Logic And Games On Automatic Structures

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Logic and Games on Automatic Structures

Author : Lukasz Kaiser
Publisher : Springer Science & Business Media
ISBN 13 : 3642228062
Total Pages : 126 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Logic and Games on Automatic Structures by : Lukasz Kaiser

Download or read book Logic and Games on Automatic Structures written by Lukasz Kaiser and published by Springer Science & Business Media. This book was released on 2011-07-22 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computer Science Logic

Author : Zoltán Ésik
Publisher : Springer
ISBN 13 : 3540454594
Total Pages : 639 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 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. 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

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.

Logic and Games on Automatic Structures

Author : Lukasz Kaiser
Publisher : Springer
ISBN 13 : 3642228070
Total Pages : 126 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Logic and Games on Automatic Structures by : Lukasz Kaiser

Download or read book Logic and Games on Automatic Structures written by Lukasz Kaiser and published by Springer. This book was released on 2011-07-22 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Finite and Algorithmic Model Theory

Author : Javier Esparza
Publisher : Cambridge University Press
ISBN 13 : 0521718201
Total Pages : 355 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Finite and Algorithmic Model Theory by : Javier Esparza

Download or read book Finite and Algorithmic Model Theory written by Javier Esparza and published by Cambridge University Press. This book was released on 2011-03-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys of current research in logical aspects of computer science that apply finite and infinite model-theoretic methods.

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.

Their Footprints Remain

Author : Alex McKay
Publisher : Amsterdam University Press
ISBN 13 : 9053565183
Total Pages : 737 pages
Book Rating : 4.0/5 (535 download)

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Book Synopsis Their Footprints Remain by : Alex McKay

Download or read book Their Footprints Remain written by Alex McKay and published by Amsterdam University Press. This book was released on 2007 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: By the end of the 19th century, British imperial medical officers and Christian medical missionaries had introduced Western medicine to Tibet, Sikkim, and Bhutan. Their Footprints Remain uses archival sources, personal letters, diaries, and oral sources in order to tell the fascinating story of how this once-new medical system became imbedded in the Himalayas. Of interest to anyone with an interest in medical history and anthropology, as well as the Himalayan world, this volume not only identifies the individuals involved and describes how they helped to spread this form of imperialist medicine, but also discusses its reception by a local people whose own medical practices were based on an entirely different understanding of the world.

Foundations of Software Science and Computational Structures

Author : Luca Aceto
Publisher : Springer Science & Business Media
ISBN 13 : 3540330453
Total Pages : 459 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Foundations of Software Science and Computational Structures by : Luca Aceto

Download or read book Foundations of Software Science and Computational Structures written by Luca Aceto and published by Springer Science & Business Media. This book was released on 2006-03-16 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2006, held in Vienna, Austria in March 2006 as part of ETAPS. The 28 revised full papers presented together with 1 invited paper were carefully reviewed and selected from 107 submissions. The papers are organized in topical sections on mobile processes, software science, distributed computation, categorical models, real time and hybrid systems, process calculi, automata and logic, domains, lambda calculus, types, and security.

How the World Computes

Author : Barry S. Cooper
Publisher : Springer
ISBN 13 : 3642308708
Total Pages : 773 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis How the World Computes by : Barry S. Cooper

Download or read book How the World Computes written by Barry S. Cooper and published by Springer. This book was released on 2012-05-28 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Turing Centenary Conference and the 8th Conference on Computability in Europe, CiE 2012, held in Cambridge, UK, in June 2012. The 53 revised papers presented together with 6 invited lectures were carefully reviewed and selected with an acceptance rate of under 29,8%. The CiE 2012 Turing Centenary Conference will be remembered as a historic event in the continuing development of the powerful explanatory role of computability across a wide spectrum of research areas. The papers presented at CiE 2012 represent the best of current research in the area, and forms a fitting tribute to the short but brilliant trajectory of Alan Mathison Turing. Both the conference series and the association promote the development of computability-related science, ranging over mathematics, computer science and applications in various natural and engineering sciences such as physics and biology, and also including the promotion of related non-scientific fields such as philosophy and history of computing.

Computer Science Logic

Author : Erich Grädel
Publisher : Springer Science & Business Media
ISBN 13 : 3642040268
Total Pages : 577 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Computer Science Logic by : Erich Grädel

Download or read book Computer Science Logic written by Erich Grädel and published by Springer Science & Business Media. This book was released on 2009-08-28 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 23rd International Workshop on Computer Science Logic, CSL 2009, held in Coimbra, Portugal, in September 2009. The 34 papers presented together with 5 invited talks were carefully reviewed and selected from 89 full paper submissions. All current aspects of logic in computer science are addressed, ranging from foundational and methodological issues to application issues of practical relevance. The book concludes with a presentation of this year's Ackermann award, the EACSL Outstanding Dissertation Award for Logic in Computer Science.

STACS 2006

Author : Bruno Durand
Publisher : Springer Science & Business Media
ISBN 13 : 3540323015
Total Pages : 730 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 Science & Business Media. This book was released on 2006-02-14 with total page 730 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.

Model Checking, Synthesis, and Learning

Author : Ernst-Rüdiger Olderog
Publisher : Springer Nature
ISBN 13 : 3030913848
Total Pages : 228 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Model Checking, Synthesis, and Learning by : Ernst-Rüdiger Olderog

Download or read book Model Checking, Synthesis, and Learning written by Ernst-Rüdiger Olderog and published by Springer Nature. This book was released on 2021-12-02 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift, dedicated to Bengt Jonsson on the occasion of his 60th birthday, contains papers written by many of his friends and collaborators. Bengt has made major contributions covering a wide range of topics including verification and learning. His works on verification, in finite state systems, learning, testing, probabilistic systems, timed systems, and distributed systems reflect both the diversity and the depth of his research. Besides being an excellent scientist, Bengt is also a leader who has greatly influenced the careers of both his students and his colleagues. His main focus throughout his career has been in the area of formal methods, and the research papers dedicated to him in this volume address related topics, particularly related to model checking, temporal logic, and automata learning.

Foundations of Software Science and Computation Structures

Author : Andrew Pitts
Publisher : Springer
ISBN 13 : 3662466783
Total Pages : 467 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Foundations of Software Science and Computation Structures by : Andrew Pitts

Download or read book Foundations of Software Science and Computation Structures written by Andrew Pitts and published by Springer. This book was released on 2015-03-31 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 18th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2015, held in London, UK, in April 2015, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2015. The 28 full papers presented in this volume were carefully reviewed and selected from 93 submissions. They are organized in topical sections named: semantics of programming languages; categorical models and logics; concurrent, probabilistic and timed systems; automata, games, verification; logical aspects of computational complexity; and type theory, proof theory and implicit computational complexity. The book also contains one full paper invited talk.

Finite Model Theory and Its Applications

Author : Erich Grädel
Publisher : Springer Science & Business Media
ISBN 13 : 3540004289
Total Pages : 447 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis Finite Model Theory and Its Applications by : Erich Grädel

Download or read book Finite Model Theory and Its Applications written by Erich Grädel and published by Springer Science & Business Media. This book was released on 2007-04-24 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particular the theory of computational complexity and database theory. One of the fundamental insights of mathematical logic is that our understanding of mathematical phenomena is enriched by elevating the languages we use to describe mathematical structures to objects of explicit study. If mathematics is the science of patterns, then the media through which we discern patterns, as well as the structures in which we discern them, command our attention. It isthis aspect oflogicwhichis mostprominentin model theory,“thebranchof mathematical logic which deals with the relation between a formal language and its interpretations”. No wonder, then, that mathematical logic, and ?nite model theory in particular, should ?nd manifold applications in computer science: from specifying programs to querying databases, computer science is rife with phenomena whose understanding requires close attention to the interaction between language and structure. This volume gives a broadoverviewof some central themes of ?nite model theory: expressive power, descriptive complexity, and zero–one laws, together with selected applications to database theory and arti?cial intelligence, es- cially constraint databases and constraint satisfaction problems. The ?nal chapter provides a concise modern introduction to modal logic,which emp- sizes the continuity in spirit and technique with ?nite model theory.

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.

CONCUR 2007 - Concurrency Theory

Author : Luís Caires
Publisher : Springer
ISBN 13 : 354074407X
Total Pages : 519 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis CONCUR 2007 - Concurrency Theory by : Luís Caires

Download or read book CONCUR 2007 - Concurrency Theory written by Luís Caires and published by Springer. This book was released on 2007-08-19 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 17th International Conference on Concurrency Theory. Thirty full papers are presented along with three important invited papers. Each of these papers was carefully reviewed by the editors. Topics include model checking, process calculi, minimization and equivalence checking, types, semantics, probability, bisimulation and simulation, real time, and formal languages.

FSTTCS 2004: Foundations of Software Technology and Theoretical Computer Science

Author : Kamal Lodaya
Publisher : Springer Science & Business Media
ISBN 13 : 3540240586
Total Pages : 546 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis FSTTCS 2004: Foundations of Software Technology and Theoretical Computer Science by : Kamal Lodaya

Download or read book FSTTCS 2004: Foundations of Software Technology and Theoretical Computer Science written by Kamal Lodaya and published by Springer Science & Business Media. This book was released on 2004-12-02 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.