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Описание

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Герасимов А. С. "Курс математической логики и теории вычислимости"

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Описание

Настоящее учебное пособие предназначено для изучения математической логики и теории алгоритмов. В нём описаны язык логики высказываний и язык логики предикатов первого порядка, семантика этих языков. На основе общего понятия исчисления изложены исчисления гильбертовского типа, секвенциальные исчисления и метод резолюций как способы формального математического доказательства. Рассмотрены основные формальные аксиоматические теории: элементарная арифметика и теория множеств Цермело–Френкеля. Теория алгоритмов представлена теорией вычислимости, в рамках которой дано несколько точных определений понятия алгоритма (машины Тьюринга, нормальные алгоритмы Маркова, лямбда-исчисление, частично рекурсивные функции) и доказана неразрешимость ряда проблем, среди которых проблема остановки машин Тьюринга, проблема равенства для полугрупп, проблемы общезначимости и выводимости для исчисления предикатов. Рассмотрены теоремы Гёделя о неполноте. Изложено исчисление Хоара для формального доказательства корректности программ некоторого императивного языка программирования. В книге имеется более 200 упражнений.
Учебное пособие адресовано в первую очередь студентам, обучающимся по направлениям подготовки укрупнённых групп «Компьютерные и информационные науки», «Информатика и вычислительная техника», но будет полезно и студентам группы направлений «Математика и механика», а также всем желающим начать самостоятельное изучение математической логики.
Читать далее
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Коротко о товаре

Артикул Маркета
3389590637
Издательство
ISBN
978-5-8114-1666-0
Автор
Герасимов А.С.
Год издания
Все характеристики
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Внешний вид товаров и/или упаковки может быть изменён изготовителем и отличаться от изображенных на Яндекс Маркете.
Все товары Лань

Где купить

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1 007 ₽

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    Герасимов А.С. "Курс математической логики и теории вычислимости. Учебное пособие"
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    Цена 256 ₽ вместо 259
  • Теория убийства Мэйн Э.
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    Теория убийства Мэйн Э.

    Цена 528 ₽ вместо 768
  • Васильев Б. Л. "В списках не значился"
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    Васильев Б. Л. "В списках не значился"

    Цена 263 ₽ вместо 266
  • Очерк развития исторической науки
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    Очерк развития исторической науки

    Цена 571 ₽ вместо 583
  • Дюна
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    Дюна

    Цена 375 ₽ вместо 541
  • Римский-Корсаков Н. А. "Снегурочка."
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    Римский-Корсаков Н. А. "Снегурочка."

    Цена 105 ₽ вместо 106
  • Труды иофан. Том 68. Лазерная и акустическая биомедицинская диагностика
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    Труды иофан. Том 68. Лазерная и акустическая биомедицинская диагностика

    Цена 627 ₽ вместо 633
  • Реклама
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  • Гид HBR. Коучинг
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    Гид HBR. Коучинг

    Цена 824 ₽ вместо 1 050
  • Книга: Книга о скудости и богатстве / Посошков Иван Тихонович
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    Книга: Книга о скудости и богатстве / Посошков Иван Тихонович

    Цена 842 ₽ вместо 850
  • Введение в языкознание
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    Введение в языкознание

    Цена 712 ₽ вместо 726
  • Труды иофан. Т. 73. Лазерная диагностика твердых, жидких и газообразных наночастиц в воде
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    Труды иофан. Т. 73. Лазерная диагностика твердых, жидких и газообразных наночастиц в воде

    Цена 668 ₽ вместо 675
  • Логика. Пер. с нем.
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    Логика. Пер. с нем.

    Цена 937 ₽ вместо 957
  • 1984. Скотный двор. Оруэлл Дж. 7641185
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    1984. Скотный двор. Оруэлл Дж. 7641185

    Цена 177 ₽ вместо 179
  • Настольная игра Cosmodrome Games Имаджинариум
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    Настольная игра Cosmodrome Games Имаджинариум

    Цена 952 ₽ вместо 1 861
  • Краткая русская грамматика
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    Краткая русская грамматика

    Цена 712 ₽ вместо 726
  • ЭксклюзивКл. Орландо
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    ЭксклюзивКл. Орландо

    Цена 257 ₽ вместо 260
  • Труды иофан. Том 70. Формирование, обработка и регистрация электромагнитных полей
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    Труды иофан. Том 70. Формирование, обработка и регистрация электромагнитных полей

    Цена 668 ₽ вместо 675
  • Лекции по математике: Теория чисел
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    Лекции по математике: Теория чисел

    Цена 1 065 ₽ вместо 1 087
  • Кому ума не надо. Притчи. Климов Ю.
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    Кому ума не надо. Притчи. Климов Ю.

    Цена 410 ₽ вместо 418
  • Реклама
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  • Вычислительные технологии. Базовый уровень
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    Вычислительные технологии. Базовый уровень

    Цена 1 065 ₽ вместо 1 087
  • Управление качеством Практикум
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    Управление качеством Практикум

    Цена 956 ₽ вместо 966
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