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The close connection between automata and logic has ever been a fascinating subject of theoretical computer science. The origins of that area go back to B¨ uchi and Elgot, who showed at the beginning of the 60’s that formulas frommonadicsecond-orderlogicand?niteautomatahavethesameexpressive power. Since then, a large amount of research has been accomplished to extend those results to other settings such as in?nite words, trees, traces, and grids. The bene?ts of precise characterizations of state-based, operational automata modelsintermsofdescriptive logicalformalismsaretwofold.Ontheonehand, they allow us to derive algorithmic and logical properties of the model. On the other hand, from a software engineer’s perspective, fragments of monadic second-orderlogicmightbeusedtospecify thedesiredsystembehavior,which is then re?ected in an automata implementation. This book studies the relation between automata and monadic seco- order logic. In doing so, it focuses on classes of automata that describe the concurrent behavior of a distributed system. For example, we will bridge the gap between monadic second-order logic and channel systems, which c- municate via reliable or faulty ?fo (“?rst-in, ?rst-out”) queues. Moreover, we will study systems that synchronize when simultaneously accessing a common device. Due to the complexity of those communication paradigms, the formal treatment of related systems in terms of automata models and equivalent logical formalisms plays an important role in their synthesis and veri?cation.
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Subjects
Computer multitasking, Electronic data processing, Distributed processing, Electronic data processing, distributed processing, Machine theory, Computer science, Software engineering, Information theory, Computer software, Information systems, Computation by Abstract Devices, Theory of Computation, Algorithm Analysis and Problem Complexity, Mathematical Logic and Formal Languages, Information Systems and Communication ServiceEdition | Availability |
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1
Formal Models of Communicating Systems: Languages, Automata, and Monadic Second-Order Logic
Oct 14, 2010, Springer
paperback
3642069479 9783642069475
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Formal Models of Communicating Systems: Languages, Automata, and Monadic Second-Order Logic (Texts in Theoretical Computer Science. An Eatcs Series)
October 10, 2006, Springer
Hardcover
in English
- 1 edition
3540329226 9783540329220
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Book Details
First Sentence
"Nowadays, electronic devices largely depend on complex hardware and software systems."
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