Automata Theory And Logic
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Logic And Automata
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Author : Jörg Flum
language : en
Publisher: Amsterdam University Press
Release Date : 2008
Logic And Automata written by Jörg Flum and has been published by Amsterdam University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Mathematical logic and automata theory are two scientific disciplines with a fundamentally close relationship. The authors of Logic and Automata take the occasion of the sixtieth birthday of Wolfgang Thomas to present a tour d’horizon of automata theory and logic. The twenty papers in this volume cover many different facets of logic and automata theory, emphasizing the connections to other disciplines such as games, algorithms, and semigroup theory, as well as discussing current challenges in the field.
Computation Engineering
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Author : Ganesh Gopalakrishnan
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-10
Computation Engineering written by Ganesh Gopalakrishnan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-10 with Computers categories.
Although it is critical in today’s world that students who take automata theory and logic courses retain what they have learned and understand how to use their knowledge, many textbooks typically emphasize automata theory only, not logic, thus losing a valuable opportunity to tie these subjects together and reinforce learning. This textbook uses interactive tools throughout, such as simple BDD and SAT tools. By providing a blend of theory and practical applications the material is presented as both inviting and current. Key concepts are illustrated in multiple domains so that information is reinforced and students can begin to tie theory and logic together.
Automata Theory And Its Applications
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Author : Bakhadyr Khoussainov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Automata Theory And Its Applications written by Bakhadyr Khoussainov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The theory of finite automata on finite stings, infinite strings, and trees has had a dis tinguished history. First, automata were introduced to represent idealized switching circuits augmented by unit delays. This was the period of Shannon, McCullouch and Pitts, and Howard Aiken, ending about 1950. Then in the 1950s there was the work of Kleene on representable events, of Myhill and Nerode on finite coset congruence relations on strings, of Rabin and Scott on power set automata. In the 1960s, there was the work of Btichi on automata on infinite strings and the second order theory of one successor, then Rabin's 1968 result on automata on infinite trees and the second order theory of two successors. The latter was a mystery until the introduction of forgetful determinacy games by Gurevich and Harrington in 1982. Each of these developments has successful and prospective applications in computer science. They should all be part of every computer scientist's toolbox. Suppose that we take a computer scientist's point of view. One can think of finite automata as the mathematical representation of programs that run us ing fixed finite resources. Then Btichi's SIS can be thought of as a theory of programs which run forever (like operating systems or banking systems) and are deterministic. Finally, Rabin's S2S is a theory of programs which run forever and are nondeterministic. Indeed many questions of verification can be decided in the decidable theories of these automata.
The Logic Of Automata
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Author : Arthur Walter Burks
language : en
Publisher:
Release Date : 1956
The Logic Of Automata written by Arthur Walter Burks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Logic design categories.
Elements Of Automata Theory
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Author : Jacques Sakarovitch
language : en
Publisher: Cambridge University Press
Release Date : 2009-10-01
Elements Of Automata Theory written by Jacques Sakarovitch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-01 with Mathematics categories.
Automata theory lies at the foundation of computer science, and is vital to a theoretical understanding of how computers work and what constitutes formal methods. This treatise gives a rigorous account of the topic and illuminates its real meaning by looking at the subject in a variety of ways. The first part of the book is organised around notions of rationality and recognisability. The second part deals with relations between words realised by finite automata, which not only exemplifies the automata theory but also illustrates the variety of its methods and its fields of application. Many exercises are included, ranging from those that test the reader, to those that are technical results, to those that extend ideas presented in the text. Solutions or answers to many of these are included in the book.
Automata Theory And Logic
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Author :
language : en
Publisher:
Release Date : 2018
Automata Theory And Logic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Automata Logics And Infinite Games
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Author : Erich Grädel
language : en
Publisher: Springer
Release Date : 2003-08-02
Automata Logics And Infinite Games written by Erich Grädel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-02 with Computers categories.
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.
Well Quasi Orders In Computation Logic Language And Reasoning
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Author : Peter M. Schuster
language : en
Publisher: Springer Nature
Release Date : 2020-01-01
Well Quasi Orders In Computation Logic Language And Reasoning written by Peter M. Schuster and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Philosophy categories.
This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos. This highly active branch of combinatorics is deeply rooted in and between many fields of mathematics and logic, including proof theory, commutative algebra, braid groups, graph theory, analytic combinatorics, theory of relations, reverse mathematics and subrecursive hierarchies. As a unifying concept for slick finiteness or termination proofs, wqos have been rediscovered in diverse contexts, and proven to be extremely useful in computer science. The book introduces readers to the many facets of, and recent developments in, wqos through chapters contributed by scholars from various fields. As such, it offers a valuable asset for logicians, mathematicians and computer scientists, as well as scholars and students.
Switching And Finite Automata Theory
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Author : Zvi Kohavi
language : en
Publisher: McGraw-Hill Companies
Release Date : 1978
Switching And Finite Automata Theory written by Zvi Kohavi and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Computers categories.
Infinite Words
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Author : Dominique Perrin
language : en
Publisher: Academic Press
Release Date : 2004-02-18
Infinite Words written by Dominique Perrin and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-18 with Computers categories.
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 Büchi, McNaughton and Schützenberger. 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.