Stochastic Coalgebraic Logic

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Stochastic Coalgebraic Logic

Author : Ernst-Erich Doberkat
Publisher : Springer Science & Business Media
ISBN 13 : 3642029957
Total Pages : 231 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Stochastic Coalgebraic Logic by : Ernst-Erich Doberkat

Download or read book Stochastic Coalgebraic Logic written by Ernst-Erich Doberkat and published by Springer Science & Business Media. This book was released on 2009-12-24 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coalgebraic logic is an important research topic in the areas of concurrency theory, semantics, transition systems and modal logics. It provides a general approach to modeling systems, allowing us to apply important results from coalgebras, universal algebra and category theory in novel ways. Stochastic systems provide important tools for systems modeling, and recent work shows that categorical reasoning may lead to new insights, previously not available in a purely probabilistic setting. This book combines coalgebraic reasoning, stochastic systems and logics. It provides an insight into the principles of coalgebraic logic from a categorical point of view, and applies these systems to interpretations of stochastic coalgebraic logics, which include well-known modal logics and continuous time branching logics. The author introduces stochastic systems together with their probabilistic and categorical foundations and gives a comprehensive discussion of the Giry monad as the underlying categorical construction, presenting many new, hitherto unpublished results. He discusses modal logics, introduces their probabilistic interpretations, and then proceeds to an analysis of Kripke models for coalgebraic logics. The book will be of interest to researchers in theoretical computer science, logic and category theory.

Stochastic Relations

Author : Ernst-Erich Doberkat
Publisher : CRC Press
ISBN 13 : 158488942X
Total Pages : 371 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Stochastic Relations by : Ernst-Erich Doberkat

Download or read book Stochastic Relations written by Ernst-Erich Doberkat and published by CRC Press. This book was released on 2007-05-17 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collecting information previously scattered throughout the vast literature, including the author's own research, Stochastic Relations: Foundations for Markov Transition Systems develops the theory of stochastic relations as a basis for Markov transition systems. After an introduction to the basic mathematical tools from topology, measure

Logic and Its Applications

Author : Mohua Banerjee
Publisher : Springer
ISBN 13 : 3642180264
Total Pages : 228 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Logic and Its Applications by : Mohua Banerjee

Download or read book Logic and Its Applications written by Mohua Banerjee and published by Springer. This book was released on 2010-12-10 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the 4th Indian Conference on Logic and Its Applications, ICLA 2011, held in Delhi, India, in January 2011. The 14 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 34 submissions. The papers present current research in all aspects of formal logic ranging from pure and applied logic to history of logic.

Coalgebraic Methods in Computer Science

Author : Helle Hvid Hansen
Publisher : Springer Nature
ISBN 13 : 3031107365
Total Pages : 210 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Coalgebraic Methods in Computer Science by : Helle Hvid Hansen

Download or read book Coalgebraic Methods in Computer Science written by Helle Hvid Hansen and published by Springer Nature. This book was released on 2022-07-22 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 16th International Workshop on Coalgebraic Methods in Computer Science, CMCS 2022, colocated with ETAPS 2022, held in Munich, Germany, in April 2022. The 9 revised full papers were carefully reviewed and selected from 12 submissions. The papers cover a wide range of topics in the theory, logics, and applications of coalgebras.

Introduction to Coalgebra

Author : Bart Jacobs
Publisher : Cambridge University Press
ISBN 13 : 1107177898
Total Pages : 495 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Introduction to Coalgebra by : Bart Jacobs

Download or read book Introduction to Coalgebra written by Bart Jacobs and published by Cambridge University Press. This book was released on 2017 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to coalgebra, with clear mathematical explanations and numerous examples and exercises.

Theory and Applications of Models of Computation

Author : Jianer Chen
Publisher : Springer Science & Business Media
ISBN 13 : 364202016X
Total Pages : 494 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Theory and Applications of Models of Computation by : Jianer Chen

Download or read book Theory and Applications of Models of Computation written by Jianer Chen and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Theory and Applications of Models of Computation, TAMC 2009, held in Changsha, China in May 2009. The 39 full papers presented together with 7 invited papers as well as 3 plenary talks were selected from 86 submissions. The papers address the three main themes of the conference which were Computability, Complexity, and Algorithms. The conference aimed to bring together researchers with interests in theoretical computer science, algorithmic mathematics, and applications to the physical sciences.

Special Topics in Mathematics for Computer Scientists

Author : Ernst-Erich Doberkat
Publisher : Springer
ISBN 13 : 3319227505
Total Pages : 735 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Special Topics in Mathematics for Computer Scientists by : Ernst-Erich Doberkat

Download or read book Special Topics in Mathematics for Computer Scientists written by Ernst-Erich Doberkat and published by Springer. This book was released on 2015-11-16 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook addresses the mathematical description of sets, categories, topologies and measures, as part of the basis for advanced areas in theoretical computer science like semantics, programming languages, probabilistic process algebras, modal and dynamic logics and Markov transition systems. Using motivations, rigorous definitions, proofs and various examples, the author systematically introduces the Axiom of Choice, explains Banach-Mazur games and the Axiom of Determinacy, discusses the basic constructions of sets and the interplay of coalgebras and Kripke models for modal logics with an emphasis on Kleisli categories, monads and probabilistic systems. The text further shows various ways of defining topologies, building on selected topics like uniform spaces, Gödel’s Completeness Theorem and topological systems. Finally, measurability, general integration, Borel sets and measures on Polish spaces, as well as the coalgebraic side of Markov transition kernels along with applications to probabilistic interpretations of modal logics are presented. Special emphasis is given to the integration of (co-)algebraic and measure-theoretic structures, a fairly new and exciting field, which is demonstrated through the interpretation of game logics. Readers familiar with basic mathematical structures like groups, Boolean algebras and elementary calculus including mathematical induction will discover a wealth of useful research tools. Throughout the book, exercises offer additional information, and case studies give examples of how the techniques can be applied in diverse areas of theoretical computer science and logics. References to the relevant mathematical literature enable the reader to find the original works and classical treatises, while the bibliographic notes at the end of each chapter provide further insights and discussions of alternative approaches.

Foundations of Software Science and Computation Structures

Author : Stefan Kiefer
Publisher : Springer Nature
ISBN 13 : 3030719952
Total Pages : 574 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Foundations of Software Science and Computation Structures by : Stefan Kiefer

Download or read book Foundations of Software Science and Computation Structures written by Stefan Kiefer and published by Springer Nature. This book was released on 2021-03-22 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book constitutes the proceedings of the 24th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2021, which was held during March 27 until April 1, 2021, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021. The conference was planned to take place in Luxembourg and changed to an online format due to the COVID-19 pandemic. The 28 regular papers presented in this volume were carefully reviewed and selected from 88 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems.

Validation of Stochastic Systems

Author : Christel Baier
Publisher : Springer
ISBN 13 : 3540246118
Total Pages : 473 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Validation of Stochastic Systems by : Christel Baier

Download or read book Validation of Stochastic Systems written by Christel Baier and published by Springer. This book was released on 2004-08-26 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial volume presents a coherent and well-balanced introduction to the validation of stochastic systems; it is based on a GI/Dagstuhl research seminar. Supervised by the seminar organizers and volume editors, established researchers in the area as well as graduate students put together a collection of articles competently covering all relevant issues in the area. The lectures are organized in topical sections on: modeling stochastic systems, model checking of stochastic systems, representing large state spaces, deductive verification of stochastic systems.

Theory and Applications of Models of Computation

Author : Mitsunori Ogihara
Publisher : Springer
ISBN 13 : 3642208770
Total Pages : 577 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Theory and Applications of Models of Computation by : Mitsunori Ogihara

Download or read book Theory and Applications of Models of Computation written by Mitsunori Ogihara and published by Springer. This book was released on 2011-04-27 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Theory and Applications of Models of Computation, TAMC 2011, held in Tokyo, Japan, in May 2011. The 51 revised full papers presented together with the abstracts of 2 invited talks were carefully reviewed and selected from 136 submissions. The papers address the three main themes of the conference which were computability, complexity, and algorithms and are organized in topical sections on general algorithms, approximation, graph algorithms, complexity, optimization, circuit complexity, data structures, logic and formal language theory, games and learning theory, and cryptography and communication complexity.

J. Michael Dunn on Information Based Logics

Author : Katalin Bimbo
Publisher : Springer
ISBN 13 : 3319293001
Total Pages : 469 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis J. Michael Dunn on Information Based Logics by : Katalin Bimbo

Download or read book J. Michael Dunn on Information Based Logics written by Katalin Bimbo and published by Springer. This book was released on 2016-04-02 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates and expands on J. Michael Dunn’s work on informational interpretations of logic. Dunn, in his Ph.D. thesis (1966), introduced a semantics for first-degree entailments utilizing the idea that a sentence can provide positive or negative information about a topic, possibly supplying both or neither. He later published a related interpretation of the logic R-mingle, which turned out to be one of the first relational semantics for a relevance logic. An incompatibility relation between information states lends itself to a definition of negation and it has figured into Dunn's comprehensive investigations into representations of various negations. The informational view of semantics is also a prominent theme in Dunn’s research on other logics, such as quantum logic and linear logic, and led to the encompassing theory of generalized Galois logics (or "gaggles"). Dunn’s latest work addresses informational interpretations of the ternary accessibility relation and the very nature of information. The book opens with Dunn’s autobiography, followed by a list of his publications. It then presents a series of papers written by respected logicians working on different aspects of information-based logics. The topics covered include the logic R-mingle, which was introduced by Dunn, and its applications in mathematical reasoning as well as its importance in obtaining results for other relevance logics. There are also interpretations of the accessibility relation in the semantics of relevance and other non-classical logics using different notions of information. It also presents a collection of papers that develop semantics for various logics, including certain modal and many-valued logics. The publication of this book is well timed, since we are living in an "information age.” Providing new technical findings, intellectual history and careful expositions of intriguing ideas, it appeals to a wide audience of scholars and researchers.

Theory and Applications of Models of Computation

Author : Manindra Agrawal
Publisher : Springer Science & Business Media
ISBN 13 : 3540792279
Total Pages : 610 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Theory and Applications of Models of Computation by : Manindra Agrawal

Download or read book Theory and Applications of Models of Computation written by Manindra Agrawal and published by Springer Science & Business Media. This book was released on 2008-04-08 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Theory and Applications of Models of Computation, TAMC 2008, held in Xi'an, China in April 2008. The 48 revised full papers presented together with 2 invited talks and 1 plenary lecture were carefully reviewed and selected from 192 submissions. The papers address current issues of all major areas in computer science, mathematics (especially logic) and the physical sciences - computation, algorithms, complexity and computability theory in particular. With this crossdisciplinary character the conference is given a special flavor and distinction.

Formal Methods and Software Engineering

Author : Stephan Merz
Publisher : Springer
ISBN 13 : 3319117378
Total Pages : 476 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Formal Methods and Software Engineering by : Stephan Merz

Download or read book Formal Methods and Software Engineering written by Stephan Merz and published by Springer. This book was released on 2014-10-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 16th International Conference on Formal Engineering Methods, ICFEM 2014, held in Luxembourg, Luxembourg, in November 2014. The 28 revised full papers presented were carefully reviewed and selected from 73 submissions. The papers cover a wide range of topics in the area of formal methods and software engineering and are devoted to advancing the state of the art of applying formal methods in practice. They focus in particular on combinations of conceptual and methodological aspects with their formal foundation and tool support.

Automata, Languages and Programming

Author : Luca Aceto
Publisher : Springer
ISBN 13 : 3642220126
Total Pages : 689 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Automata, Languages and Programming by : Luca Aceto

Download or read book Automata, Languages and Programming written by Luca Aceto and published by Springer. This book was released on 2011-06-21 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 6755 and LNCS 6756 constitutes the refereed proceedings of the 38th International Colloquium on Automata, Languages and Programming, ICALP 2011, held in Zürich, Switzerland, in July 2011. The 114 revised full papers (68 papers for track A, 29 for track B, and 17 for track C) presented together with 4 invited talks, 3 best student papers, and 3 best papers were carefully reviewed and selected from a total of 398 submissions. The papers are grouped in three major tracks on algorithms, complexity and games; on logic, semantics, automata, and theory of programming; as well as on foundations of networked computation: models, algorithms and information management.

Semantics of Probabilistic Processes

Author : Yuxin Deng
Publisher : Springer
ISBN 13 : 3662451980
Total Pages : 258 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Semantics of Probabilistic Processes by : Yuxin Deng

Download or read book Semantics of Probabilistic Processes written by Yuxin Deng and published by Springer. This book was released on 2015-02-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the semantic foundations of concurrent systems with nondeterministic and probabilistic behaviour. Particular attention is given to clarifying the relationship between testing and simulation semantics and characterising bisimulations from metric, logical, and algorithmic perspectives. Besides presenting recent research outcomes in probabilistic concurrency theory, the book exemplifies the use of many mathematical techniques to solve problems in computer science, which is intended to be accessible to postgraduate students in Computer Science and Mathematics. It can also be used by researchers and practitioners either for advanced study or for technical reference.

Stochastic Relations Interpreting Modal Logic

Author : Ernst-Erich DOBERKAT
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (95 download)

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Book Synopsis Stochastic Relations Interpreting Modal Logic by : Ernst-Erich DOBERKAT

Download or read book Stochastic Relations Interpreting Modal Logic written by Ernst-Erich DOBERKAT and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Coalgebraic Methods in Computer Science

Author : Dirk Pattinson
Publisher : Springer
ISBN 13 : 3642327842
Total Pages : 266 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Coalgebraic Methods in Computer Science by : Dirk Pattinson

Download or read book Coalgebraic Methods in Computer Science written by Dirk Pattinson and published by Springer. This book was released on 2012-08-13 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 11th International Workshop on Coalgebraic Methods in Computer Science, CMCS 2012, colocated with ETAPS 2012, held in Tallin, Estonia, in March/April 2012. The 10 revised full papers were carefully reviewed and selected from 23 submissions. Also included are three invited talks. The papers cover a wide range of topics in the theory, logics and applications of coalgebras.