Logic And Games On Automatic Structures

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Logic And Games On Automatic Structures

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Author : Lukasz Kaiser
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-22

Logic And Games On Automatic Structures written by Lukasz Kaiser 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 2011-07-22 with Computers categories.

The evaluation of a logical formula can be viewed as a game played by two opponents, one trying to show that the formula is true and the other trying to prove it is false. This correspondence has been known for a very long time and has inspired numerous research directions. In this book, the author extends this connection between logic and games to the class of automatic structures, where relations are recognized by synchronous finite automata. In model-checking games for automatic structures, two coalitions play against each other with a particular kind of hierarchical imperfect information. The investigation of such games leads to the introduction of a game quantifier on automatic structures, which connects alternating automata with the classical model-theoretic notion of a game quantifier. This study is then extended, determining the memory needed for strategies in infinitary games on the one hand, and characterizing regularity-preserving Lindström quantifiers on the other. Counting quantifiers are investigated in depth: it is shown that all countable omega-automatic structures are in fact finite-word automatic and that the infinity and uncountability set quantifiers are definable in MSO over countable linear orders and over labeled binary trees. This book is based on the PhD thesis of Lukasz Kaiser, which was awarded with the E.W. Beth award for outstanding dissertations in the fields of logic, language, and information in 2009. The work constitutes an innovative study in the area of algorithmic model theory, demonstrating the deep interplay between logic and computability in automatic structures. It displays very high technical and presentational quality and originality, advances significantly the field of algorithmic model theory and raises interesting new questions, thus emerging as a fruitful and inspiring source for future research.

Logic And Games On Automatic Structures

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Author : Łukasz Kaiser
language : en
Publisher:
Release Date : 2008

Logic And Games On Automatic Structures written by Łukasz Kaiser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.

Computer Science Logic

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Author : Zoltán Ésik
language : en
Publisher: Springer
Release Date : 2006-09-28

Computer Science Logic written by Zoltán Ésik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-28 with Computers categories.

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.

Computer Science Logic

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Author : European Association for Computer Science Logic. Conference
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-20

Computer Science Logic written by European Association for Computer Science Logic. Conference 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 2006-09-20 with Computers categories.

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.

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.

Finite And Algorithmic Model Theory

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Author : Javier Esparza
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-10

Finite And Algorithmic Model Theory written by Javier Esparza 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 2011-03-10 with Computers categories.

Surveys of current research in logical aspects of computer science that apply finite and infinite model-theoretic methods.

Fsttcs 2004 Foundations Of Software Technology And Theoretical Computer Science

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Author : Kamal Lodaya
language : en
Publisher: Springer
Release Date : 2004-11-24

Fsttcs 2004 Foundations Of Software Technology And Theoretical Computer Science written by Kamal Lodaya and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-24 with Computers categories.

This book constitutes the refereed proceedings of the 24th International Conference on the Foundations of Software Technology and Theoretical Computer Science, FSTTCS 2004, held in Chennai, India, in December 2004. The 35 revised full papers presented together with 5 invited papers were carefully reviewed and selected from 176 submissions. The papers address a broad variety of current issues in software science, programming theory, systems design and analysis, formal methods, mathematical logic, mathematical foundations, discrete mathematics, combinatorial mathematics, complexity theory, automata theory, and theoretical computer science in general.

Logic For Programming Artificial Intelligence And Reasoning

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Author : Moshe Vardi
language : en
Publisher: Springer
Release Date : 2003-12-01

Logic For Programming Artificial Intelligence And Reasoning written by Moshe Vardi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-01 with Computers categories.

This book constitutes the refereed proceedings of the 10th International Conference on Logic Programming, Artificial Intelligence, and Reasoning, LPAR 2003, held in Almaty, Kazakhstan in September 2003. The 27 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 65 submissions. The papers address all current issues in logic programming, automated reasoning, and AI logics in particular description logics, proof theory, logic calculi, formal verification, model theory, game theory, automata, proof search, constraint systems, model checking, and proof construction.

Stacs 2006

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Author : Bruno Durand
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-14

Stacs 2006 written by Bruno Durand 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 2006-02-14 with Computers categories.

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.

Automated Technology For Verification And Analysis

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Author : Doron A. Peled
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-09-19

Automated Technology For Verification And Analysis written by Doron A. Peled 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 2005-09-19 with Computers categories.

The Automated Technology for Veri?cation and Analysis (ATVA) international symposium series was initiated in 2003, responding to a growing interest in formal veri?cation spurred by the booming IT industry, particularly hardware design and manufacturing in East Asia. Its purpose is to promote research on automated veri?cation and analysis in the region by providing a forum for int- action between the regional and the international research/industrial commu- ties of the ?eld. ATVA 2005, the third of the ATVA series, was held in Taipei, Taiwan, October 4–7, 2005. The main theme of the symposium encompasses - sign, complexities, tools, and applications of automated methods for veri?cation and analysis. The symposium was co-located and had a two-day overlap with FORTE 2005, which was held October 2–5, 2005. We received a total of 95 submissions from 17 countries. Each submission was assigned to three Program Committee members, who were helped by their subreviewers, for rigorous and fair evaluation. The ?nal deliberation by the P- gram Committee was conducted over email for a duration of about 10 days after nearly all review reports had been collected. In the end, 33 papers were - lectedforinclusionintheprogram.ATVA2005hadthreekeynotespeechesgiven respectively by Amir Pnueli (joint with FORTE 2005), Zohar Manna, and Wo- gang Thomas. The main symposium was preceded by a tutorial day, consisting of three two-hour lectures given also by the keynote speakers.