Rudiments Of Mu Calculus
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Rudiments Of Mu Calculus
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Author : André Arnold
language : en
Publisher: North-Holland
Release Date : 2001
Rudiments Of Mu Calculus written by André Arnold and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book presents what in our opinion constitutes the basis of the theory of the mu-calculus, considered as an algebraic system rather than a logic. We have wished to present the subject in a unified way, and in a form as general as possible. Therefore, our emphasis is on the generality of the fixed-point notation, and on the connections between mu-calculus, games, and automata, which we also explain in an algebraic way. This book should be accessible for graduate or advanced undergraduate students both in mathematics and computer science. We have designed this book especially for researchers and students interested in logic in computer science, comuter aided verification, and general aspects of automata theory. We have aimed at gathering in a single place the fundamental results of the theory, that are currently very scattered in the literature, and often hardly accessible for interested readers. The presentation is self-contained, except for the proof of the Mc-Naughton's Determinization Theorem (see, e.g., [97]. However, we suppose that the reader is already familiar with some basic automata theory and universal algebra. The references, credits, and suggestions for further reading are given at the end of each chapter.
Stacs 2005
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Author : Volker Diekert
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-02-16
Stacs 2005 written by Volker Diekert 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 2005-02-16 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.
Mathematical Foundations Of Computer Science 2003
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Author : Branislav Rovan
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-08-11
Mathematical Foundations Of Computer Science 2003 written by Branislav Rovan 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 2003-08-11 with Computers categories.
This book constitutes the refereed proceedings of the 28th International Symposium on Mathematical Foundations of Computer Science, MFCS 2003, held in Bratislava, Slovakia in August 2003. The 55 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 137 submissions. All current aspects in theoretical computer science are addressed, ranging from discrete mathematics, combinatorial optimization, graph theory, networking, algorithms, and complexity to programming theory, formal methods, and mathematical logic.
Rudiments Of Calculus
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Author : A. Arnold
language : en
Publisher: Elsevier
Release Date : 2001-02-07
Rudiments Of Calculus written by A. Arnold and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-07 with Computers categories.
This book presents what in our opinion constitutes the basis of the theory of the mu-calculus, considered as an algebraic system rather than a logic. We have wished to present the subject in a unified way, and in a form as general as possible. Therefore, our emphasis is on the generality of the fixed-point notation, and on the connections between mu-calculus, games, and automata, which we also explain in an algebraic way. This book should be accessible for graduate or advanced undergraduate students both in mathematics and computer science. We have designed this book especially for researchers and students interested in logic in computer science, comuter aided verification, and general aspects of automata theory. We have aimed at gathering in a single place the fundamental results of the theory, that are currently very scattered in the literature, and often hardly accessible for interested readers. The presentation is self-contained, except for the proof of the Mc-Naughton's Determinization Theorem (see, e.g., [97]. However, we suppose that the reader is already familiar with some basic automata theory and universal algebra. The references, credits, and suggestions for further reading are given at the end of each chapter.
Tools And Algorithms For The Construction And Analysis Of Systems
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Author : Bernd Finkbeiner
language : en
Publisher: Springer Nature
Release Date : 2024-04-03
Tools And Algorithms For The Construction And Analysis Of Systems written by Bernd Finkbeiner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-03 with Computers categories.
The open access book 3-volume set LNCS 14570-14573 constitutes the proceedings of the 30th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2024, which was held as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2024, during April 6-11, 2024, in Luxembourg. The 53 full papers and 16 short SVComp contributions included in these proceedings were carefully reviewed and selected from 159 submissions. They were organized in topical sections as follows:Part I: STA and SMT solving; synthesis; logic and decidability; program analysis and proofs; proof checking; Part II: Model Checking; automata and learning; software verification; probabilistic systems; simulations; Part III: Neural networks; testing and verification; games; concurrency; SV-Comp 2024.
Topics In Logic Philosophy And Foundations Of Mathematics And Computer Science
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Author : Stanisław Krajewski
language : en
Publisher: IOS Press
Release Date : 2007
Topics In Logic Philosophy And Foundations Of Mathematics And Computer Science written by Stanisław Krajewski and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This volume honors Professor Andrzej Grzegorczyk, the nestor of Polish logicians, on his 85th anniversary. The editors would like to express the respect and sympathy they have for him. His textbook The Outline of Mathematical Logic has been published in many editions and translated into several languages. It was this textbook that introduced many of us into the world of mathematical logic. Professor Grzegorczyk has made fundamental contributions to logic and to philosophy. His results, mainly on hierarchy of primitive recursive functions, known as the Grzegorczyk hierarchy, are of fundamental importance to theoretical computer science. In particular, they were precursory for the computational complexity theory. The editors would like to stress that this special publication celebrates a scientist who is still actively pursuing genuinely innovative directions of research. Quite recently, Andrzej Grzegorczyk gave a new proof of undecidability of the first order functional calculus. His proof does not use the arithmetization of Kurt Gödel. In recognition of his merits, the University of Clermont-Ferrand conferred to Professor Andrzej Grzegorczyk the Doctorat Honoris Causa. The work and life of Professor Andrzej Grzegorczyk is presented in the article by Professors Stanislaw Krajewski and Jan Wolenski. The papers in this collection have been submitted on invitational basis.
Finite Model Theory And Its Applications
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Author : Erich Grädel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-04
Finite Model Theory And Its Applications written by Erich Grädel 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 2007-06-04 with Computers categories.
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.
Tools And Algorithms For The Construction And Analysis Of Systems
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Author : Kurt Jensen
language : en
Publisher: Springer
Release Date : 2004-03-09
Tools And Algorithms For The Construction And Analysis Of Systems written by Kurt Jensen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-09 with Computers categories.
This volume contains the proceedings of the 10th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS 2004). TACAS 2004 took place in Barcelona, Spain, from March 29th to April 2nd, as part of the 7th European Joint Conferences on Theory and Practice of Software (ETAPS 2004), whose aims, organization, and history are detailed in a foreword by the ETAPS Steering Committee Chair, Jos ́ e Luiz Fiadeiro. TACAS is a forum for researchers, developers, and users interested in ri- rously based tools for the construction and analysis of systems. The conference serves to bridge the gaps between di?erent communities including, but not - mited to, those devoted to formal methods, software and hardware veri?cation, static analysis, programming languages, software engineering, real-time systems, and communication protocols that share common interests in, and techniques for, tool development. In particular, by providing a venue for the discussion of common problems, heuristics, algorithms, data structures, and methodologies, TACAS aims to support researchers in their quest to improve the utility, rel- bility, ?exibility, and e?ciency of tools for building systems. TACASseekstheoreticalpaperswithaclearlinktotoolconstruction,papers describingrelevantalgorithmsandpracticalaspectsoftheirimplementation,- pers giving descriptions of tools and associated methodologies, and case studies with a conceptual message.
Perspectives Of Systems Informatics
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Author : Manfred Broy
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-13
Perspectives Of Systems Informatics written by Manfred Broy 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 2004-01-13 with Computers categories.
This book constitutes the thoroughly refereed postconference proceedings of the 5th International Andrei Ershov Memorial Conference, PSI 2003, held in Akademgorodok, Novosibirsk, Russia in July 2003. The 55 revised full papers presented were carefully reviewed and selected from 110 submissions during two rounds of evaluation and improvement. The papers are organized in topical sections on programming, software engineering, software education, program synthesis and transformation, graphical interfaces, partial evaluation and supercompilation, verification, logic and types, concurrent and distributed systems, reactive systems, program specification, verification and model checking, constraint programming, documentation and testing, databases, and natural language processing.
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.