Finite Automata Formal Logic And Circuit Complexity

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Finite Automata, Formal Logic, and Circuit Complexity

Author : Howard Straubing
Publisher : Springer Science & Business Media
ISBN 13 : 1461202892
Total Pages : 235 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Finite Automata, Formal Logic, and Circuit Complexity by : Howard Straubing

Download or read book Finite Automata, Formal Logic, and Circuit Complexity written by Howard Straubing and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Descriptional Complexity of Formal Systems

Author : Markus Holzer
Publisher : Springer
ISBN 13 : 3642226000
Total Pages : 329 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Descriptional Complexity of Formal Systems by : Markus Holzer

Download or read book Descriptional Complexity of Formal Systems written by Markus Holzer and published by Springer. This book was released on 2011-07-18 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Workshop of Descriptional Complexity of Formal Systems 2011, held in Limburg, Germany, in July 2011. The 21 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 54 submissions. The topics covered are automata, grammars, languages and related systems, various measures and modes of operations (e.g., determinism and nondeterminism); trade-offs between computational models and/or operations; succinctness of description of (finite) objects; state explosion-like phenomena; circuit complexity of Boolean functions and related measures; resource-bounded or structure-bounded environments; frontiers between decidability and undecidability; universality and reversibility; structural complexity; formal systems for applications (e.g., software reliability, software and hardware testing, modeling of natural languages); nature-motivated (bio-inspired) architectures and unconventional models of computing; Kolmogorov complexity.

Descriptive Complexity

Author : Neil Immerman
Publisher : Springer Science & Business Media
ISBN 13 : 9780387986005
Total Pages : 292 pages
Book Rating : 4.9/5 (86 download)

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Book Synopsis Descriptive Complexity by : Neil Immerman

Download or read book Descriptive Complexity written by Neil Immerman and published by Springer Science & Business Media. This book was released on 1998-11-20 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: By virtue of the close relationship between logic and relational databases, it turns out that complexity has important applications to databases such as analyzing the parallel time needed to compute a query, and the analysis of nondeterministic classes. This book is a relatively self-contained introduction to the subject, which includes the necessary background material, as well as numerous examples and exercises.

Introduction to Circuit Complexity

Author : Heribert Vollmer
Publisher : Springer Science & Business Media
ISBN 13 : 3662039273
Total Pages : 277 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Introduction to Circuit Complexity by : Heribert Vollmer

Download or read book Introduction to Circuit Complexity written by Heribert Vollmer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced textbook giving a broad, modern view of the computational complexity theory of boolean circuits, with extensive references, for theoretical computer scientists and mathematicians.

Weighted Automata, Formal Power Series and Weighted Logic

Author : Laura Wirth
Publisher : Springer Nature
ISBN 13 : 3658393238
Total Pages : 191 pages
Book Rating : 4.6/5 (583 download)

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Book Synopsis Weighted Automata, Formal Power Series and Weighted Logic by : Laura Wirth

Download or read book Weighted Automata, Formal Power Series and Weighted Logic written by Laura Wirth and published by Springer Nature. This book was released on 2022-10-13 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this work is to represent the behaviors of weighted automata by expressively equivalent formalisms: rational operations on formal power series, linear representations by means of matrices, and weighted monadic second-order logic. First, we exhibit the classical results of Kleene, Büchi, Elgot and Trakhtenbrot, which concentrate on the expressive power of finite automata. We further derive a generalization of the Büchi–Elgot–Trakhtenbrot Theorem addressing formulas, whereas the original statement concerns only sentences. Then we use the language-theoretic methods as starting point for our investigations regarding power series. We establish Schützenberger’s extension of Kleene’s Theorem, referred to as Kleene–Schützenberger Theorem. Moreover, we introduce a weighted version of monadic second-order logic, which is due to Droste and Gastin. By means of this weighted logic, we derive an extension of the Büchi–Elgot–Trakhtenbrot Theorem. Thus, we point out relations among the different specification approaches for formal power series. Further, we relate the notions and results concerning power series to their counterparts in Language Theory. Overall, our investigations shed light on the interplay between languages, formal power series, automata and monadic second-order logic.

Logic and Automata

Author : Jörg Flum
Publisher : Amsterdam University Press
ISBN 13 : 9053565760
Total Pages : 737 pages
Book Rating : 4.0/5 (535 download)

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Book Synopsis Logic and Automata by : Jörg Flum

Download or read book Logic and Automata written by Jörg Flum and published by Amsterdam University Press. This book was released on 2008 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Formal Properties of Finite Automata and Applications

Author : Jean E. Pin
Publisher : Springer Science & Business Media
ISBN 13 : 9783540516316
Total Pages : 276 pages
Book Rating : 4.5/5 (163 download)

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Book Synopsis Formal Properties of Finite Automata and Applications by : Jean E. Pin

Download or read book Formal Properties of Finite Automata and Applications written by Jean E. Pin and published by Springer Science & Business Media. This book was released on 1989-10-11 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the proceedings of the 16th Spring School on Theoretical Computer Science held in Ramatuelle, France, in May 1988. It is a unique combination of research level articles on various aspects of the theory of finite automata and its applications. Advances made in the last five years on the mathematical foundations form the first part of the book. The second part is devoted to the important problems of the theory including star-height, concatenation hierarchies, and connections with logic and word problems. The last part presents a large variety of possible applications: number theory, distributed systems, algorithms on strings, theory of codes, complexity of boolean circuits and others.

Computer Science Logic

Author : European Association for Computer Science Logic. Conference
Publisher : Springer Science & Business Media
ISBN 13 : 3540454586
Total Pages : 639 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computer Science Logic by : European Association for Computer Science Logic. Conference

Download or read book Computer Science Logic written by European Association for Computer Science Logic. Conference and published by Springer Science & Business Media. This book was released on 2006-09-20 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computer Science Logic

Author : Zoltán Ésik
Publisher : Springer
ISBN 13 : 3540454594
Total Pages : 627 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computer Science Logic by : Zoltán Ésik

Download or read book Computer Science Logic written by Zoltán Ésik and published by Springer. This book was released on 2006-09-28 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 20th International Workshop on Computer Science Logic, CSL 2006. The book presents 37 revised full papers together with 4 invited contributions, addressing all current aspects of logic in computer science. Coverage includes 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, finite model theory, and more.

Finite Automata

Author : Mark V. Lawson
Publisher : CRC Press
ISBN 13 : 1482285843
Total Pages : 320 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Finite Automata by : Mark V. Lawson

Download or read book Finite Automata written by Mark V. Lawson and published by CRC Press. This book was released on 2003-09-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in finite automata theory continues to grow, not only because of its applications in computer science, but also because of more recent applications in mathematics, particularly group theory and symbolic dynamics. The subject itself lies on the boundaries of mathematics and computer science, and with a balanced approach that does justice to both aspects, this book provides a well-motivated introduction to the mathematical theory of finite automata. The first half of Finite Automata focuses on the computer science side of the theory and culminates in Kleene's Theorem, which the author proves in a variety of ways to suit both computer scientists and mathematicians. In the second half, the focus shifts to the mathematical side of the theory and constructing an algebraic approach to languages. Here the author proves two main results: Schützenberger's Theorem on star-free languages and the variety theorem of Eilenberg and Schützenberger. Accessible even to students with only a basic knowledge of discrete mathematics, this treatment develops the underlying algebra gently but rigorously, and nearly 200 exercises reinforce the concepts. Whether your students' interests lie in computer science or mathematics, the well organized and flexible presentation of Finite Automata provides a route to understanding that you can tailor to their particular tastes and abilities.

STACS 2006

Author : Bruno Durand
Publisher : Springer
ISBN 13 : 3540322884
Total Pages : 714 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis STACS 2006 by : Bruno Durand

Download or read book STACS 2006 written by Bruno Durand and published by Springer. This book was released on 2006-03-01 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 23rd Annual Symposium on Theoretical Aspects of Computer Science, held in February 2006. The 54 revised full papers presented together with three invited papers were carefully reviewed and selected from 283 submissions. The papers address the whole range of theoretical computer science including algorithms and data structures, automata and formal languages, complexity theory, semantics, and logic in computer science.

Finite Model Theory

Author : Heinz-Dieter Ebbinghaus
Publisher : Springer Science & Business Media
ISBN 13 : 3540287884
Total Pages : 363 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Finite Model Theory by : Heinz-Dieter Ebbinghaus

Download or read book Finite Model Theory written by Heinz-Dieter Ebbinghaus and published by Springer Science & Business Media. This book was released on 2005-12-29 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly revised and enlarged second edition that presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently.

Fields of Logic and Computation

Author : Andreas Blass
Publisher : Springer Science & Business Media
ISBN 13 : 3642150241
Total Pages : 637 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Fields of Logic and Computation by : Andreas Blass

Download or read book Fields of Logic and Computation written by Andreas Blass and published by Springer Science & Business Media. This book was released on 2010-08-05 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume, published in honor of Yuri Gurevich on the occasion of his 70th birthday, contains contributions, written by his colleagues. The collection of articles herein begins with an academic biography, an annotated list of Yuri's publications and reports, and a personal tribute 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 Gurevich’s multiple areas of interest.

Modern Applications of Automata Theory

Author : Deepak D'Souza
Publisher : World Scientific
ISBN 13 : 9814271047
Total Pages : 673 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Modern Applications of Automata Theory by : Deepak D'Souza

Download or read book Modern Applications of Automata Theory written by Deepak D'Souza and published by World Scientific. This book was released on 2012 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata theory has come into prominence in recent years with a plethora of applications in fields ranging from verification to XML processing and file compression. In fact, the 2007 Turing Award was awarded to Clarke, Emerson and Sifakis for their pioneering work on model-checking techniques. To the best of our knowledge, there is no single book that covers the vast range of applications of automata theory targeted at a mature student audience. This book is intended to fill that gap and can be used as an intermediate-level textbook. It begins with a detailed treatment of foundational material not normally covered in a beginner's course in automata theory, and then rapidly moves on to applications. The book is largely devoted to verification and model checking, and contains material that is at the cutting edge of verification technology. It will be an invaluable reference for software practitioners working in this area.

Elements of Finite Model Theory

Author : Leonid Libkin
Publisher : Springer Science & Business Media
ISBN 13 : 3662070030
Total Pages : 320 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Elements of Finite Model Theory by : Leonid Libkin

Download or read book Elements of Finite Model Theory written by Leonid Libkin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizes the computer science aspects of the subject. Details applications in databases, complexity theory, and formal languages, as well as other branches of computer science.

Language and Automata Theory and Applications

Author : Adrian-Horia Dediu
Publisher : Springer
ISBN 13 : 3319300008
Total Pages : 618 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Language and Automata Theory and Applications by : Adrian-Horia Dediu

Download or read book Language and Automata Theory and Applications written by Adrian-Horia Dediu and published by Springer. This book was released on 2016-02-29 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Language and Automata Theory and Applications, LATA 2016, held in Prague, Czech Republic, in March 2016. The 42 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 119 submissions. The papers cover the following topics: algebraic language theory; algorithms for semi-structured data mining, algorithms on automata and words; automata and logic; automata for system analysis and program verification; automata networks, concurrency and Petri nets; automatic structures; cellular automata, codes, combinatorics on words; computational complexity; data and image compression; descriptional complexity; digital libraries and document engineering; foundations of finite state technology; foundations of XML; fuzzy and rough languages; grammatical inference and algorithmic learning; graphs and graph transformation; language varieties and semigroups; parallel and regulated rewriting; parsing; patterns; string and combinatorial issues in computational biology and bioinformatics; string processing algorithms; symbolic dynamics; term rewriting; transducers; trees, tree languages and tree automata; weighted automata.

Current Trends In Theoretical Computer Science - Entering The 21st Century

Author : Gheorghe Paun
Publisher : World Scientific
ISBN 13 : 9814492051
Total Pages : 881 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Current Trends In Theoretical Computer Science - Entering The 21st Century by : Gheorghe Paun

Download or read book Current Trends In Theoretical Computer Science - Entering The 21st Century written by Gheorghe Paun and published by World Scientific. This book was released on 2001-02-12 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific developments at the end of the past millennium were dominated by the huge increase and diversity of disciplines with the common label “computer science”. The theoretical foundations of such disciplines have become known as theoretical computer science. This book highlights some key issues of theoretical computer science as they seem to us now, at the beginning of the new millennium.The text is based on columns and tutorials published in the Bulletin of the European Association for Theoretical Computer Science in the period 1995-2000. The columnists themselves selected the material they wanted for the book, and the editors had a chance to update their work. Indeed, much of the material presented here appears in a form quite different from the original. Since the presentation of most of the articles is reader-friendly and does not presuppose much knowledge of the area, the book constitutes suitable supplementary reading material for various courses in computer science.