Finite Automata, Formal Logic, and Circuit Complexity

Finite Automata, Formal Logic, and Circuit Complexity PDF Author: Howard Straubing
Publisher: Springer Science & Business Media
ISBN: 1461202892
Category : Computers
Languages : en
Pages : 235

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Book Description
The study of the connections between mathematical automata and for mal logic is as old as theoretical computer science itself. In the founding paper of the subject, published in 1936, Turing showed how to describe the behavior of a universal computing machine with a formula of first order predicate logic, and thereby concluded that there is no algorithm for deciding the validity of sentences in this logic. Research on the log ical aspects of the theory of finite-state automata, which is the subject of this book, began in the early 1960's with the work of J. Richard Biichi on monadic second-order logic. Biichi's investigations were extended in several directions. One of these, explored by McNaughton and Papert in their 1971 monograph Counter-free Automata, was the characterization of automata that admit first-order behavioral descriptions, in terms of the semigroup theoretic approach to automata that had recently been developed in the work of Krohn and Rhodes and of Schiitzenberger. In the more than twenty years that have passed since the appearance of McNaughton and Papert's book, the underlying semigroup theory has grown enor mously, permitting a considerable extension of their results. During the same period, however, fundamental investigations in the theory of finite automata by and large fell out of fashion in the theoretical com puter science community, which moved to other concerns.

Finite Automata, Formal Logic, and Circuit Complexity

Finite Automata, Formal Logic, and Circuit Complexity PDF Author: Howard Straubing
Publisher: Springer Science & Business Media
ISBN: 1461202892
Category : Computers
Languages : en
Pages : 235

Get Book Here

Book Description
The study of the connections between mathematical automata and for mal logic is as old as theoretical computer science itself. In the founding paper of the subject, published in 1936, Turing showed how to describe the behavior of a universal computing machine with a formula of first order predicate logic, and thereby concluded that there is no algorithm for deciding the validity of sentences in this logic. Research on the log ical aspects of the theory of finite-state automata, which is the subject of this book, began in the early 1960's with the work of J. Richard Biichi on monadic second-order logic. Biichi's investigations were extended in several directions. One of these, explored by McNaughton and Papert in their 1971 monograph Counter-free Automata, was the characterization of automata that admit first-order behavioral descriptions, in terms of the semigroup theoretic approach to automata that had recently been developed in the work of Krohn and Rhodes and of Schiitzenberger. In the more than twenty years that have passed since the appearance of McNaughton and Papert's book, the underlying semigroup theory has grown enor mously, permitting a considerable extension of their results. During the same period, however, fundamental investigations in the theory of finite automata by and large fell out of fashion in the theoretical com puter science community, which moved to other concerns.

Fields of Logic and Computation

Fields of Logic and Computation PDF Author: Andreas Blass
Publisher: Springer
ISBN: 364215025X
Category : Computers
Languages : en
Pages : 636

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Book Description
Yuri Gurevich has played a major role in the discovery and development of - plications of mathematical logic to theoretical and practical computer science. His interests have spanned a broad spectrum of subjects, including decision p- cedures, the monadic theory of order, abstract state machines, formal methods, foundations of computer science, security, and much more. In May 2010, Yuri celebrated his 70th birthday. To mark that occasion, on August 22, 2010,a symposium was held in Brno, the Czech Republic, as a sat- lite event of the 35th International Symposium on Mathematical Foundations of Computer Science (MFCS 2010) and of the 19th EACSL Annual Conference on Computer Science Logic (CSL 2010). The meeting received generous support from Microsoft Research. In preparation for this 70th birthday event, we asked Yuri’s colleagues (whether or not they were able to attend the symposium) to contribute to a volume in his honor. This book is the result of that e?ort. The collection of articles herein begins with an academic biography, an annotated list of Yuri’s publications and reports, and a personaltribute by Jan Van den Bussche. These are followed by 28 technical contributions. These articles – though they cover a broad range of topics – represent only a fraction of Yuri’s multiple areas of interest. Each contribution was reviewed by one or two readers. In this regard, the editors wish to thank several anonymous individuals for their assistance.

Automata, Formal Languages And Algebraic Systems - Proceedings Of Aflas 2008

Automata, Formal Languages And Algebraic Systems - Proceedings Of Aflas 2008 PDF Author: Masami Ito
Publisher: World Scientific
ISBN: 981446435X
Category : Mathematics
Languages : en
Pages : 247

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Book Description
This volume consists of papers selected from the presentations at the workshop and includes mainly recent developments in the fields of formal languages, automata theory and algebraic systems related to the theoretical computer science and informatics. It covers the areas such as automata and grammars, languages and codes, combinatorics on words, cryptosystems, logics and trees, Grobner bases, minimal clones, zero-divisor graphs, fine convergence of functions, and others.

Foundations of Software Science and Computation Structures

Foundations of Software Science and Computation Structures PDF Author: Stefan Kiefer
Publisher: Springer Nature
ISBN: 3030719952
Category : Mathematics
Languages : en
Pages : 574

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Book Description
This open access book constitutes the proceedings of the 24th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2021, which was held during March 27 until April 1, 2021, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021. The conference was planned to take place in Luxembourg and changed to an online format due to the COVID-19 pandemic. The 28 regular papers presented in this volume were carefully reviewed and selected from 88 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems.

Neural Nets

Neural Nets PDF Author: Maria Marinaro
Publisher: Springer
ISBN: 3540458085
Category : Computers
Languages : en
Pages : 250

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Book Description
This book constitutes the thoroughly refereed post-proceedings of the 13th Italian Workshop on Neural Nets, WIRN VIETRI 2002, held in Vietri sul Mare, Italy in May/June 2002.The 21 revised full papers presented together with three invited papers were carefully reviewed and revised during two rounds of selection and improvement. The papers are organized in topical sections on architectures and algorithms, image and signal processing applications, and learning in neural networks.

Algebraic Informatics

Algebraic Informatics PDF Author: Franz Winkler
Publisher: Springer Science & Business Media
ISBN: 3642214924
Category : Computers
Languages : en
Pages : 270

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Book Description
This book constitutes the refereed proceedings of the 4th International Conference on Algebraic Informatics, CAI 2011, held in Linz, Austria, in June 2011. The 12 revised full papers presented together with 4 invited articles were carefully reviewed and selected from numerous submissions. The papers cover topics such as algebraic semantics on graph and trees, formal power series, syntactic objects, algebraic picture processing, finite and infinite computations, acceptors and transducers for strings, trees, graphs arrays, etc. decision problems, algebraic characterization of logical theories, process algebra, algebraic algorithms, algebraic coding theory, and algebraic aspects of cryptography.

Formal Techniques in Real-Time and Fault-Tolerant Systems

Formal Techniques in Real-Time and Fault-Tolerant Systems PDF Author: Bengt Jonsson
Publisher: Springer Science & Business Media
ISBN: 9783540616481
Category : Computers
Languages : en
Pages : 500

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Book Description
This volume constitutes the refereed proceedings of the Fourth International Symposium on Formal Techniques in Real-Time and Fault-Tolerant Systems, FTRTFTS '96, held in Uppsala, Sweden, in September 1996. The 22 revised full papers presented were selected from a total of 61 submissions; also included are three invited contributions and five tools demonstrations. The papers are organized in sections on state charts, timed automata, duration calculus, case studies, scheduling, fault tolerance, specification, and verification.

Temporal Logics in Computer Science

Temporal Logics in Computer Science PDF Author: Stéphane Demri
Publisher: Cambridge University Press
ISBN: 1107028361
Category : Computers
Languages : en
Pages : 753

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Book Description
A comprehensive, modern and technically precise exposition of the theory and main applications of temporal logics in computer science.

Formal Languages and Automata Theory

Formal Languages and Automata Theory PDF Author: Behera H.S./ Nayak Janmenjoy & Pattnayak Hadibandhu
Publisher: Vikas Publishing House
ISBN: 9325978598
Category : Computers
Languages : en
Pages : 305

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Book Description
The book introduces the fundamental concepts of the theory of computation, formal languages and automata right from the basic building blocks to the depths of the subject. The book begins by giving prerequisites for the subject, like sets, relations and graphs, and all fundamental proof techniques.It proceeds forward to discuss advanced concepts like Turing machine, its language and construction, an illustrated view of the decidability and undecidability of languages along with the post-correspondence problem. KEY FEATURES • Simple and easy-to-follow text • Complete coverage of the subject as per the syllabi of most universities • Discusses advanced concepts like Complexity Theory and various NP-complete problems • More than 250 solved examples

Computer Science Logic

Computer Science Logic PDF Author: European Association for Computer Science Logic. Conference
Publisher: Springer Science & Business Media
ISBN: 3540454586
Category : Computers
Languages : en
Pages : 639

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Book Description
This book constitutes the refereed proceedings of the 20th International Workshop on Computer Science Logic, CSL 2006, held as the 15th Annual Conference of the EACSL in Szeged, Hungary in September 2006. The 37 revised full papers presented together with 4 invited contributions were carefully reviewed and selected from 132 submissions. All current aspects of logic in computer science are addressed, including automated deduction and interactive theorem proving, constructive mathematics and type theory, equational logic and term rewriting, automata and formal logics, modal and temporal logic, model checking, logical aspects of computational complexity, finite model theory, computational proof theory, logic programming and constraints, lambda calculus and combinatory logic, categorical logic and topological semantics, domain theory, database theory, specification, extraction and transformation of programs, logical foundations of programming paradigms, verification of security protocols, linear logic, higher-order logic, nonmonotonic reasoning, as well as logics and type systems for biology.