Infinite words automata, semigroups, logic and games / [electronic resource] :

• 作者： Perrin, Dominique.
• 其他作者：
  • Pin, Jean Eric.
• 其他題名：
  • Pure and applied mathematics (Academic Press) ;
• 出版： Amsterdam ;Boston : Elsevier
• 版本：1st ed.
• 叢書名： Pure and applied mathematics series ;141
• 主題： Machine theory , Group theory , Automates math�ematiques, Th�eorie des. , Groupes, Theorie des. , Automatentheorie. , Speltheorie. , Logica. , Groepentheorie. , Topologie. , MATHEMATICS--Group Theory. , Electronic books.
• ISBN： 9780125321112 、 0125321112 、 9780080525648 (electronic bk.) 、 0080525644 (electronic bk.) 、 9786611025182 、 6611025189
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Includes bibliographical references (p. [499]-521). Cover -- Contents -- Preface -- Chapter I. AUTOMATA AND INFINITE WORDS -- 1. Introduction -- 2. Words and trees -- 3. Rational sets of infinite words -- 4. Automata -- 5. B�uchi automata -- 6. Deterministic B�uchi automata -- 7. Muller and Rabin automata -- 8. Transition automata -- 9. McNaughton's theorem -- 10. Computational complexity issues -- 11. Exercises -- 12. Notes -- Chapter II. AUTOMATA AND SEMIGROUPS -- 1. Introduction -- 2. Ramseyan factorizations and linked pairs -- 3. Recognition by morphism -- 4. Semigroups and infinite products -- 5. Wilke Algebras -- 6. Recognition by morphism of?-semigroups -- 7. The two modes of recognition -- 8. Syntactic congruence -- 9. Back to McNaughton's theorem -- 10. Prophetic automata -- 11. Exercises -- 12. Notes -- Chapter III. AUTOMATA AND TOPOLOGY -- 1. Introduction -- 2. Topological spaces -- 3. The space of infinite words -- 4. The space of finite or infinite words -- 5. Borel automata -- 6. Suslin sets -- 7. The separation theorem -- 8. Exercises -- 9. Notes -- Chapter IV. GAMES AND STRATEGIES -- 1. Introduction -- 2. Infinite games -- 3. Borel games -- 4. Games on graphs -- 5. Wadge games -- 6. Exercises -- 7. Notes -- Chapter V. WAGNER HIERARCHY -- 1. Introduction -- 2. Ordinals -- 3. Classes of sets -- 4. Chains -- 5. Superchains -- 6. The Wagner hierarchy -- 7. Exercises -- 8. Notes -- Chapter VI. VARIETIES -- 1. Introduction -- 2. Varieties of finite or infinite words -- 3. Varieties and topology -- 4. Weak recognition -- 5. Extensions of McNaughton's theorem -- 6. Varieties closed under aperiodic extension -- 7. Concatenation hierarchies for infinite words -- 8. Exercises -- 9. Notes -- Chapter VII. LOCAL PROPERTIES -- 1. Introduction -- 2. Weak recognition -- 3. Local properties of infinite words -- 4. Exercises -- 5. Notes -- Chapter VIII. AN EXCURSION INTO LOGIC -- 1. Introduction -- 2. The formalism of logic -- 3. Monadic second-order logic on words -- 4. First-order logic of the linear order -- 5 "Academic Press."
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• 摘要註: Infinite Words is an important theory in both Mathematics and Computer Sciences. Many new developments have been made in the field, encouraged by its application to problems in computer science. Infinite Words is the first manual devoted to this topic. Infinite Words explores all aspects of the theory, including Automata, Semigroups, Topology, Games, Logic, Bi-infinite Words, Infinite Trees and Finite Words. The book also looks at the early pioneering work of Bochi, McNaughton and Sch�atzenberger. Serves as both an introduction to the field and as a reference book. Contains numerous exercises desgined to aid students and readers. Self-contained chapters provide helpful guidance for lectures.
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