Automata, Logics, and Infinite Games

by Grdel, E.; Thomas, William W.; Wilke, T.

• ISBN13: 9783540003885
• ISBN10: 3540003886
• Format: Paperback
• Copyright: 2003-02-01
• Publisher: Springer-Verlag New York Inc

Summary

A central aim and ever-lasting dream of computer science is to put the development of hardware and software systems on a mathematical basis which is both firm and practical. Such a scientific foundation is needed especially for the construction of reactive programs, like communication protocols or control systems. For the construction and analysis of reactive systems an elegant and powerful theory has been developed based on automata theory, logical systems for the specification of nonterminating behavior, and infinite two-person games. The 19 chapters presented in this multi-author monograph give a consolidated overview of the research results achieved in the theory of automata, logics, and infinite games during the past 10 years. Special emphasis is placed on coherent style, complete coverage of all relevant topics, motivation, examples, justification of constructions, and exercises.

Table of Contents

[omega]-Automata	p. 3
Infinite Games	p. 23
Determinization of Buchi-Automata	p. 43
Complementation of Buchi Automata Using Alternation	p. 61
Determinization and Complementation of Streett Automata	p. 79
Memoryless Determinacy of Parity Games	p. 95
Algorithms for Parity Games	p. 107
Nondeterministic Tree Automata	p. 135
Alternating Tree Automata and Parity Games	p. 153
Model [mu]-Calculus and Alternating Tree Automata	p. 171
Strictness of the Modal [mu]-Calculus Hierarchy	p. 185
Decidability of S1S and S2S	p. 207
The Complexity of Translating Logic to Finite Automata	p. 231
Expressive Power of Monadic Second-Order Logic and Modal [mu]-Calculus	p. 239
Prefix-Recognizable Graphs and Monadic Logic	p. 263
The Monadic Theory of Tree-like Structures	p. 285
Two-Way Tree Automata Solving Pushdown Games	p. 303
Introduction to Guarded Logics	p. 321
Automata for Guarded Fixed Point Logics	p. 343
Some Fixed Point Basics	p. 359
Literature	p. 365
Symbol Index	p. 377
Index	p. 381
Table of Contents provided by Blackwell. All Rights Reserved.