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Stochastic Relations Interpreting Modal Logic
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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
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a comprehensive discussion of the Giry monad as the underlying categorical construction, presenting many new, hitherto unpublished results.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.
Book Synopsis Relational and Kleene-Algebraic Methods in Computer Science by : R. Berghammer
Download or read book Relational and Kleene-Algebraic Methods in Computer Science written by R. Berghammer and published by Springer Science & Business Media. This book was released on 2004-06-01 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed joint postproceedings of the 7th International Seminar on Relational Methods in Computer Science and the 2nd International Workshop on Applications of Kleene Algebra held in Bad Malente, Germany in May 2003. The 21 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers address foundational and methodological aspects of the calculi of relations and Kleene algebra as well as applications of such methods in various areas of computer science and information processing.
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.
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.
Download or read book Semantics written by Steven Davis and published by Oxford University Press. This book was released on 2004-11-18 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semantics: A Reader contains a broad selection of classic articles on semantics and the semantics/pragmatics interface. Comprehensive in the variety and breadth of theoretical frameworks and topics that it covers, it includes articles representative of the major theoretical frameworks within semantics, including: discourse representation theory, dynamic predicate logic, truth theoretic semantics, event semantics, situation semantics, and cognitive semantics. All the major topics in semantics are covered, including lexical semantics and the semantics of quantified noun phrases, adverbs, adjectives, performatives, and interrogatives. Included are classic papers in the field of semantics as well as papers written especially for the volume. The volume comes with an extensive introduction designed not only to provide an overview of the field, but also to explain the technical concepts the beginner will need to tackle before the more demanding articles. Semantics will have appeal as a textbook for upper level and graduate courses and as a reference for scholars of semantics who want the classic articles in their field in one convenient place.
Book Synopsis Relational and Algebraic Methods in Computer Science by : Wolfram Kahl
Download or read book Relational and Algebraic Methods in Computer Science written by Wolfram Kahl and published by Springer. This book was released on 2015-09-24 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 15th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2015, held in Braga, Portugal, in September/October 2015. The 20 revised full papers and 3 invited papers presented were carefully selected from 25 submissions. The papers deal with the theory of relation algebras and Kleene algebras, process algebras; fixed point calculi; idempotent semirings; quantales, allegories, and dynamic algebras; cylindric algebras, and about their application in areas such as verification, analysis and development of programs and algorithms, algebraic approaches to logics of programs, modal and dynamic logics, interval and temporal logics.
Book Synopsis The Modal Interpretation of Quantum Mechanics by : Dennis Dieks
Download or read book The Modal Interpretation of Quantum Mechanics written by Dennis Dieks and published by Springer Science & Business Media. This book was released on 1998-10-31 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the modal interpretation, the standard mathematical framework of quantum mechanics specifies the physical magnitudes of a system, which have definite values. Probabilities are assigned to the possible values that these magnitudes may adopt. The interpretation is thus concerned with physical properties rather than with measurement results: it is a realistic interpretation (in the sense of scientific realism). One of the notable achievements of this interpretation is that it dissolves the notorious measurement problem. The papers collected here, together with the introduction and concluding critical appraisal, explain the various forms of the modal interpretation, survey its achievements, and discuss those problems that have yet to be solved. Audience: Philosophers of science, theoretical physicists, and graduate students in these disciplines.
Download or read book ECAI 2023 written by K. Gal and published by IOS Press. This book was released on 2023-10-18 with total page 3328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Artificial intelligence, or AI, now affects the day-to-day life of almost everyone on the planet, and continues to be a perennial hot topic in the news. This book presents the proceedings of ECAI 2023, the 26th European Conference on Artificial Intelligence, and of PAIS 2023, the 12th Conference on Prestigious Applications of Intelligent Systems, held from 30 September to 4 October 2023 and on 3 October 2023 respectively in Kraków, Poland. Since 1974, ECAI has been the premier venue for presenting AI research in Europe, and this annual conference has become the place for researchers and practitioners of AI to discuss the latest trends and challenges in all subfields of AI, and to demonstrate innovative applications and uses of advanced AI technology. ECAI 2023 received 1896 submissions – a record number – of which 1691 were retained for review, ultimately resulting in an acceptance rate of 23%. The 390 papers included here, cover topics including machine learning, natural language processing, multi agent systems, and vision and knowledge representation and reasoning. PAIS 2023 received 17 submissions, of which 10 were accepted after a rigorous review process. Those 10 papers cover topics ranging from fostering better working environments, behavior modeling and citizen science to large language models and neuro-symbolic applications, and are also included here. Presenting a comprehensive overview of current research and developments in AI, the book will be of interest to all those working in the field.
Book Synopsis Formal Methods for Real-Time and Probabilistic Systems by : Jost-Pieter Katoen
Download or read book Formal Methods for Real-Time and Probabilistic Systems written by Jost-Pieter Katoen and published by Springer Science & Business Media. This book was released on 1999-05-12 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Fifth International AMAST Workshop on Formal Methods for Real-Time and Probabilistic Systems, ARTS '99, held in Bamberg, Germany in May 1999. The 17 revised full papers presented together with three invited contributions were carefully reviewed and selected from 33 submissions. The papers are organized in topical sections on verification of probabilistic systems, model checking for probabilistic systems, semantics of probabilistic process calculi, semantics of real-time processes, real-time compilation, stochastic process algebra, and modeling and verification of real-time systems.
Book Synopsis Boxes and Diamonds by : Richard Zach
Download or read book Boxes and Diamonds written by Richard Zach and published by . This book was released on 2019-11-09 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook on modal and other intensional logics. It covers normal modal logics, relational semantics, axiomatic and tableaux proof systems, intuitionistic logic, and counterfactual conditionals. It is based on the Open Logic Project and available for free download at openlogicproject.org.
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.
Book Synopsis Algebraic Methodology and Software Technology by : Michael Johnson
Download or read book Algebraic Methodology and Software Technology written by Michael Johnson and published by Springer. This book was released on 2006-09-27 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the refereed proceedings of the 11th International Conference on Algebraic Methodology and Software Technology. The book collects 24 revised full papers together with 3 system demonstrations and 3 invited talks. Coverage includes current issues in formal methods related to algebraic approaches and to software engineering including abstract data types, process algebras, algebraic specification, model checking, abstraction, refinement, mu-calculus, state machines, rewriting, Kleene algebra, programming logic, and formal software development.
Book Synopsis The Logic of Time by : Johan van Benthem
Download or read book The Logic of Time written by Johan van Benthem and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of Time has a wide intellectual appeal across different dis ciplines. This has shown in the variety of reactions received from readers of the first edition of the present Book. Many have reacted to issues raised in its philosophical discussions, while some have even solved a number of the open technical questions raised in the logical elaboration of the latter. These results will be recorded below, at a more convenient place. In the seven years after the first publication, there have been some noticeable newer developments in the logical study of Time and temporal expressions. As far as Temporal Logic proper is concerned, it seems fair to say that these amount to an increase in coverage and sophistication, rather than further break-through innovation. In fact, perhaps the most significant sources of new activity have been the applied areas of Linguistics and Computer Science (including Artificial Intelligence), where many intriguing new ideas have appeared presenting further challenges to temporal logic. Now, since this Book has a rather tight composition, it would have been difficult to interpolate this new material without endangering intelligibility.
Book Synopsis Artificial Intelligence in Education by : Ben Du Boulay
Download or read book Artificial Intelligence in Education written by Ben Du Boulay and published by IOS Press. This book was released on 1997 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of this book is Knowledge and Media in Learning Systems, and papers that explore the emerging roles of intelligent multimedia and distributed technologies as well as computer supported collaboration within that theme are included. The spread of topics is very wide encompassing both well- established areas such as student modelling as well as more novel topics such as distributed intelligent tutoring on the World Wide Web. Far from undermining the need to understand how learning and teaching interact, the newer media continue to emphasise the interdependence of these two processes. Collaboration and tools for collaboration are the major topics of interest. Understanding how human learners collaborate, how peer tutoring works and how the computer can play a useful role as either a more able of even a less able learning partner are all explored here.
Book Synopsis Dictionary of Logic as Applied in the Study of Language by : W. Marciszewski
Download or read book Dictionary of Logic as Applied in the Study of Language written by W. Marciszewski and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. STRUCTURE AND REFERENCES 1.1. The main part of the dictionary consists of alphabetically arranged articles concerned with basic logical theories and some other selected topics. Within each article a set of concepts is defined in their mutual relations. This way of defining concepts in the context of a theory provides better understand ing of ideas than that provided by isolated short defmitions. A disadvantage of this method is that it takes more time to look something up inside an extensive article. To reduce this disadvantage the following measures have been adopted. Each article is divided into numbered sections, the numbers, in boldface type, being addresses to which we refer. Those sections of larger articles which are divided at the first level, i.e. numbered with single numerals, have titles. Main sections are further subdivided, the subsections being numbered by numerals added to the main section number, e.g. I, 1.1, 1.2, ... , 1.1.1, 1.1.2, and so on. A comprehensive subject index is supplied together with a glossary. The aim of the latter is to provide, if possible, short defmitions which sometimes may prove sufficient. As to the use of the glossary, see the comment preceding it.
Book Synopsis Uncertainty Reasoning for the Semantic Web III by : Fernando Bobillo
Download or read book Uncertainty Reasoning for the Semantic Web III written by Fernando Bobillo and published by Springer. This book was released on 2014-11-29 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains revised and significantly extended versions of selected papers from three workshops on Uncertainty Reasoning for the Semantic Web (URSW), held at the International Semantic Web Conferences (ISWC) in 2011, 2012, and 2013. The 16 papers presented were carefully reviewed and selected from numerous submissions. The papers included in this volume are organized in topical sections on probabilistic and Dempster-Shafer models, fuzzy and possibilistic models, inductive reasoning and machine learning, and hybrid approaches.
