Logic, Automata, and Computational Complexity

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Author :
Publisher : Morgan & Claypool
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Logic, Automata, and Computational Complexity by : Bruce M. Kapron

Download or read book Logic, Automata, and Computational Complexity written by Bruce M. Kapron and published by Morgan & Claypool. This book was released on 2023-05-22 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Stephen A. Cook is a pioneer of the theory of computational complexity. His work on NP-completeness and the P vs. NP problem remains a central focus of this field. Cook won the 1982 Turing Award for “his advancement of our understanding of the complexity of computation in a significant and profound way.” This volume includes a selection of seminal papers embodying the work that led to this award, exemplifying Cook’s synthesis of ideas and techniques from logic and the theory of computation including NP-completeness, proof complexity, bounded arithmetic, and parallel and space-bounded computation. These papers are accompanied by contributed articles by leading researchers in these areas, which convey to a general reader the importance of Cook’s ideas and their enduring impact on the research community. The book also contains biographical material, Cook’s Turing Award lecture, and an interview. Together these provide a portrait of Cook as a recognized leader and innovator in mathematics and computer science, as well as a gentle mentor and colleague.

Theories of Computational Complexity

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Publisher : Elsevier
ISBN 13 : 9780080867755
Total Pages : 486 pages
Book Rating : 4.8/5 (677 download)

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Book Synopsis Theories of Computational Complexity by : C. Calude

Download or read book Theories of Computational Complexity written by C. Calude and published by Elsevier. This book was released on 2011-08-18 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents four machine-independent theories of computational complexity, which have been chosen for their intrinsic importance and practical relevance. The book includes a wealth of results - classical, recent, and others which have not been published before. In developing the mathematics underlying the size, dynamic and structural complexity measures, various connections with mathematical logic, constructive topology, probability and programming theories are established. The facts are presented in detail. Extensive examples are provided, to help clarify notions and constructions. The lists of exercises and problems include routine exercises, interesting results, as well as some open problems.

Logic and Computational Complexity

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Publisher : Springer
ISBN 13 : 9783540601784
Total Pages : 520 pages
Book Rating : 4.6/5 (17 download)

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Book Synopsis Logic and Computational Complexity by : Daniel Leivant

Download or read book Logic and Computational Complexity written by Daniel Leivant and published by Springer. This book was released on 1995-08-02 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains revised versions of papers invited for presentation at the International Workshop on Logic and Computational Complexity, LCC '94, held in Indianapolis, IN in October 1994. The synergy between logic and computational complexity has gained importance and vigor in recent years, cutting across many areas. The 25 revised full papers in this book contributed by internationally outstanding researchers document the state-of-the-art in this interdisciplinary field of growing interest; they are presented in sections on foundational issues, applicative and proof-theoretic complexity, complexity of proofs, computational complexity of functionals, complexity and model theory, and finite model theory.

Computation Theory and Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540181705
Total Pages : 456 pages
Book Rating : 4.1/5 (817 download)

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Book Synopsis Computation Theory and Logic by : Egon Börger

Download or read book Computation Theory and Logic written by Egon Börger and published by Springer Science & Business Media. This book was released on 1987-07-29 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Memory of Dieter Rötting. 24.8.1937 - 4.6.1984. On the Occasion of the 50th Anniversary of His Birth

Automata, Graphs and Logic

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Publisher :
ISBN 13 : 9788184876499
Total Pages : 250 pages
Book Rating : 4.8/5 (764 download)

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Book Synopsis Automata, Graphs and Logic by : D. Gnanaraj Thomas

Download or read book Automata, Graphs and Logic written by D. Gnanaraj Thomas and published by . This book was released on 2019-10-23 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automata, graphs, and logic are three key areas of current research in theoretical computer science and discrete mathematics. This book addresses important issues like automata and verification, automata and computational complexity, connections among automata, logic and graphs, applications of logic in software testing and certain interesting results on these topics. Exhibiting interconnections among these topics are of great benefit to the students, teachers and research community.

Computability, Complexity, and Languages

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Publisher : Morgan Kaufmann Publishers
ISBN 13 : 9781493300341
Total Pages : 609 pages
Book Rating : 4.3/5 (3 download)

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Book Synopsis Computability, Complexity, and Languages by : Prof Martin Davis

Download or read book Computability, Complexity, and Languages written by Prof Martin Davis and published by Morgan Kaufmann Publishers. This book was released on 1994-02-17 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability. * Computability theory is introduced in a manner that makes maximum use of previous programming experience, including a "universal" program that takes up less than a page. * The number of exercises included has more than tripled. * Automata theory, computational logic, and complexity theory are presented in a flexible manner, and can be covered in a variety of different arrangements.

Modeling Time in Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 3642323324
Total Pages : 424 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Modeling Time in Computing by : Carlo A. Furia

Download or read book Modeling Time in Computing written by Carlo A. Furia and published by Springer Science & Business Media. This book was released on 2012-10-19 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models that include a notion of time are ubiquitous in disciplines such as the natural sciences, engineering, philosophy, and linguistics, but in computing the abstractions provided by the traditional models are problematic and the discipline has spawned many novel models. This book is a systematic thorough presentation of the results of several decades of research on developing, analyzing, and applying time models to computing and engineering. After an opening motivation introducing the topics, structure and goals, the authors introduce the notions of formalism and model in general terms along with some of their fundamental classification criteria. In doing so they present the fundamentals of propositional and predicate logic, and essential issues that arise when modeling time across all types of system. Part I is a summary of the models that are traditional in engineering and the natural sciences, including fundamental computer science: dynamical systems and control theory; hardware design; and software algorithmic and complexity analysis. Part II covers advanced and specialized formalisms dealing with time modeling in heterogeneous software-intensive systems: formalisms that share finite state machines as common “ancestors”; Petri nets in many variants; notations based on mathematical logic, such as temporal logic; process algebras; and “dual-language approaches” combining two notations with different characteristics to model and verify complex systems, e.g., model-checking frameworks. Finally, the book concludes with summarizing remarks and hints towards future developments and open challenges. The presentation uses a rigorous, yet not overly technical, style, appropriate for readers with heterogeneous backgrounds, and each chapter is supplemented with detailed bibliographic remarks and carefully chosen exercises of varying difficulty and scope. The book is aimed at graduate students and researchers in computer science, while researchers and practitioners in other scientific and engineering disciplines interested in time modeling with a computational flavor will also find the book of value, and the comparative and conceptual approach makes this a valuable introduction for non-experts. The authors assume a basic knowledge of calculus, probability theory, algorithms, and programming, while a more advanced knowledge of automata, formal languages, and mathematical logic is useful.

Computation and Automata

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Publisher : Cambridge University Press
ISBN 13 : 9780521302456
Total Pages : 304 pages
Book Rating : 4.3/5 (24 download)

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Book Synopsis Computation and Automata by : Arto Salomaa

Download or read book Computation and Automata written by Arto Salomaa and published by Cambridge University Press. This book was released on 1985-05-23 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, which was originally published in 1985, Arto Salomaa gives an introduction to certain mathematical topics central to theoretical computer science: computability and recursive functions, formal languages and automata, computational complexity and cryptography.

Logic and Automata

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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.

Fundamentals of Computation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540108542
Total Pages : 492 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Fundamentals of Computation Theory by : F. Gecseg

Download or read book Fundamentals of Computation Theory written by F. Gecseg and published by Springer Science & Business Media. This book was released on 1981-08 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automata, Computability and Complexity

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Author :
Publisher : Prentice Hall
ISBN 13 : 0132288060
Total Pages : 1120 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Automata, Computability and Complexity by : Elaine Rich

Download or read book Automata, Computability and Complexity written by Elaine Rich and published by Prentice Hall. This book was released on 2008 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt: For upper level courses on Automata. Combining classic theory with unique applications, this crisp narrative is supported by abundant examples and clarifies key concepts by introducing important uses of techniques in real systems. Broad-ranging coverage allows instructors to easily customise course material to fit their unique requirements.

Computational Complexity

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Publisher : Pearson
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Computational Complexity by : Christos H. Papadimitriou

Download or read book Computational Complexity written by Christos H. Papadimitriou and published by Pearson. This book was released on 1994 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first unified introduction and reference for the field of computational complexity. Virtually non-existent only 25 years ago, computational complexity has expanded tremendously and now comprises a major part of the researh activity in theoretical science.

Language and Automata Theory and Applications

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Publisher : Springer
ISBN 13 : 3319049216
Total Pages : 614 pages
Book Rating : 4.3/5 (19 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 2014-02-05 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Language and Automata Theory and Applications, LATA 2014, held in Madrid, Spain in March 2014. The 45 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 116 submissions. The papers cover the following topics: algebraic language theory; algorithms on automata and words; automata and logic; automata for system analysis and program verification; automata, concurrency and Petri nets; automatic structures; combinatorics on words; computability; computational complexity; descriptional complexity; DNA and other models of bio-inspired computing; foundations of finite state technology; foundations of XML; grammars (Chomsky hierarchy, contextual, unification, categorial, etc.); grammatical inference and algorithmic learning; graphs and graph transformation; language varieties and semigroups; parsing; patterns; quantum, chemical and optical computing; semantics; 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.

Elements of Computation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1848824971
Total Pages : 422 pages
Book Rating : 4.8/5 (488 download)

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Book Synopsis Elements of Computation Theory by : Arindama Singh

Download or read book Elements of Computation Theory written by Arindama Singh and published by Springer Science & Business Media. This book was released on 2009-04-30 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The foundation of computer science is built upon the following questions: What is an algorithm? What can be computed and what cannot be computed? What does it mean for a function to be computable? How does computational power depend upon programming constructs? Which algorithms can be considered feasible? For more than 70 years, computer scientists are searching for answers to such qu- tions. Their ingenious techniques used in answering these questions form the theory of computation. Theory of computation deals with the most fundamental ideas of computer s- ence in an abstract but easily understood form. The notions and techniques employed are widely spread across various topics and are found in almost every branch of c- puter science. It has thus become more than a necessity to revisit the foundation, learn the techniques, and apply them with con?dence. Overview and Goals This book is about this solid, beautiful, and pervasive foundation of computer s- ence. It introduces the fundamental notions, models, techniques, and results that form the basic paradigms of computing. It gives an introduction to the concepts and mathematics that computer scientists of our day use to model, to argue about, and to predict the behavior of algorithms and computation. The topics chosen here have shown remarkable persistence over the years and are very much in current use.

The Computational Complexity of Equivalence and Isomorphism Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540410325
Total Pages : 143 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis The Computational Complexity of Equivalence and Isomorphism Problems by : Thomas Thierauf

Download or read book The Computational Complexity of Equivalence and Isomorphism Problems written by Thomas Thierauf and published by Springer Science & Business Media. This book was released on 2000-08-04 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computational model is a framework for doing computations according to certain specified rules on some input data. These models come for example from automata theory, formal language theory, logic, or circuit theory. The computational power of such a model can be judged by evaluating certain problems with respect to that model. The theory of computations is the study of the inherent difficulty of computational problems, that is, their computational complexity. This monograph analyzes the computational complexity of the satisfiability, equivalence, and almost-equivalence problems with respect to various computational models. In particular, Boolean formulas, circuits, and various kinds of branching programs are considered.

Lectures on Logic and Computation

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Publisher : Springer
ISBN 13 : 3642314856
Total Pages : 265 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Lectures on Logic and Computation by : Nick Bezhanishvili

Download or read book Lectures on Logic and Computation written by Nick Bezhanishvili and published by Springer. This book was released on 2012-06-23 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The European Summer School in Logic, Language and Information (ESSLLI) is organized every year by the Association for Logic, Language and Information (FoLLI) in different sites around Europe. The main focus of ESSLLI is on the interface between linguistics, logic and computation. ESSLLI offers foundational, introductory and advanced courses, as well as workshops, covering a wide variety of topics within the three areas of interest: Language and Computation, Language and Logic, and Logic and Computation. During two weeks, around 50 courses and 10 workshops are offered to the attendants, each of 1.5 hours per day during a five days week, with up to seven parallel sessions. ESSLLI also includes a student session (papers and posters by students only, 1.5 hour per day during the two weeks) and four evening lectures by senior scientists in the covered areas. The 6 course notes were carefully reviewed and selected. The papers are organized in topical sections on computational complexity, multi-agant systems, natural language processing, strategies in games and formal semantics.

Descriptive Complexity and Finite Models

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821805177
Total Pages : 265 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Descriptive Complexity and Finite Models by : Neil Immerman

Download or read book Descriptive Complexity and Finite Models written by Neil Immerman and published by American Mathematical Soc.. This book was released on 1997 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface: We hope that this small volume will suggest directions of synergy and contact for future researchers to build upon, creating connections and making discoveries that will help explain some of the many mysteries of computation. Finite model theory can be succinctly described as the study of logics on finite structures. It is an area of research existing between mathematical logic and computer science. This area has been developing through continuous interaction with computational complexity, database theory, and combinatorics. The volume presents articles by leading researchers who delivered talks at the "Workshop on Finite Models and Descriptive Complexity" at Princeton in January 1996 during a DIMACS sponsored Special Year on Logic and Algorithms. Each article is self-contained and provides a valuable introduction to the featured research areas connected with finite model theory. This text will also be of interest to those working in discrete mathematics and combinatorics.