Nourani Algebraic Computability and Enumeration Models 9781771882477

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Автор: Nourani
Название: Algebraic Computability and Enumeration Models
ISBN: 9781771882477
Издательство: Taylor&Francis
Классификация:

Теория множеств

Алгебра

Геометрия

ISBN-10: 1771882476
Обложка/Формат: Hardback
Страницы: 310
Вес: 0.57 кг.
Дата издания: 11.03.2016
Язык: English
Размер: 231 x 152 x 23
Читательская аудитория: General (us: trade)
Ключевые слова: Algebra, MATHEMATICS / Algebra / General,MATHEMATICS / Geometry / General,MATHEMATICS / Set Theory
Основная тема: Algebra
Подзаголовок: Recursion Theory and Descriptive Complexity
Рейтинг:
Поставляется из: Европейский союз
Описание:

This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint. The reader is first introduced to categories and functorial models, with Kleene algebra examples for languages. Functorial models for Peano arithmetic are described toward important computational complexity areas on a Hilbert program, leading to computability with initial models. Infinite language categories are also introduced to explain descriptive complexity with recursive computability with admissible sets and urelements.

Algebraic and categorical realizability is staged on several levels, addressing new computability questions with omitting types realizably. Further applications to computing with ultrafilters on sets and Turing degree computability are examined. Functorial models computability is presented with algebraic trees realizing intuitionistic types of models. New homotopy techniques are applied to Marin Lof types of computations with model categories. Functorial computability, induction, and recursion are examined in view of the above, presenting new computability techniques with monad transformations and projective sets.

This informative volume will give readers a complete new feel for models, computability, recursion sets, complexity, and realizability. This book pulls together functorial thoughts, models, computability, sets, recursion, arithmetic hierarchy, filters, with real tree computing areas, presented in a very intuitive manner for university teaching, with exercises for every chapter. The book will also prove valuable for faculty in computer science and mathematics.

Algebraic Computability and Enumeration Models, Nourani