2025],"predicate":"reckoning_year"},{"args":["Пасха-2025-григорианская","Gregorian"],"predicate":"reckoning_paschalion"},{"args":["Пасха-2025-григорианская",24],"predicate":"lunar_shift"},{"args":["Пасха-2025-григорианская",5],"predicate":"weekday_shift"}],"kind":"truth","legalTime":"2026-08-31","package":"vat-computus","predicate":"easter_calendar_date","proof":true},"sources":[{"contentHash":"sha256:1e5b3608a0ad88dd8a93fa1592c1b63f07edd55055b6081faacdabbd9e659d80","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART12","kind":"fragment","locator":"article/12","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:754fc50e23375e1d4083328131363082bd4c9e262e104f90803e42ab426e021e","language":"ru-KZ","status":"official","text":"День Пасхи не может быть ранее двадцать второго марта и не может быть позднее двадцать пятого апреля, то есть пятьдесят шестого марта. Предел исчисляется по той пасхалии, по которой ведётся счёт, и в её собственном календаре.\n\nСвидетели пределов: 1818 год, Пасха которого по григорианской пасхалии приходится на двадцать второе марта — самый ранний возможный день; и 1943 год, Пасха которого приходится на двадцать пятое апреля — самый поздний возможный день.\n\nНарушение предела означает ошибку счёта, а не редкий год. Счёт, вышедший за предел, настоящим изложением объявляется НЕДОПУСТИМЫМ, и день, полученный таким счётом, днём Пасхи не является."}]},{"contentHash":"sha256:632408f4cbe22978fda7605e538744e6988ea93d7c4dedcdcf1bd61c9895b50d","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART13","kind":"fragment","locator":"article/13","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:2ff4c3c5b35e1500f1f4cc1cbfdca171410dca46d4fdd0113af539a1d3b20838","language":"ru-KZ","status":"official","text":"День, выраженный числом дней марта, переводится в месяц и число так:\n\nесли число не превышает тридцати одного — месяцем признаётся март, а числом месяца само это число;\nесли число более тридцати одного и не превышает шестидесяти одного — месяцем признаётся апрель, а числом месяца это число, уменьшенное на тридцать один;\nесли число более шестидесяти одного и не превышает девяноста двух — месяцем признаётся май, а числом месяца это число, уменьшенное на шестьдесят один.\n\nМай возникает не у самой Пасхи, а у юлианской Пасхи, приведённой к григорианской оси по статье 14."}]},{"contentHash":"sha256:afeeab185927c28df6b0eda328cf603204dd258ced6bbc8f85520c9d7a2e3a46","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART14","kind":"fragment","locator":"article/14","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:2abf317206cf3d378363cd0b9cbd56873c5a79adbda5d8ad2e7d3c3f632a2b46","language":"ru-KZ","status":"official","text":"Два счёта одного года по разным пасхалиям сопоставимы только на одной оси. Днём юлианской Пасхи на григорианской оси признаётся день юлианской Пасхи, увеличенный на смещение осей.\n\nСмещение осей зависит от года и принимает следующие значения: для годов с 1583 по 1699 — десять дней; с 1700 по 1799 — одиннадцать; с 1800 по 1899 — двенадцать; с 1900 по 2099 — тринадцать; с 2100 по 2199 — четырнадцать.\n\nГраницы рядов смещения совпадают с границами рядов статьи 8, и совпадение это не случайно: оба ряда следуют из одного правила пункта 9 буллы о вековом високосе.\n\nДва счёта одного года, ведённые по разным пасхалиям, СОВПАДАЮТ, если день григорианской Пасхи и день юлианской Пасхи на григорианской оси равны, и РАСХОДЯТСЯ, если они не равны. Совпадение и расхождение выводятся из счёта; ни то, ни другое не устанавливается настоящим изложением заранее и ни к одной из пасхалий не относится как её свойство.\n\nСвидетель совпадения — 2025 год: обе пасхалии дают двадцатое апреля. Свидетель расхождения — 2026 год: григорианская пасхалия даёт пятое апреля, юлианская — тридцатое марта своего календаря, то есть двенадцатое апреля на григорианской оси."}]},{"contentHash":"sha256:83a5bcd53e698c9eac537b81b8bcf2de7b25b761104b0f0c94409c5dfe73d259","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART2","kind":"fragment","locator":"article/2","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:47fc5a2aaed103baaa3979acaf40410a0c102714fd7710e6cfdea224fafa0db4","language":"ru-KZ","status":"official","text":"Пасхалий две: юлианская и григорианская.\n\nЮлианская пасхалия старше буллы. Булла её не учреждала и не отменяла: пункт 14 буллы отменяет старый календарь для тех, кто булле подчинён, а не для всего христианского мира. Юлианская пасхалия действует по сей день в православной традиции.\n\nГригорианская пасхалия введена буллой и применяется к годам начиная с 1583-го — первого года, пасха которого считается по исправленному календарю.\n\nНи одна из двух пасхалий не имеет преимущества перед другой. Настоящее изложение не разрешает спора о том, какая из них правильна, и правила такого разрешения не содержит. Какая пасхалия применяется к счёту — обстоятельство счёта, а не вывод из настоящего изложения."}]},{"contentHash":"sha256:23775b3cec4895a745320e5d63de4998e6ed8fc40ec8f6499bf5cb8b5c58a4b6","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART3","kind":"fragment","locator":"article/3","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:4b383af27c4d86275a70d85820b70285beb0bdd6b014dde00150aeaf613d57ca","language":"ru-KZ","status":"official","text":"Пасха приходится на первое воскресенье после первого полнолуния, которое наступает в день весеннего равноденствия или после него. Днём весеннего равноденствия для целей счёта признаётся двадцать первое марта. Пункт 6 буллы называет те же три вещи: место весеннего равноденствия; положение четырнадцатой луны первого месяца, падающей на день равноденствия или ближайшей после него; первое воскресенье после этой четырнадцатой луны. Пункт 7 буллы возвращает равноденствие на двенадцатые календы апреля, то есть на двадцать первое марта.\n\nПолнолуние настоящего изложения есть ЦЕРКОВНАЯ ЛУНА — четырнадцатый день лунного месяца, вычисленный по циклу. Церковная луна не есть астрономическое полнолуние и не приближает его: она определяется циклом и только циклом. Пункт 10 буллы устанавливает для этого цикл эпакт вместо золотого числа и говорит о нём, что он, «приведённый к твёрдой мере золотого числа, делает так, что новолуние и пасхальная четырнадцатая луна всегда сохраняют свои истинные места». Расхождение церковной луны с наблюдаемым небом ошибкой счёта не является и настоящим изложением не устраняется.\n\nРавным образом днём равноденствия признаётся двадцать первое марта независимо от того, на какой день приходится равноденствие астрономическое."}]},{"contentHash":"sha256:0958c74a4cf6e0891eefbb4bfa964ef938f4d66d314a150d9018af3bb56f7640","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART4","kind":"fragment","locator":"article/4","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:075ee05194c61c63cba767aeaae0791731fa8b873ba2f27b71674fdf6783b8e9","language":"ru-KZ","status":"official","text":"Счёт начинается с трёх остатков от деления года.\n\nПервый остаток есть остаток от деления года на девятнадцать. Он выражает место года в девятнадцатилетнем лунном цикле.\n\nВторой остаток есть остаток от деления года на четыре. Он выражает место года в четырёхлетнем цикле високоса.\n\nТретий остаток есть остаток от деления года на семь. Он выражает сдвиг дней недели от года к году.\n\nОстаток берётся неотрицательным: он есть число от нуля до делителя без единицы."}]},{"contentHash":"sha256:e41bc485a5cb52ddce285328a7ed01b13b471642caf485aa00bc820fd321db23","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART5","kind":"fragment","locator":"article/5","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:9a8a856f1951c250f9862b03d677cf8a7c1dec7d89ee8d1106a31b44d115b6d4","language":"ru-KZ","status":"official","text":"Лунная поправка есть остаток от деления на тридцать суммы двух слагаемых: первого остатка, умноженного на девятнадцать, и вековой лунной постоянной.\n\nЛунная поправка есть число от нуля до двадцати девяти. Она указывает, на сколько дней после двадцать первого марта приходится церковное полнолуние первого месяца."}]},{"contentHash":"sha256:40b54cfc0401894b1a934b38d00575c5e0848a57f5151c4cfa3a0cd7c365702a","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART6","kind":"fragment","locator":"article/6","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:d566eb346bd5a363baf83261504720fff585f91212977c0ed01f6326205a35ee","language":"ru-KZ","status":"official","text":"Воскресная поправка есть остаток от деления на семь суммы четырёх слагаемых: второго остатка, умноженного на два; третьего остатка, умноженного на четыре; лунной поправки, умноженной на шесть; и вековой воскресной постоянной.\n\nВоскресная поправка есть число от нуля до шести. Она указывает, сколько дней отделяют церковное полнолуние от следующего за ним воскресенья. Воскресность дня Пасхи обеспечивается этой поправкой, и отдельной проверки дня недели счёт не требует."}]},{"contentHash":"sha256:47cedbf2a8b354ad2eda4f4790f758c2278e803d155f610ad45ac64a9ce6e1d8","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART7","kind":"fragment","locator":"article/7","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:3c18e88901141a5572d897f4ba11610ea419986ca0a4197a6883c18e0ac21e92","language":"ru-KZ","status":"official","text":"День Пасхи есть двадцать второе марта, увеличенное на лунную поправку и на воскресную поправку.\n\nДень Пасхи выражается ЧИСЛОМ ДНЕЙ МАРТА: первое апреля есть тридцать второе марта, девятнадцатое апреля есть пятидесятое марта, двадцать пятое апреля есть пятьдесят шестое марта. Такое выражение употреблено затем, чтобы счёт оставался целочисленным и не требовал календаря.\n\nПравило настоящей статьи применяется, если счёт не подпадает под статью 10 или статью 11."}]},{"contentHash":"sha256:af6e0d18fb388190264976067672f313fedd625fbe0279d219a3318e691bdaa6","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S10","kind":"fragment","locator":"section/10","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:2eccbf6e6ae51ded85390d0501b5b33c76cc9b96e2a7edc5ce821fb3cacd34a7","language":"la","status":"official","text":"10. Quo item XIV paschalis recte inveniatur, itemque dies lunae, iuxta antiquum Ecclesiae morem ex Martyrologio singulis diebus ediscendi, fideli populo vere proponantur, statuimus ut, amoto aureo numero de kalendario, in eius locum substituatur cyclus epactarum; qui ad certam (uti diximus) aurei numeri normam directus, efficit ut novilunium et XIV paschalis vera loca semper retineant. Idque manifeste apparet ex nostri explicatione kalendarii, in quo descriptae sunt etiam tabulae paschales secundum priscum Ecclesiae ritum, quo certius et facilius sacrosanctum Pascha inveniri possit."}]},{"contentHash":"sha256:30bef417eb2b1ffb67e1fcfcef52901cc0adc3aa79537e73829d6069bd2fab9b","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S14","kind":"fragment","locator":"section/14","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:cbf9d876f853dc88b589c2e9db0eb8c7924dc46115624a5178bf9f93e9cde733","language":"la","status":"official","text":"14. Tollimus autem et abolemus omnino vetus kalendarium, volumusque ut omnes patriarchae, primates, archiepiscopi, episcopi, abbates et ceteri ecclesiarum praesides novum kalendarium (ad quod etiam accomodata est ratio martyrologii), pro divinis officiis recitandis et festis celebrandis, in suas quisque ecclesias, monasteria, conventus, ordines, militias et dioeceses introducant, et eo solo utantur, tam ipsi quam ceteri omnes presbyteri et clerici saeculares et regulares utriusque sexus, necnon milites et omnes christifideles, cuius usus incipiet post decem illos dies ex mense octobri anni MDLXXXII exemptos. Iis vero, qui adeo longinquas incolunt regiones, ut ante praescriptum a nobis tempus harum litterarum notitiam habere non possint, liceat, eodem tamen octobri mense insequentis anni MDLXXXIII vel alterius, cum primum scilicet ad eos hae nostrae litterae pervenerint, modo a nobis paulo ante tradito, eiusmodi mutationem facere, ut copiosius in nostro kalendario anni correctionis explicabitur."}]},{"contentHash":"sha256:2f023c42666b3d0d94ab5cf4a12a04ed4db68d446d902d68d8126d853e50cdcd","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S6","kind":"fragment","locator":"section/6","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:a786cab981920d5495271d28b619884c5c68ebc6324a4d5cc944a5f6b6490359","language":"la","status":"official","text":"6. Considerantes igitur nos, ad rectam paschalis festi celebrationem iuxta sanctorum Patrum ac veterum Romanorum Pontificum, praesertim Pii et Victoris primorum, necnon magni illius oecumenici concilii Nicaeni et aliorum sanctiones, tria necessaria coniungenda et statuenda esse; primum, certam verni aequinoctii sedem; deinde rectam positionem XIV lunae primi mensis, quae vel in ipsum aequinoctii diem incidit, vel ei proxime succedit; postremo primum quemque diem dominicum, qui eamdem XIV lunam sequitur; curavimus non solum aequinoctium vernum in pristinam sedem, a qua iam a concilio Nicaeno decem circiter diebus recessit, restituendum, et XIV paschalem suo in loco, a quo quatuor et eo amplius dies hoc tempore distat, reponendam, sed viam quoque tradendam et rationem, qua cavetur, ut in posterum aequinoctium et XIV luna a propriis sedibus nunquam dimoveantur."}]},{"contentHash":"sha256:27400b859b5efd5caf9738f82f01e61d25f8ab5d48fb52943773380df4cb15ca","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S7","kind":"fragment","locator":"section/7","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:6ccaaa2e4953ae9fa1ff203a620780fc0c047a8af3326728e888f758a76d3f5c","language":"la","status":"official","text":"7. Quo igitur vernum aequinoctium, quod a patribus concilii Nicaeni ad XII kalendas aprilis fuit constitutum, ad eamdem sedem restituatur, praecipimus et mandamus ut de mense octobris anni MDLXXXII decem dies inclusive a tertia nonarum usque ad pridie idus eximantur, et dies, qui festum S. Francisci IV nonas celebrari solitum sequitur, dicatur idus octobris, atque in eo celebretur festum Ss. Dionysii, Rustici et Eleutherii martyrum, cum commemoratione S. Marci Papae et confessoris, et Ss. Sergii, Bacchi, Marcelli et Apulei martyrum; septimodecimo vero kalendas novembris, qui dies proxime sequitur, celebretur festum S. Callisti Papae et martyris; deinde XVI kalendas novembris fiat officium et missa de dominica XVIII post Pentecostem, mutata littera dominicali G in C; quintodecimo denique kalendas novembris dies festus agatur S. Lucae evangelistae, a quo reliqui deinceps agantur festi dies, prout sunt in kalendario descripti."}]}],"text":"easter_calendar_date: **TRUE_ONLY** — установлено\nВыведено правом: golden_number_residue(Пасха-2025-григорианская, 11); leap_cycle_residue(Пасха-2025-григорианская, 1); weekday_cycle_residue(Пасха-2025-григорианская, 2); gregorian_paschalion_applicable(Пасха-2025-григорианская); lunar_correction(Пасха-2025-григорианская, 23); ecclesiastical_full_moon(Пасха-2025-григорианская, 44); weekday_correction(Пасха-2025-григорианская, 6); easter_march_day(Пасха-2025-григорианская, 51); easter_within_window(Пасха-2025-григорианская); easter_calendar_date(Пасха-2025-григорианская, April, 20); easter_on_gregorian_axis(Пасха-2025-григорианская, 51); easter_axis_date(Пасха-2025-григорианская, April, 20)\nПрименены правила: AxisDateInApril, EasterDateInApril, EasterDay, EasterWithinWindow, EcclesiasticalFullMoon, GoldenNumberResidue, GregorianPaschalionApplicable, GregorianReckoningIsOnItsOwnAxis, LeapCycleResidue, LunarCorrection, WeekdayCorrection, WeekdayCycleResidue\nПраво (Святой Престол): Пасхалия: юлианское и григорианское вычисление дня Пасхи (Inter gravissimas и форма Гаусса) — EXECUTABLE 5 §33.1 (programHash sha256:d52416ad0e12…)\nproof-граф: 22 узлов — поле evaluation готово для law_explain"},{"answer":{"answer":{"evaluationStatus":"COMPUTED","kind":"TRUTH","meaning":"установлено","missingInputs":[],"truthStatus":"TRUE_ONLY"},"closedEditionRules":[],"derived":["golden_number_residue(Пасха-1981, 5)","leap_cycle_residue(Пасха-1981, 1)","weekday_cycle_residue(Пасха-1981, 0)","gregorian_paschalion_applicable(Пасха-1981)","lunar_correction(Пасха-1981, 29)","ecclesiastical_full_moon(Пасха-1981, 50)","weekday_correction(Пасха-1981, 6)","easter_march_day(Пасха-1981, 57)","easter_march_day(Пасха-1981, 50)","easter_within_window(Пасха-1981)","easter_calendar_date(Пасха-1981, April, 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5)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#Month","kind":"type_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"месяц дня Пасхи: март, апрель либо май (ст. 13)"}],"name":"Month","package":"urn:vat:clir:computus"},{"id":"urn:vat:clir:computus#Paschalion","kind":"type_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"пасхалия: юлианская или григорианская (ст. 2)"}],"name":"Paschalion","package":"urn:vat:clir:computus"},{"id":"urn:vat:clir:computus#Reckoning","kind":"type_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"счёт дня Пасхи: один год по одной пасхалии"}],"name":"Reckoning","package":"urn:vat:clir:computus"},{"id":"urn:vat:clir:computus#WeekdayCorrection","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Воскресная поправка есть остаток от деления на семь суммы второго остатка вдвое, третьего вчетверо, лунной поправки вшестеро и вековой воскресной постоянной (ст. 6)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#WeekdayCycleResidue","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Третий остаток есть остаток от деления года на семь (ст. 4)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#easter_axis_date","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи счёта на григорианской оси месяцем и числом"}],"name":"easter_axis_date","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_axis_date/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_axis_date/arg/month","labels":[],"name":"month","type":{"name":"urn:vat:clir:computus#Month"}},{"id":"urn:vat:clir:computus#easter_axis_date/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_calendar_date","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи месяцем и числом в календаре своей пасхалии"}],"name":"easter_calendar_date","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_calendar_date/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_calendar_date/arg/month","labels":[],"name":"month","type":{"name":"urn:vat:clir:computus#Month"}},{"id":"urn:vat:clir:computus#easter_calendar_date/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_march_day","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи в счёте дней марта (19 апреля есть 50 марта)"}],"name":"easter_march_day","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_march_day/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_march_day/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_on_gregorian_axis","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи счёта, приведённый к григорианской оси, в счёте дней марта"}],"name":"easter_on_gregorian_axis","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_on_gregorian_axis/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_on_gregorian_axis/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_within_window","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи лежит в пределах пасхального окна: от 22 марта до 25 апреля"}],"name":"easter_within_window","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_within_window/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#ecclesiastical_full_moon","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"церковное полнолуние первого месяца в счёте дней марта (ст. 3)"}],"name":"ecclesiastical_full_moon","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#ecclesiastical_full_moon/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#ecclesiastical_full_moon/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#gauss_exception","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"счёт подпадает под исключение Гаусса (ст. 10 либо 11)"}],"name":"gauss_exception","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#gauss_exception/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#golden_number_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"первый остаток: год по модулю девятнадцать, место года в лунном цикле"}],"name":"golden_number_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#golden_number_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#golden_number_residue/arg/a","labels":[],"name":"a","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#gregorian_paschalion_applicable","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"к счёту применима григорианская пасхалия"}],"name":"gregorian_paschalion_applicable","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#gregorian_paschalion_applicable/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#leap_cycle_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"второй остаток: год по модулю четыре, место года в цикле високоса"}],"name":"leap_cycle_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#leap_cycle_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#leap_cycle_residue/arg/b","labels":[],"name":"b","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#lunar_correction","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"лунная поправка: на сколько дней после 21 марта приходится церковное полнолуние"}],"name":"lunar_correction","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#lunar_correction/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#lunar_correction/arg/d","labels":[],"name":"d","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#lunar_shift","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"вековая лунная постоянная счёта"}],"name":"lunar_shift","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#lunar_shift/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#lunar_shift/arg/m","labels":[],"name":"m","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#reckoning_paschalion","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"пасхалия, по которой ведётся счёт"}],"name":"reckoning_paschalion","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#reckoning_paschalion/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#reckoning_paschalion/arg/p","labels":[],"name":"p","type":{"name":"urn:vat:clir:computus#Paschalion"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#reckoning_year","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"год, для которого ведётся счёт"}],"name":"reckoning_year","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#reckoning_year/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#reckoning_year/arg/year","labels":[],"name":"year","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_correction","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"воскресная поправка: сколько дней отделяют церковное полнолуние от следующего воскресенья"}],"name":"weekday_correction","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_correction/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_correction/arg/e","labels":[],"name":"e","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_cycle_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"третий остаток: год по модулю семь, сдвиг дней недели"}],"name":"weekday_cycle_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_cycle_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_cycle_residue/arg/c","labels":[],"name":"c","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_shift","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"вековая воскресная постоянная счёта"}],"name":"weekday_shift","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_shift/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_shift/arg/n","labels":[],"name":"n","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"}],"tables":[]},"provenance":{"acts":[{"contributed":true,"fragmentCount":22,"fragments":["urn:vat:clir:computus#COMPUTUS_ART10","urn:vat:clir:computus#COMPUTUS_ART12","urn:vat:clir:computus#COMPUTUS_ART13","urn:vat:clir:computus#COMPUTUS_ART14","urn:vat:clir:computus#COMPUTUS_ART2","urn:vat:clir:computus#COMPUTUS_ART3","urn:vat:clir:computus#COMPUTUS_ART4","urn:vat:clir:computus#COMPUTUS_ART5","urn:vat:clir:computus#COMPUTUS_ART6","urn:vat:clir:computus#COMPUTUS_ART7","urn:vat:clir:computus#IG_S10","urn:vat:clir:computus#IG_S14","urn:vat:clir:computus#IG_S6","urn:vat:clir:computus#IG_S7"],"jurisdiction":"HolySee","namespace":"urn:vat:clir:computus","package":"vat-computus","title":"Пасхалия: юлианское и григорианское вычисление дня Пасхи (Inter gravissimas и форма Гаусса) — юрисдикция HolySee, НЕ Республика Казахстан — EXECUTABLE 5 §33.1"}],"caseHash":"sha256:b2d3a3513b5273483a3fc0d4a3ef77da99e26297480686756ae1444de1f5eaa6","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"Святой Престол","legalTime":"2026-08-31","mode":"audit","programHash":"sha256:d52416ad0e12fd22061ce34630f483822df76b188243c6120d962438d32a425d","resultHash":"sha256:02650517296f1f6cbe2004e69926944e8b5242524e6ff5fb79143b57d71223e4","rustCodeHash":"sha256:d368cafc7162ed7a6563df5e5c943a57be26fa8aeb3179b530fe3bdd67fe9be4","timezone":"Asia/Qyzylorda"},"request":{"args":["Пасха-1981","April",19],"facts":[{"args":["Пасха-1981",1981],"predicate":"reckoning_year"},{"args":["Пасха-1981","Gregorian"],"predicate":"reckoning_paschalion"},{"args":["Пасха-1981",24],"predicate":"lunar_shift"},{"args":["Пасха-1981",5],"predicate":"weekday_shift"}],"kind":"truth","legalTime":"2026-08-31","package":"vat-computus","predicate":"easter_calendar_date","proof":true},"sources":[{"contentHash":"sha256:5480502383665fa029b6401172802040d715583e22dbc7e46c5519043a3c1221","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART10","kind":"fragment","locator":"article/10","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:f9912e80cb50bb0a4cea9a233f970e23ad85875e544b7f5945697701e952b71d","language":"ru-KZ","status":"official","text":"Если лунная поправка равна двадцати девяти и воскресная поправка равна шести, днём Пасхи признаётся девятнадцатое апреля, то есть пятидесятое марта.\n\nПравило настоящей статьи отступает от статьи 7: без него счёт дал бы двадцать шестое апреля, то есть пятьдесят седьмое марта, — день за пределом статьи 12.\n\nСвидетель настоящей статьи — 1981 год: Пасха этого года по григорианской пасхалии приходится на девятнадцатое апреля, тогда как статья 7 без настоящего исключения дала бы двадцать шестое."}]},{"contentHash":"sha256:1e5b3608a0ad88dd8a93fa1592c1b63f07edd55055b6081faacdabbd9e659d80","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART12","kind":"fragment","locator":"article/12","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:754fc50e23375e1d4083328131363082bd4c9e262e104f90803e42ab426e021e","language":"ru-KZ","status":"official","text":"День Пасхи не может быть ранее двадцать второго марта и не может быть позднее двадцать пятого апреля, то есть пятьдесят шестого марта. Предел исчисляется по той пасхалии, по которой ведётся счёт, и в её собственном календаре.\n\nСвидетели пределов: 1818 год, Пасха которого по григорианской пасхалии приходится на двадцать второе марта — самый ранний возможный день; и 1943 год, Пасха которого приходится на двадцать пятое апреля — самый поздний возможный день.\n\nНарушение предела означает ошибку счёта, а не редкий год. Счёт, вышедший за предел, настоящим изложением объявляется НЕДОПУСТИМЫМ, и день, полученный таким счётом, днём Пасхи не является."}]},{"contentHash":"sha256:632408f4cbe22978fda7605e538744e6988ea93d7c4dedcdcf1bd61c9895b50d","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART13","kind":"fragment","locator":"article/13","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:2ff4c3c5b35e1500f1f4cc1cbfdca171410dca46d4fdd0113af539a1d3b20838","language":"ru-KZ","status":"official","text":"День, выраженный числом дней марта, переводится в месяц и число так:\n\nесли число не превышает тридцати одного — месяцем признаётся март, а числом месяца само это число;\nесли число более тридцати одного и не превышает шестидесяти одного — месяцем признаётся апрель, а числом месяца это число, уменьшенное на тридцать один;\nесли число более шестидесяти одного и не превышает девяноста двух — месяцем признаётся май, а числом месяца это число, уменьшенное на шестьдесят один.\n\nМай возникает не у самой Пасхи, а у юлианской Пасхи, приведённой к григорианской оси по статье 14."}]},{"contentHash":"sha256:afeeab185927c28df6b0eda328cf603204dd258ced6bbc8f85520c9d7a2e3a46","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART14","kind":"fragment","locator":"article/14","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:2abf317206cf3d378363cd0b9cbd56873c5a79adbda5d8ad2e7d3c3f632a2b46","language":"ru-KZ","status":"official","text":"Два счёта одного года по разным пасхалиям сопоставимы только на одной оси. Днём юлианской Пасхи на григорианской оси признаётся день юлианской Пасхи, увеличенный на смещение осей.\n\nСмещение осей зависит от года и принимает следующие значения: для годов с 1583 по 1699 — десять дней; с 1700 по 1799 — одиннадцать; с 1800 по 1899 — двенадцать; с 1900 по 2099 — тринадцать; с 2100 по 2199 — четырнадцать.\n\nГраницы рядов смещения совпадают с границами рядов статьи 8, и совпадение это не случайно: оба ряда следуют из одного правила пункта 9 буллы о вековом високосе.\n\nДва счёта одного года, ведённые по разным пасхалиям, СОВПАДАЮТ, если день григорианской Пасхи и день юлианской Пасхи на григорианской оси равны, и РАСХОДЯТСЯ, если они не равны. Совпадение и расхождение выводятся из счёта; ни то, ни другое не устанавливается настоящим изложением заранее и ни к одной из пасхалий не относится как её свойство.\n\nСвидетель совпадения — 2025 год: обе пасхалии дают двадцатое апреля. Свидетель расхождения — 2026 год: григорианская пасхалия даёт пятое апреля, юлианская — тридцатое марта своего календаря, то есть двенадцатое апреля на григорианской оси."}]},{"contentHash":"sha256:83a5bcd53e698c9eac537b81b8bcf2de7b25b761104b0f0c94409c5dfe73d259","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART2","kind":"fragment","locator":"article/2","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:47fc5a2aaed103baaa3979acaf40410a0c102714fd7710e6cfdea224fafa0db4","language":"ru-KZ","status":"official","text":"Пасхалий две: юлианская и григорианская.\n\nЮлианская пасхалия старше буллы. Булла её не учреждала и не отменяла: пункт 14 буллы отменяет старый календарь для тех, кто булле подчинён, а не для всего христианского мира. Юлианская пасхалия действует по сей день в православной традиции.\n\nГригорианская пасхалия введена буллой и применяется к годам начиная с 1583-го — первого года, пасха которого считается по исправленному календарю.\n\nНи одна из двух пасхалий не имеет преимущества перед другой. Настоящее изложение не разрешает спора о том, какая из них правильна, и правила такого разрешения не содержит. Какая пасхалия применяется к счёту — обстоятельство счёта, а не вывод из настоящего изложения."}]},{"contentHash":"sha256:23775b3cec4895a745320e5d63de4998e6ed8fc40ec8f6499bf5cb8b5c58a4b6","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART3","kind":"fragment","locator":"article/3","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:4b383af27c4d86275a70d85820b70285beb0bdd6b014dde00150aeaf613d57ca","language":"ru-KZ","status":"official","text":"Пасха приходится на первое воскресенье после первого полнолуния, которое наступает в день весеннего равноденствия или после него. Днём весеннего равноденствия для целей счёта признаётся двадцать первое марта. Пункт 6 буллы называет те же три вещи: место весеннего равноденствия; положение четырнадцатой луны первого месяца, падающей на день равноденствия или ближайшей после него; первое воскресенье после этой четырнадцатой луны. Пункт 7 буллы возвращает равноденствие на двенадцатые календы апреля, то есть на двадцать первое марта.\n\nПолнолуние настоящего изложения есть ЦЕРКОВНАЯ ЛУНА — четырнадцатый день лунного месяца, вычисленный по циклу. Церковная луна не есть астрономическое полнолуние и не приближает его: она определяется циклом и только циклом. Пункт 10 буллы устанавливает для этого цикл эпакт вместо золотого числа и говорит о нём, что он, «приведённый к твёрдой мере золотого числа, делает так, что новолуние и пасхальная четырнадцатая луна всегда сохраняют свои истинные места». Расхождение церковной луны с наблюдаемым небом ошибкой счёта не является и настоящим изложением не устраняется.\n\nРавным образом днём равноденствия признаётся двадцать первое марта независимо от того, на какой день приходится равноденствие астрономическое."}]},{"contentHash":"sha256:0958c74a4cf6e0891eefbb4bfa964ef938f4d66d314a150d9018af3bb56f7640","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART4","kind":"fragment","locator":"article/4","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:075ee05194c61c63cba767aeaae0791731fa8b873ba2f27b71674fdf6783b8e9","language":"ru-KZ","status":"official","text":"Счёт начинается с трёх остатков от деления года.\n\nПервый остаток есть остаток от деления года на девятнадцать. Он выражает место года в девятнадцатилетнем лунном цикле.\n\nВторой остаток есть остаток от деления года на четыре. Он выражает место года в четырёхлетнем цикле високоса.\n\nТретий остаток есть остаток от деления года на семь. Он выражает сдвиг дней недели от года к году.\n\nОстаток берётся неотрицательным: он есть число от нуля до делителя без единицы."}]},{"contentHash":"sha256:e41bc485a5cb52ddce285328a7ed01b13b471642caf485aa00bc820fd321db23","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART5","kind":"fragment","locator":"article/5","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:9a8a856f1951c250f9862b03d677cf8a7c1dec7d89ee8d1106a31b44d115b6d4","language":"ru-KZ","status":"official","text":"Лунная поправка есть остаток от деления на тридцать суммы двух слагаемых: первого остатка, умноженного на девятнадцать, и вековой лунной постоянной.\n\nЛунная поправка есть число от нуля до двадцати девяти. Она указывает, на сколько дней после двадцать первого марта приходится церковное полнолуние первого месяца."}]},{"contentHash":"sha256:40b54cfc0401894b1a934b38d00575c5e0848a57f5151c4cfa3a0cd7c365702a","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART6","kind":"fragment","locator":"article/6","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:d566eb346bd5a363baf83261504720fff585f91212977c0ed01f6326205a35ee","language":"ru-KZ","status":"official","text":"Воскресная поправка есть остаток от деления на семь суммы четырёх слагаемых: второго остатка, умноженного на два; третьего остатка, умноженного на четыре; лунной поправки, умноженной на шесть; и вековой воскресной постоянной.\n\nВоскресная поправка есть число от нуля до шести. Она указывает, сколько дней отделяют церковное полнолуние от следующего за ним воскресенья. Воскресность дня Пасхи обеспечивается этой поправкой, и отдельной проверки дня недели счёт не требует."}]},{"contentHash":"sha256:47cedbf2a8b354ad2eda4f4790f758c2278e803d155f610ad45ac64a9ce6e1d8","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART7","kind":"fragment","locator":"article/7","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:3c18e88901141a5572d897f4ba11610ea419986ca0a4197a6883c18e0ac21e92","language":"ru-KZ","status":"official","text":"День Пасхи есть двадцать второе марта, увеличенное на лунную поправку и на воскресную поправку.\n\nДень Пасхи выражается ЧИСЛОМ ДНЕЙ МАРТА: первое апреля есть тридцать второе марта, девятнадцатое апреля есть пятидесятое марта, двадцать пятое апреля есть пятьдесят шестое марта. Такое выражение употреблено затем, чтобы счёт оставался целочисленным и не требовал календаря.\n\nПравило настоящей статьи применяется, если счёт не подпадает под статью 10 или статью 11."}]},{"contentHash":"sha256:af6e0d18fb388190264976067672f313fedd625fbe0279d219a3318e691bdaa6","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S10","kind":"fragment","locator":"section/10","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:2eccbf6e6ae51ded85390d0501b5b33c76cc9b96e2a7edc5ce821fb3cacd34a7","language":"la","status":"official","text":"10. Quo item XIV paschalis recte inveniatur, itemque dies lunae, iuxta antiquum Ecclesiae morem ex Martyrologio singulis diebus ediscendi, fideli populo vere proponantur, statuimus ut, amoto aureo numero de kalendario, in eius locum substituatur cyclus epactarum; qui ad certam (uti diximus) aurei numeri normam directus, efficit ut novilunium et XIV paschalis vera loca semper retineant. Idque manifeste apparet ex nostri explicatione kalendarii, in quo descriptae sunt etiam tabulae paschales secundum priscum Ecclesiae ritum, quo certius et facilius sacrosanctum Pascha inveniri possit."}]},{"contentHash":"sha256:30bef417eb2b1ffb67e1fcfcef52901cc0adc3aa79537e73829d6069bd2fab9b","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S14","kind":"fragment","locator":"section/14","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:cbf9d876f853dc88b589c2e9db0eb8c7924dc46115624a5178bf9f93e9cde733","language":"la","status":"official","text":"14. Tollimus autem et abolemus omnino vetus kalendarium, volumusque ut omnes patriarchae, primates, archiepiscopi, episcopi, abbates et ceteri ecclesiarum praesides novum kalendarium (ad quod etiam accomodata est ratio martyrologii), pro divinis officiis recitandis et festis celebrandis, in suas quisque ecclesias, monasteria, conventus, ordines, militias et dioeceses introducant, et eo solo utantur, tam ipsi quam ceteri omnes presbyteri et clerici saeculares et regulares utriusque sexus, necnon milites et omnes christifideles, cuius usus incipiet post decem illos dies ex mense octobri anni MDLXXXII exemptos. Iis vero, qui adeo longinquas incolunt regiones, ut ante praescriptum a nobis tempus harum litterarum notitiam habere non possint, liceat, eodem tamen octobri mense insequentis anni MDLXXXIII vel alterius, cum primum scilicet ad eos hae nostrae litterae pervenerint, modo a nobis paulo ante tradito, eiusmodi mutationem facere, ut copiosius in nostro kalendario anni correctionis explicabitur."}]},{"contentHash":"sha256:2f023c42666b3d0d94ab5cf4a12a04ed4db68d446d902d68d8126d853e50cdcd","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S6","kind":"fragment","locator":"section/6","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:a786cab981920d5495271d28b619884c5c68ebc6324a4d5cc944a5f6b6490359","language":"la","status":"official","text":"6. Considerantes igitur nos, ad rectam paschalis festi celebrationem iuxta sanctorum Patrum ac veterum Romanorum Pontificum, praesertim Pii et Victoris primorum, necnon magni illius oecumenici concilii Nicaeni et aliorum sanctiones, tria necessaria coniungenda et statuenda esse; primum, certam verni aequinoctii sedem; deinde rectam positionem XIV lunae primi mensis, quae vel in ipsum aequinoctii diem incidit, vel ei proxime succedit; postremo primum quemque diem dominicum, qui eamdem XIV lunam sequitur; curavimus non solum aequinoctium vernum in pristinam sedem, a qua iam a concilio Nicaeno decem circiter diebus recessit, restituendum, et XIV paschalem suo in loco, a quo quatuor et eo amplius dies hoc tempore distat, reponendam, sed viam quoque tradendam et rationem, qua cavetur, ut in posterum aequinoctium et XIV luna a propriis sedibus nunquam dimoveantur."}]},{"contentHash":"sha256:27400b859b5efd5caf9738f82f01e61d25f8ab5d48fb52943773380df4cb15ca","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S7","kind":"fragment","locator":"section/7","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:6ccaaa2e4953ae9fa1ff203a620780fc0c047a8af3326728e888f758a76d3f5c","language":"la","status":"official","text":"7. Quo igitur vernum aequinoctium, quod a patribus concilii Nicaeni ad XII kalendas aprilis fuit constitutum, ad eamdem sedem restituatur, praecipimus et mandamus ut de mense octobris anni MDLXXXII decem dies inclusive a tertia nonarum usque ad pridie idus eximantur, et dies, qui festum S. Francisci IV nonas celebrari solitum sequitur, dicatur idus octobris, atque in eo celebretur festum Ss. Dionysii, Rustici et Eleutherii martyrum, cum commemoratione S. Marci Papae et confessoris, et Ss. Sergii, Bacchi, Marcelli et Apulei martyrum; septimodecimo vero kalendas novembris, qui dies proxime sequitur, celebretur festum S. Callisti Papae et martyris; deinde XVI kalendas novembris fiat officium et missa de dominica XVIII post Pentecostem, mutata littera dominicali G in C; quintodecimo denique kalendas novembris dies festus agatur S. Lucae evangelistae, a quo reliqui deinceps agantur festi dies, prout sunt in kalendario descripti."}]}],"text":"easter_calendar_date: **TRUE_ONLY** — установлено\nВыведено правом: golden_number_residue(Пасха-1981, 5); leap_cycle_residue(Пасха-1981, 1); weekday_cycle_residue(Пасха-1981, 0); gregorian_paschalion_applicable(Пасха-1981); lunar_correction(Пасха-1981, 29); ecclesiastical_full_moon(Пасха-1981, 50); weekday_correction(Пасха-1981, 6); easter_march_day(Пасха-1981, 57); easter_march_day(Пасха-1981, 50); easter_within_window(Пасха-1981); easter_calendar_date(Пасха-1981, April, 19); gauss_exception(Пасха-1981); easter_on_gregorian_axis(Пасха-1981, 50); easter_axis_date(Пасха-1981, April, 19)\nПрименены правила: AxisDateInApril, EasterDateInApril, EasterDay, EasterDay/unless/0, EasterOnNineteenthApril, EasterWithinWindow, EcclesiasticalFullMoon, GaussExceptionOfNineteenthApril, GoldenNumberResidue, GregorianPaschalionApplicable, GregorianReckoningIsOnItsOwnAxis, LeapCycleResidue, LunarCorrection, WeekdayCorrection, WeekdayCycleResidue\nПраво (Святой Престол): Пасхалия: юлианское и григорианское вычисление дня Пасхи (Inter gravissimas и форма Гаусса) — EXECUTABLE 5 §33.1 (programHash sha256:d52416ad0e12…)\nproof-граф: 25 узлов — поле evaluation готово для law_explain"},{"answer":{"answer":{"evaluationStatus":"COMPUTED","kind":"TRUTH","meaning":"НЕ УСТАНОВЛЕНО: в формализованном праве нет ни подтверждения, ни опровержения (открытый мир §69) — это не «нет»","missingInputs":[],"truthStatus":"NEITHER"},"closedEditionRules":[],"derived":["golden_number_residue(Пасха-1981, 5)","leap_cycle_residue(Пасха-1981, 1)","weekday_cycle_residue(Пасха-1981, 0)","gregorian_paschalion_applicable(Пасха-1981)","lunar_correction(Пасха-1981, 29)","ecclesiastical_full_moon(Пасха-1981, 50)","weekday_correction(Пасха-1981, 6)","easter_march_day(Пасха-1981, 57)","easter_march_day(Пасха-1981, 50)","easter_within_window(Пасха-1981)","easter_calendar_date(Пасха-1981, April, 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v2)"}],"rule":"EasterDay/unless/0","ruleId":"urn:vat:clir:computus#EasterDay/unless/0"}]},"schemaVersion":"law.answers.presentation/0.1","source":{"requestCanonicalSha256":"sha256:ea6da9ba4eec70424dddd7ffb6c7f65b79d56cc8bd28fd8e0a365780c73cf26a"},"steps":[{"conclusion":{"literal":{"args":[{"id":"urn:mcp:entity:Пасха-1981","kind":"entity_ref"},{"kind":"value","type":{"name":"urn:law:std#Integer"},"value":57}],"kind":"literal","polarity":"positive","predicate":"urn:vat:clir:computus#easter_march_day"},"truthStatus":"NEITHER"},"id":"urn:proof:query:mcp","kind":"query_evaluation","originStatus":"available","premises":[],"trust":"engine"}],"symbols":[{"id":"urn:vat:clir:computus#AxisDateInApril","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"День на общей оси свыше 31 и не свыше 61 есть день апреля (ст. 13)"}],"package":"urn:vat:clir:computus","strength":"defeasible"},{"id":"urn:vat:clir:computus#EasterDateInApril","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"День Пасхи свыше 31 в счёте дней марта есть день апреля: число уменьшается на 31 (ст. 13)"}],"package":"urn:vat:clir:computus","strength":"defeasible"},{"id":"urn:vat:clir:computus#EasterDay","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"День Пасхи есть день после церковного полнолуния, увеличенный на воскресную поправку, если счёт не подпадает под исключение (ст. 7)"}],"package":"urn:vat:clir:computus","strength":"defeasible"},{"id":"urn:vat:clir:computus#EasterDay/unless/0","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"День Пасхи есть день после церковного полнолуния, увеличенный на воскресную поправку, если счёт не подпадает под исключение (ст. 7)"}],"package":"urn:vat:clir:computus","strength":"defeater"},{"id":"urn:vat:clir:computus#EasterOnNineteenthApril","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"При лунной поправке 29 и воскресной 6 днём Пасхи признаётся 19 апреля, то есть 50 марта (ст. 10)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#EasterWithinWindow","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"День Пасхи не ранее 22 марта и не позднее 25 апреля (ст. 12)"}],"package":"urn:vat:clir:computus","strength":"defeasible"},{"id":"urn:vat:clir:computus#EcclesiasticalFullMoon","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Церковное полнолуние первого месяца есть 21 марта, увеличенное на лунную поправку (ст. 3, 5)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#GaussExceptionOfNineteenthApril","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Лунная поправка 29 и воскресная 6 суть исключение из статьи 7 (ст. 10)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#GoldenNumberResidue","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Первый остаток есть остаток от деления года на девятнадцать (ст. 4)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#GregorianPaschalionApplicable","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Григорианская пасхалия применяется к годам начиная с 1583-го (ст. 2)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#GregorianReckoningIsOnItsOwnAxis","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Григорианский счёт уже ведётся на григорианской оси и смещения не требует (ст. 14)"}],"package":"urn:vat:clir:computus","strength":"defeasible"},{"id":"urn:vat:clir:computus#LeapCycleResidue","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Второй остаток есть остаток от деления года на четыре (ст. 4)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#LunarCorrection","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Лунная поправка есть остаток от деления на тридцать суммы первого остатка, умноженного на девятнадцать, и вековой лунной постоянной (ст. 5)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#Month","kind":"type_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"месяц дня Пасхи: март, апрель либо май (ст. 13)"}],"name":"Month","package":"urn:vat:clir:computus"},{"id":"urn:vat:clir:computus#Paschalion","kind":"type_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"пасхалия: юлианская или григорианская (ст. 2)"}],"name":"Paschalion","package":"urn:vat:clir:computus"},{"id":"urn:vat:clir:computus#Reckoning","kind":"type_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"счёт дня Пасхи: один год по одной пасхалии"}],"name":"Reckoning","package":"urn:vat:clir:computus"},{"id":"urn:vat:clir:computus#WeekdayCorrection","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Воскресная поправка есть остаток от деления на семь суммы второго остатка вдвое, третьего вчетверо, лунной поправки вшестеро и вековой воскресной постоянной (ст. 6)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#WeekdayCycleResidue","kind":"rule","labels":[{"language":"ru-KZ","status":"unofficial","text":"Третий остаток есть остаток от деления года на семь (ст. 4)"}],"package":"urn:vat:clir:computus","strength":"strict"},{"id":"urn:vat:clir:computus#easter_axis_date","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи счёта на григорианской оси месяцем и числом"}],"name":"easter_axis_date","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_axis_date/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_axis_date/arg/month","labels":[],"name":"month","type":{"name":"urn:vat:clir:computus#Month"}},{"id":"urn:vat:clir:computus#easter_axis_date/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_calendar_date","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи месяцем и числом в календаре своей пасхалии"}],"name":"easter_calendar_date","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_calendar_date/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_calendar_date/arg/month","labels":[],"name":"month","type":{"name":"urn:vat:clir:computus#Month"}},{"id":"urn:vat:clir:computus#easter_calendar_date/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_march_day","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи в счёте дней марта (19 апреля есть 50 марта)"}],"name":"easter_march_day","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_march_day/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_march_day/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_on_gregorian_axis","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи счёта, приведённый к григорианской оси, в счёте дней марта"}],"name":"easter_on_gregorian_axis","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_on_gregorian_axis/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#easter_on_gregorian_axis/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#easter_within_window","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"день Пасхи лежит в пределах пасхального окна: от 22 марта до 25 апреля"}],"name":"easter_within_window","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#easter_within_window/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#ecclesiastical_full_moon","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"церковное полнолуние первого месяца в счёте дней марта (ст. 3)"}],"name":"ecclesiastical_full_moon","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#ecclesiastical_full_moon/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#ecclesiastical_full_moon/arg/day","labels":[],"name":"day","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#gauss_exception","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"счёт подпадает под исключение Гаусса (ст. 10 либо 11)"}],"name":"gauss_exception","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#gauss_exception/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#golden_number_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"первый остаток: год по модулю девятнадцать, место года в лунном цикле"}],"name":"golden_number_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#golden_number_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#golden_number_residue/arg/a","labels":[],"name":"a","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#gregorian_paschalion_applicable","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"к счёту применима григорианская пасхалия"}],"name":"gregorian_paschalion_applicable","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#gregorian_paschalion_applicable/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#leap_cycle_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"второй остаток: год по модулю четыре, место года в цикле високоса"}],"name":"leap_cycle_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#leap_cycle_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#leap_cycle_residue/arg/b","labels":[],"name":"b","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#lunar_correction","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"лунная поправка: на сколько дней после 21 марта приходится церковное полнолуние"}],"name":"lunar_correction","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#lunar_correction/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#lunar_correction/arg/d","labels":[],"name":"d","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#lunar_shift","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"вековая лунная постоянная счёта"}],"name":"lunar_shift","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#lunar_shift/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#lunar_shift/arg/m","labels":[],"name":"m","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#reckoning_paschalion","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"пасхалия, по которой ведётся счёт"}],"name":"reckoning_paschalion","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#reckoning_paschalion/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#reckoning_paschalion/arg/p","labels":[],"name":"p","type":{"name":"urn:vat:clir:computus#Paschalion"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#reckoning_year","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"год, для которого ведётся счёт"}],"name":"reckoning_year","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#reckoning_year/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#reckoning_year/arg/year","labels":[],"name":"year","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_correction","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"воскресная поправка: сколько дней отделяют церковное полнолуние от следующего воскресенья"}],"name":"weekday_correction","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_correction/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_correction/arg/e","labels":[],"name":"e","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_cycle_residue","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"третий остаток: год по модулю семь, сдвиг дней недели"}],"name":"weekday_cycle_residue","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_cycle_residue/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_cycle_residue/arg/c","labels":[],"name":"c","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:vat:clir:computus#weekday_shift","kind":"symbol_decl","labels":[{"language":"ru-KZ","status":"unofficial","text":"вековая воскресная постоянная счёта"}],"name":"weekday_shift","package":"urn:vat:clir:computus","parameters":[{"id":"urn:vat:clir:computus#weekday_shift/arg/r","labels":[],"name":"r","type":{"name":"urn:vat:clir:computus#Reckoning"}},{"id":"urn:vat:clir:computus#weekday_shift/arg/n","labels":[],"name":"n","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"}],"tables":[]},"provenance":{"acts":[{"contributed":true,"fragmentCount":22,"fragments":["urn:vat:clir:computus#COMPUTUS_ART10","urn:vat:clir:computus#COMPUTUS_ART12","urn:vat:clir:computus#COMPUTUS_ART13","urn:vat:clir:computus#COMPUTUS_ART14","urn:vat:clir:computus#COMPUTUS_ART2","urn:vat:clir:computus#COMPUTUS_ART3","urn:vat:clir:computus#COMPUTUS_ART4","urn:vat:clir:computus#COMPUTUS_ART5","urn:vat:clir:computus#COMPUTUS_ART6","urn:vat:clir:computus#COMPUTUS_ART7","urn:vat:clir:computus#IG_S10","urn:vat:clir:computus#IG_S14","urn:vat:clir:computus#IG_S6","urn:vat:clir:computus#IG_S7"],"jurisdiction":"HolySee","namespace":"urn:vat:clir:computus","package":"vat-computus","title":"Пасхалия: юлианское и григорианское вычисление дня Пасхи (Inter gravissimas и форма Гаусса) — юрисдикция HolySee, НЕ Республика Казахстан — EXECUTABLE 5 §33.1"}],"caseHash":"sha256:b2d3a3513b5273483a3fc0d4a3ef77da99e26297480686756ae1444de1f5eaa6","codeHash":"sha256:9bcca6a33805c1c364ca1bc8e9d39d6a9c51ba44203c0406bafbf397b96be699","jurisdiction":"Святой Престол","legalTime":"2026-08-31","mode":"audit","programHash":"sha256:d52416ad0e12fd22061ce34630f483822df76b188243c6120d962438d32a425d","resultHash":"sha256:9f3aa0b4e5f5cc482050003752f064f8ec3ac39a0d292878c7ba3b032b2f2720","rustCodeHash":"sha256:d368cafc7162ed7a6563df5e5c943a57be26fa8aeb3179b530fe3bdd67fe9be4","timezone":"Asia/Qyzylorda"},"request":{"args":["Пасха-1981",57],"facts":[{"args":["Пасха-1981",1981],"predicate":"reckoning_year"},{"args":["Пасха-1981","Gregorian"],"predicate":"reckoning_paschalion"},{"args":["Пасха-1981",24],"predicate":"lunar_shift"},{"args":["Пасха-1981",5],"predicate":"weekday_shift"}],"kind":"truth","legalTime":"2026-08-31","package":"vat-computus","predicate":"easter_march_day","proof":true},"sources":[{"contentHash":"sha256:5480502383665fa029b6401172802040d715583e22dbc7e46c5519043a3c1221","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART10","kind":"fragment","locator":"article/10","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:f9912e80cb50bb0a4cea9a233f970e23ad85875e544b7f5945697701e952b71d","language":"ru-KZ","status":"official","text":"Если лунная поправка равна двадцати девяти и воскресная поправка равна шести, днём Пасхи признаётся девятнадцатое апреля, то есть пятидесятое марта.\n\nПравило настоящей статьи отступает от статьи 7: без него счёт дал бы двадцать шестое апреля, то есть пятьдесят седьмое марта, — день за пределом статьи 12.\n\nСвидетель настоящей статьи — 1981 год: Пасха этого года по григорианской пасхалии приходится на девятнадцатое апреля, тогда как статья 7 без настоящего исключения дала бы двадцать шестое."}]},{"contentHash":"sha256:1e5b3608a0ad88dd8a93fa1592c1b63f07edd55055b6081faacdabbd9e659d80","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART12","kind":"fragment","locator":"article/12","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:754fc50e23375e1d4083328131363082bd4c9e262e104f90803e42ab426e021e","language":"ru-KZ","status":"official","text":"День Пасхи не может быть ранее двадцать второго марта и не может быть позднее двадцать пятого апреля, то есть пятьдесят шестого марта. Предел исчисляется по той пасхалии, по которой ведётся счёт, и в её собственном календаре.\n\nСвидетели пределов: 1818 год, Пасха которого по григорианской пасхалии приходится на двадцать второе марта — самый ранний возможный день; и 1943 год, Пасха которого приходится на двадцать пятое апреля — самый поздний возможный день.\n\nНарушение предела означает ошибку счёта, а не редкий год. Счёт, вышедший за предел, настоящим изложением объявляется НЕДОПУСТИМЫМ, и день, полученный таким счётом, днём Пасхи не является."}]},{"contentHash":"sha256:632408f4cbe22978fda7605e538744e6988ea93d7c4dedcdcf1bd61c9895b50d","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART13","kind":"fragment","locator":"article/13","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:2ff4c3c5b35e1500f1f4cc1cbfdca171410dca46d4fdd0113af539a1d3b20838","language":"ru-KZ","status":"official","text":"День, выраженный числом дней марта, переводится в месяц и число так:\n\nесли число не превышает тридцати одного — месяцем признаётся март, а числом месяца само это число;\nесли число более тридцати одного и не превышает шестидесяти одного — месяцем признаётся апрель, а числом месяца это число, уменьшенное на тридцать один;\nесли число более шестидесяти одного и не превышает девяноста двух — месяцем признаётся май, а числом месяца это число, уменьшенное на шестьдесят один.\n\nМай возникает не у самой Пасхи, а у юлианской Пасхи, приведённой к григорианской оси по статье 14."}]},{"contentHash":"sha256:afeeab185927c28df6b0eda328cf603204dd258ced6bbc8f85520c9d7a2e3a46","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART14","kind":"fragment","locator":"article/14","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:2abf317206cf3d378363cd0b9cbd56873c5a79adbda5d8ad2e7d3c3f632a2b46","language":"ru-KZ","status":"official","text":"Два счёта одного года по разным пасхалиям сопоставимы только на одной оси. Днём юлианской Пасхи на григорианской оси признаётся день юлианской Пасхи, увеличенный на смещение осей.\n\nСмещение осей зависит от года и принимает следующие значения: для годов с 1583 по 1699 — десять дней; с 1700 по 1799 — одиннадцать; с 1800 по 1899 — двенадцать; с 1900 по 2099 — тринадцать; с 2100 по 2199 — четырнадцать.\n\nГраницы рядов смещения совпадают с границами рядов статьи 8, и совпадение это не случайно: оба ряда следуют из одного правила пункта 9 буллы о вековом високосе.\n\nДва счёта одного года, ведённые по разным пасхалиям, СОВПАДАЮТ, если день григорианской Пасхи и день юлианской Пасхи на григорианской оси равны, и РАСХОДЯТСЯ, если они не равны. Совпадение и расхождение выводятся из счёта; ни то, ни другое не устанавливается настоящим изложением заранее и ни к одной из пасхалий не относится как её свойство.\n\nСвидетель совпадения — 2025 год: обе пасхалии дают двадцатое апреля. Свидетель расхождения — 2026 год: григорианская пасхалия даёт пятое апреля, юлианская — тридцатое марта своего календаря, то есть двенадцатое апреля на григорианской оси."}]},{"contentHash":"sha256:83a5bcd53e698c9eac537b81b8bcf2de7b25b761104b0f0c94409c5dfe73d259","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART2","kind":"fragment","locator":"article/2","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:47fc5a2aaed103baaa3979acaf40410a0c102714fd7710e6cfdea224fafa0db4","language":"ru-KZ","status":"official","text":"Пасхалий две: юлианская и григорианская.\n\nЮлианская пасхалия старше буллы. Булла её не учреждала и не отменяла: пункт 14 буллы отменяет старый календарь для тех, кто булле подчинён, а не для всего христианского мира. Юлианская пасхалия действует по сей день в православной традиции.\n\nГригорианская пасхалия введена буллой и применяется к годам начиная с 1583-го — первого года, пасха которого считается по исправленному календарю.\n\nНи одна из двух пасхалий не имеет преимущества перед другой. Настоящее изложение не разрешает спора о том, какая из них правильна, и правила такого разрешения не содержит. Какая пасхалия применяется к счёту — обстоятельство счёта, а не вывод из настоящего изложения."}]},{"contentHash":"sha256:23775b3cec4895a745320e5d63de4998e6ed8fc40ec8f6499bf5cb8b5c58a4b6","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART3","kind":"fragment","locator":"article/3","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:4b383af27c4d86275a70d85820b70285beb0bdd6b014dde00150aeaf613d57ca","language":"ru-KZ","status":"official","text":"Пасха приходится на первое воскресенье после первого полнолуния, которое наступает в день весеннего равноденствия или после него. Днём весеннего равноденствия для целей счёта признаётся двадцать первое марта. Пункт 6 буллы называет те же три вещи: место весеннего равноденствия; положение четырнадцатой луны первого месяца, падающей на день равноденствия или ближайшей после него; первое воскресенье после этой четырнадцатой луны. Пункт 7 буллы возвращает равноденствие на двенадцатые календы апреля, то есть на двадцать первое марта.\n\nПолнолуние настоящего изложения есть ЦЕРКОВНАЯ ЛУНА — четырнадцатый день лунного месяца, вычисленный по циклу. Церковная луна не есть астрономическое полнолуние и не приближает его: она определяется циклом и только циклом. Пункт 10 буллы устанавливает для этого цикл эпакт вместо золотого числа и говорит о нём, что он, «приведённый к твёрдой мере золотого числа, делает так, что новолуние и пасхальная четырнадцатая луна всегда сохраняют свои истинные места». Расхождение церковной луны с наблюдаемым небом ошибкой счёта не является и настоящим изложением не устраняется.\n\nРавным образом днём равноденствия признаётся двадцать первое марта независимо от того, на какой день приходится равноденствие астрономическое."}]},{"contentHash":"sha256:0958c74a4cf6e0891eefbb4bfa964ef938f4d66d314a150d9018af3bb56f7640","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART4","kind":"fragment","locator":"article/4","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:075ee05194c61c63cba767aeaae0791731fa8b873ba2f27b71674fdf6783b8e9","language":"ru-KZ","status":"official","text":"Счёт начинается с трёх остатков от деления года.\n\nПервый остаток есть остаток от деления года на девятнадцать. Он выражает место года в девятнадцатилетнем лунном цикле.\n\nВторой остаток есть остаток от деления года на четыре. Он выражает место года в четырёхлетнем цикле високоса.\n\nТретий остаток есть остаток от деления года на семь. Он выражает сдвиг дней недели от года к году.\n\nОстаток берётся неотрицательным: он есть число от нуля до делителя без единицы."}]},{"contentHash":"sha256:e41bc485a5cb52ddce285328a7ed01b13b471642caf485aa00bc820fd321db23","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART5","kind":"fragment","locator":"article/5","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:9a8a856f1951c250f9862b03d677cf8a7c1dec7d89ee8d1106a31b44d115b6d4","language":"ru-KZ","status":"official","text":"Лунная поправка есть остаток от деления на тридцать суммы двух слагаемых: первого остатка, умноженного на девятнадцать, и вековой лунной постоянной.\n\nЛунная поправка есть число от нуля до двадцати девяти. Она указывает, на сколько дней после двадцать первого марта приходится церковное полнолуние первого месяца."}]},{"contentHash":"sha256:40b54cfc0401894b1a934b38d00575c5e0848a57f5151c4cfa3a0cd7c365702a","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART6","kind":"fragment","locator":"article/6","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:d566eb346bd5a363baf83261504720fff585f91212977c0ed01f6326205a35ee","language":"ru-KZ","status":"official","text":"Воскресная поправка есть остаток от деления на семь суммы четырёх слагаемых: второго остатка, умноженного на два; третьего остатка, умноженного на четыре; лунной поправки, умноженной на шесть; и вековой воскресной постоянной.\n\nВоскресная поправка есть число от нуля до шести. Она указывает, сколько дней отделяют церковное полнолуние от следующего за ним воскресенья. Воскресность дня Пасхи обеспечивается этой поправкой, и отдельной проверки дня недели счёт не требует."}]},{"contentHash":"sha256:47cedbf2a8b354ad2eda4f4790f758c2278e803d155f610ad45ac64a9ce6e1d8","edition":"urn:vat:clir:computus#COMPUTUS_RU","fragmentKind":"article","id":"urn:vat:clir:computus#COMPUTUS_ART7","kind":"fragment","locator":"article/7","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:3c18e88901141a5572d897f4ba11610ea419986ca0a4197a6883c18e0ac21e92","language":"ru-KZ","status":"official","text":"День Пасхи есть двадцать второе марта, увеличенное на лунную поправку и на воскресную поправку.\n\nДень Пасхи выражается ЧИСЛОМ ДНЕЙ МАРТА: первое апреля есть тридцать второе марта, девятнадцатое апреля есть пятидесятое марта, двадцать пятое апреля есть пятьдесят шестое марта. Такое выражение употреблено затем, чтобы счёт оставался целочисленным и не требовал календаря.\n\nПравило настоящей статьи применяется, если счёт не подпадает под статью 10 или статью 11."}]},{"contentHash":"sha256:af6e0d18fb388190264976067672f313fedd625fbe0279d219a3318e691bdaa6","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S10","kind":"fragment","locator":"section/10","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:2eccbf6e6ae51ded85390d0501b5b33c76cc9b96e2a7edc5ce821fb3cacd34a7","language":"la","status":"official","text":"10. Quo item XIV paschalis recte inveniatur, itemque dies lunae, iuxta antiquum Ecclesiae morem ex Martyrologio singulis diebus ediscendi, fideli populo vere proponantur, statuimus ut, amoto aureo numero de kalendario, in eius locum substituatur cyclus epactarum; qui ad certam (uti diximus) aurei numeri normam directus, efficit ut novilunium et XIV paschalis vera loca semper retineant. Idque manifeste apparet ex nostri explicatione kalendarii, in quo descriptae sunt etiam tabulae paschales secundum priscum Ecclesiae ritum, quo certius et facilius sacrosanctum Pascha inveniri possit."}]},{"contentHash":"sha256:30bef417eb2b1ffb67e1fcfcef52901cc0adc3aa79537e73829d6069bd2fab9b","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S14","kind":"fragment","locator":"section/14","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:cbf9d876f853dc88b589c2e9db0eb8c7924dc46115624a5178bf9f93e9cde733","language":"la","status":"official","text":"14. Tollimus autem et abolemus omnino vetus kalendarium, volumusque ut omnes patriarchae, primates, archiepiscopi, episcopi, abbates et ceteri ecclesiarum praesides novum kalendarium (ad quod etiam accomodata est ratio martyrologii), pro divinis officiis recitandis et festis celebrandis, in suas quisque ecclesias, monasteria, conventus, ordines, militias et dioeceses introducant, et eo solo utantur, tam ipsi quam ceteri omnes presbyteri et clerici saeculares et regulares utriusque sexus, necnon milites et omnes christifideles, cuius usus incipiet post decem illos dies ex mense octobri anni MDLXXXII exemptos. Iis vero, qui adeo longinquas incolunt regiones, ut ante praescriptum a nobis tempus harum litterarum notitiam habere non possint, liceat, eodem tamen octobri mense insequentis anni MDLXXXIII vel alterius, cum primum scilicet ad eos hae nostrae litterae pervenerint, modo a nobis paulo ante tradito, eiusmodi mutationem facere, ut copiosius in nostro kalendario anni correctionis explicabitur."}]},{"contentHash":"sha256:2f023c42666b3d0d94ab5cf4a12a04ed4db68d446d902d68d8126d853e50cdcd","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S6","kind":"fragment","locator":"section/6","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:a786cab981920d5495271d28b619884c5c68ebc6324a4d5cc944a5f6b6490359","language":"la","status":"official","text":"6. Considerantes igitur nos, ad rectam paschalis festi celebrationem iuxta sanctorum Patrum ac veterum Romanorum Pontificum, praesertim Pii et Victoris primorum, necnon magni illius oecumenici concilii Nicaeni et aliorum sanctiones, tria necessaria coniungenda et statuenda esse; primum, certam verni aequinoctii sedem; deinde rectam positionem XIV lunae primi mensis, quae vel in ipsum aequinoctii diem incidit, vel ei proxime succedit; postremo primum quemque diem dominicum, qui eamdem XIV lunam sequitur; curavimus non solum aequinoctium vernum in pristinam sedem, a qua iam a concilio Nicaeno decem circiter diebus recessit, restituendum, et XIV paschalem suo in loco, a quo quatuor et eo amplius dies hoc tempore distat, reponendam, sed viam quoque tradendam et rationem, qua cavetur, ut in posterum aequinoctium et XIV luna a propriis sedibus nunquam dimoveantur."}]},{"contentHash":"sha256:27400b859b5efd5caf9738f82f01e61d25f8ab5d48fb52943773380df4cb15ca","edition":"urn:vat:clir:computus#IG_LA","fragmentKind":"section","id":"urn:vat:clir:computus#IG_S7","kind":"fragment","locator":"section/7","package":"urn:vat:clir:computus","texts":[{"contentHash":"sha256:6ccaaa2e4953ae9fa1ff203a620780fc0c047a8af3326728e888f758a76d3f5c","language":"la","status":"official","text":"7. Quo igitur vernum aequinoctium, quod a patribus concilii Nicaeni ad XII kalendas aprilis fuit constitutum, ad eamdem sedem restituatur, praecipimus et mandamus ut de mense octobris anni MDLXXXII decem dies inclusive a tertia nonarum usque ad pridie idus eximantur, et dies, qui festum S. Francisci IV nonas celebrari solitum sequitur, dicatur idus octobris, atque in eo celebretur festum Ss. Dionysii, Rustici et Eleutherii martyrum, cum commemoratione S. Marci Papae et confessoris, et Ss. Sergii, Bacchi, Marcelli et Apulei martyrum; septimodecimo vero kalendas novembris, qui dies proxime sequitur, celebretur festum S. Callisti Papae et martyris; deinde XVI kalendas novembris fiat officium et missa de dominica XVIII post Pentecostem, mutata littera dominicali G in C; quintodecimo denique kalendas novembris dies festus agatur S. Lucae evangelistae, a quo reliqui deinceps agantur festi dies, prout sunt in kalendario descripti."}]}],"text":"easter_march_day: **NEITHER** — НЕ УСТАНОВЛЕНО: в формализованном праве нет ни подтверждения, ни опровержения (открытый мир §69) — это не «нет»\nВыведено правом: golden_number_residue(Пасха-1981, 5); leap_cycle_residue(Пасха-1981, 1); weekday_cycle_residue(Пасха-1981, 0); gregorian_paschalion_applicable(Пасха-1981); lunar_correction(Пасха-1981, 29); ecclesiastical_full_moon(Пасха-1981, 50); weekday_correction(Пасха-1981, 6); easter_march_day(Пасха-1981, 57); easter_march_day(Пасха-1981, 50); easter_within_window(Пасха-1981); easter_calendar_date(Пасха-1981, April, 19); gauss_exception(Пасха-1981); easter_on_gregorian_axis(Пасха-1981, 50); easter_axis_date(Пасха-1981, April, 19)\nПрименены правила: AxisDateInApril, EasterDateInApril, EasterDay, EasterDay/unless/0, EasterOnNineteenthApril, EasterWithinWindow, EcclesiasticalFullMoon, GaussExceptionOfNineteenthApril, GoldenNumberResidue, GregorianPaschalionApplicable, GregorianReckoningIsOnItsOwnAxis, LeapCycleResidue, LunarCorrection, WeekdayCorrection, WeekdayCycleResidue\nПравило «День Пасхи есть день после церковного полнолуния, увеличенный на воскресную поправку, если счёт не подпадает под исключение (ст. 7)» (значение вычисляется правилом — сверяйте посылки, а не число) вывело бы это при посылках:\n    · ecclesiastical_full_moon(Пасха-1981, v1) — DEPENDS\n    · weekday_correction(Пасха-1981, v2) — DEPENDS\nПравило «День Пасхи есть день после церковного полнолуния, увеличенный на воскресную поправку, если счёт не подпадает под исключение (ст. 7)» (значение вычисляется правилом — сверяйте посылки, а не число) вывело бы это при посылках:\n    ✓ gauss_exception(Пасха-1981) — TRUE_ONLY\n    · ecclesiastical_full_moon(Пасха-1981, v1) — DEPENDS\n    · weekday_correction(Пасха-1981, v2) — DEPENDS\n(? — факт не подан и не выведен; ✗ — установлено обратное)\nПолные правила с посылками: law_rules({\"predicate\": \"easter_march_day\"})\nПраво (Святой Престол): Пасхалия: юлианское и григорианское вычисление дня Пасхи (Inter gravissimas и форма Гаусса) — EXECUTABLE 5 §33.1 (programHash sha256:d52416ad0e12…)\nproof-граф: 25 узлов — поле evaluation готово для law_explain"}],"language":"ru","question":{"origin":"user","text":"Когда Пасха 2025 года по юлианскому и по григорианскому счёту, и почему в 1981 году формула Гаусса даёт 19, а не 26 апреля?"},"schemaVersion":"law.answers.document/0.1"}