Marco T. Moraz?n Programming-Based Formal Languages and Automata Theory 9783031439728

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Автор: Marco T. Moraz?n
Название: Programming-Based Formal Languages and Automata Theory
ISBN: 9783031439728
Издательство: Springer
Классификация:

Языки программирования и описания сценариев: общие сведения

Технология разработки программного обеспечения

Математическая теория вычислений

ISBN-10: 3031439724
Обложка/Формат: Hardback
Страницы: 524
Вес: 0.99 кг.
Дата издания: 19.12.2023
Серия: Texts in computer science
Издание: 1st ed. 2024
Иллюстрации: 38 illustrations, color; 125 illustrations, black and white; xxiii, 524 p. 163 illus., 38 illus. in color.
Размер: 241 x 164 x 116
Подзаголовок: Design, implement, validate, and prove
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This textbook introduces formal languages and automata theory for upper-level undergraduate or beginning graduate students. While it contains the traditional mathematical development usually employed in computational theory courses, it is also quite different from many of them. Machines, grammars, and algorithms developed as part of a constructive proof are intended to be rendered as programs. The book is divided into four parts that build on each other. Part I reviews fundamental concepts. It introduces programming in FSM and reviews program design. In addition, it reviews essential mathematical background on sets, relations, and reasoning about infinite sets. Part II starts the study of formal languages and automata theory in earnest with regular languages. It first introduces regular expressions and shows how they are used to write programs that generate words in a regular language. Given that regular expressions generate words, it is only natural to ask how a machine can recognize words in a regular language. This leads to the study of deterministic and nondeterministic finite-state machines. Part III starts the exploration of languages that are not regular with context-free languages. It begins with context-free grammars and pushdown automata to generate and recognize context-free languages, and it ends with a discussion of deterministic pushdown automata and illustrates why these automatons are fundamentally different from nondeterministic pushdown automata. Part IV eventually explores languages that are not context-free, known as context-sensitive languages. It starts by discussing the most powerful automaton known to mankind: the Turing machine. It then moves to grammars for context-sensitive languages, and their equivalence with Turing machines is explored. The book ends with a brief chapter introducing complexity theory and explores the question of determining if a solution to a problem is practical.
Дополнительное описание: Part I: Fundamental Concepts.- 1. Introduction to FSM.- 2. Essential Background.- 3. Types of Proofs.- Part II: Regular Languages.- 4. Regular Expressions.- 5. Deterministic Finite-State Machines.- 6. Nondeterministic Finite State Machines.- 7. Finite-Sta

Programming-Based Formal Languages and Automata Theory, Marco T. Moraz?n