Finite Automata Formal Logic And Circuit Complexity

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Finite Automata Formal Logic And Circuit Complexity

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Author : Howard Straubing
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Finite Automata Formal Logic And Circuit Complexity written by Howard Straubing 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 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.

Descriptive Complexity

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Author : Neil Immerman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Descriptive Complexity written by Neil Immerman 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 Computers categories.

A basic issue in computer science is the complexity of problems. Computational complexity measures how much time or memory is needed as a function of the input problem size. Descriptive complexity is concerned with problems which may be described in first-order logic. By virtue of the close relationship between logic and relational databses, it turns out that this subject has important applications to databases such as analysing the queries computable in polynomial time, analysing the parallel time needed to compute a query, and the analysis of nondeterministic classes. This book is written as a graduate text and so aims to provide a reasonably self-contained introduction to this subject. The author has provided numerous examples and exercises to further illustrate the ideas presented.

Fields Of Logic And Computation

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Author : Andreas Blass
language : en
Publisher: Springer
Release Date : 2010-08-16

Fields Of Logic And Computation written by Andreas Blass and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-16 with Computers categories.

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.

Finite Model Theory

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Author : Heinz-Dieter Ebbinghaus
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-29

Finite Model Theory written by Heinz-Dieter Ebbinghaus 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 2005-12-29 with Mathematics categories.

Finite model theory, the model theory of finite structures, has roots in clas sical model theory; however, its systematic development was strongly influ enced by research and questions of complexity theory and of database theory. Model theory or the theory of models, as it was first named by Tarski in 1954, may be considered as the part of the semantics of formalized languages that is concerned with the interplay between the syntactic structure of an axiom system on the one hand and (algebraic, settheoretic, . . . ) properties of its models on the other hand. As it turned out, first-order language (we mostly speak of first-order logic) became the most prominent language in this respect, the reason being that it obeys some fundamental principles such as the compactness theorem and the completeness theorem. These principles are valuable modeltheoretic tools and, at the same time, reflect the expressive weakness of first-order logic. This weakness is the breeding ground for the freedomwhich modeltheoretic methods rest upon. By compactness, any first-order axiom system either has only finite models of limited cardinality or has infinite models. The first case is trivial because finitely many finite structures can explicitly be described by a first-order sentence. As model theory usually considers all models of an axiom system, modeltheorists were thus led to the second case, that is, to infinite structures. In fact, classical model theory of first-order logic and its generalizations to stronger languages live in the realm of the infinite.

Computer Science Logic

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Author : Georg Gottlob
language : en
Publisher: Springer
Release Date : 2006-10-11

Computer Science Logic written by Georg Gottlob and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-11 with Computers categories.

This book constitutes the strictly refereed post-workshop proceedings of the 12th International Workshop on Computer Science Logic, CSL '98, held as the Annual Conference of the European Association on Computer Science Logic in Brno, Czech Republic in August 1998. The 25 revised full papers presented were carefully reviewed and selected during two rounds of reviewing and revision. Also included are three reviewed invited papers. The papers span the whole scope of computer science logic and mathematical foundations and represent the state of the art in the area.

Foundations Of Information Technology In The Era Of Network And Mobile Computing

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Author : Ricardo Baeza-Yates
language : en
Publisher: Springer
Release Date : 2013-06-29

Foundations Of Information Technology In The Era Of Network And Mobile Computing written by Ricardo Baeza-Yates and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Computers categories.

Foundations of Information Technology in the Era of Network and Mobile Computing is presented in two distinct but interrelated tracks: -Algorithms, Complexity and Models of Computation; -Logic, Semantics, Specification and Verification. This volume contains 45 original and significant contributions addressing these foundational questions, as well as 4 papers by outstanding invited speakers. These papers were presented at the 2nd IFIP International Conference on Theoretical Computer Science (TCS 2002), which was held in conjunction with the 17th World Computer Congress, sponsored by the International Federation for Information Processing (IFIP), and which convened in Montréal, Québec, Canada in August 2002.

Developments In Language Theory

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Author : Tero Harju
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-21

Developments In Language Theory written by Tero Harju 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 2007-06-21 with Computers categories.

This book constitutes the refereed proceedings of the 11th International Conference on Developments in Language Theory, DLT 2007, held in Turku, Finland in July 2007. It addresses all important issues in language theory including grammars, acceptors and transducers for words, trees and graphs; algebraic theories of automata; relationships to cryptography, concurrency, complexity theory and logic; bioinspired computing, and quantum computing.

Mathematical Foundations Of Computer Science 2009

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Author : Rastislav Královic
language : en
Publisher: Springer
Release Date : 2009-08-19

Mathematical Foundations Of Computer Science 2009 written by Rastislav Královic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-19 with Computers categories.

This book constitutes the refereed proceedings of the 34th International Symposium on Mathematical Foundations of Computer Science, MFCS 2009, held in Novy Smokovec, High Tatras, Slovakia, in August 2009. The 56 revised full papers presented together with 7 invited lectures were carefully reviewed and selected from 148 submissions. All current aspects in theoretical computer science and its mathematical foundations are addressed, including algorithmic game theory, algorithmic tearning theory, algorithms and data structures, automata, grammars and formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, cryptography and security, databases and knowledge-based systems, formal specifications and program development, foundations of computing, logic in computer science, mobile computing, models of computation, networks, parallel and distributed computing, quantum computing, semantics and verification of programs, theoretical issues in artificial intelligence.

Stacs 2005

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Author : Volker Diekert
language : en
Publisher: Springer
Release Date : 2005-02-02

Stacs 2005 written by Volker Diekert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-02 with Computers categories.

This book constitutes the refereed proceedings of the 22nd Annual Symposium on Theoretical Aspects of Computer Science, STACS 2005, held in Stuttgart, Germany in February 2005. The 54 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 217 submissions. A broad variety of topics from theoretical computer science are addressed, in particular complexity theory, algorithmics, computational discrete mathematics, automata theory, combinatorial optimization and approximation, networking and graph theory, computational geometry, grammar systems and formal languages, etc.

Semigroups Algorithms Automata And Languages

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Author : Gracinda M S Gomes
language : en
Publisher: World Scientific
Release Date : 2002-11-26

Semigroups Algorithms Automata And Languages written by Gracinda M S Gomes and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-26 with Mathematics categories.

The thematic term on “Semigroups, Algorithms, Automata and Languages” organized at the International Centre of Mathematics (Coimbra, Portugal) in May-July 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages. These areas were selected considering their huge recent developments, their potential applications, and the motivation from other fields of mathematics and computer science.This proceedings volume is a unique collection of advanced courses and original contributions on semigroups and their connections with logic, automata, languages, group theory, discrete dynamics, topology and complexity. A selection of open problems discussed during the thematic term is also included.