Logical Dynamics of Information and Interaction

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Publisher : Cambridge University Press
ISBN 13 : 1139500465
Total Pages : 387 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Logical Dynamics of Information and Interaction by : Johan van Benthem

Download or read book Logical Dynamics of Information and Interaction written by Johan van Benthem and published by Cambridge University Press. This book was released on 2011-09-29 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a view of logic as a theory of information-driven agency and intelligent interaction between many agents - with conversation, argumentation and games as guiding examples. It provides one uniform account of dynamic logics for acts of inference, observation, questions and communication, that can handle both update of knowledge and revision of beliefs. It then extends the dynamic style of analysis to include changing preferences and goals, temporal processes, group action and strategic interaction in games. Throughout, the book develops a mathematical theory unifying all these systems, and positioning them at the interface of logic, philosophy, computer science and game theory. A series of further chapters explores repercussions of the 'dynamic stance' for these areas, as well as cognitive science.

Johan van Benthem on Logic and Information Dynamics

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Author :
Publisher : Springer
ISBN 13 : 3319060252
Total Pages : 1027 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Johan van Benthem on Logic and Information Dynamics by : Alexandru Baltag

Download or read book Johan van Benthem on Logic and Information Dynamics written by Alexandru Baltag and published by Springer. This book was released on 2014-08-27 with total page 1027 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the program of Logical-Informational Dynamics. Rational agents exploit the information available in the world in delicate ways, adopt a wide range of epistemic attitudes, and in that process, constantly change the world itself. Logical-Informational Dynamics is about logical systems putting such activities at center stage, focusing on the events by which we acquire information and change attitudes. Its contributions show many current logics of information and change at work, often in multi-agent settings where social behavior is essential, and often stressing Johan van Benthem's pioneering work in establishing this program. However, this is not a Festschrift, but a rich tapestry for a field with a wealth of strands of its own. The reader will see the state of the art in such topics as information update, belief change, preference, learning over time, and strategic interaction in games. Moreover, no tight boundary has been enforced, and some chapters add more general mathematical or philosophical foundations or links to current trends in computer science. The theme of this book lies at the interface of many disciplines. Logic is the main methodology, but the various chapters cross easily between mathematics, computer science, philosophy, linguistics, cognitive and social sciences, while also ranging from pure theory to empirical work. Accordingly, the authors of this book represent a wide variety of original thinkers from different research communities. And their interconnected themes challenge at the same time how we think of logic, philosophy and computation. Thus, very much in line with van Benthem's work over many decades, the volume shows how all these disciplines form a natural unity in the perspective of dynamic logicians (broadly conceived) exploring their new themes today. And at the same time, in doing so, it offers a broader conception of logic with a certain grandeur, moving its horizons beyond the traditional study of consequence relations.

Logic in Games

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Publisher : MIT Press
ISBN 13 : 0262019906
Total Pages : 567 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Logic in Games by : Johan Van Benthem

Download or read book Logic in Games written by Johan Van Benthem and published by MIT Press. This book was released on 2014-01-24 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive examination of the interfaces of logic, computer science, and game theory, drawing on twenty years of research on logic and games. This book draws on ideas from philosophical logic, computational logic, multi-agent systems, and game theory to offer a comprehensive account of logic and games viewed in two complementary ways. It examines the logic of games: the development of sophisticated modern dynamic logics that model information flow, communication, and interactive structures in games. It also examines logic as games: the idea that logical activities of reasoning and many related tasks can be viewed in the form of games. In doing so, the book takes up the “intelligent interaction” of agents engaging in competitive or cooperative activities and examines the patterns of strategic behavior that arise. It develops modern logical systems that can analyze information-driven changes in players' knowledge and beliefs, and introduces the “Theory of Play” that emerges from the combination of logic and game theory. This results in a new view of logic itself as an interactive rational activity based on reasoning, perception, and communication that has particular relevance for games. Logic in Games, based on a course taught by the author at Stanford University, the University of Amsterdam, and elsewhere, can be used in advanced seminars and as a resource for researchers.

Modal Logic for Open Minds

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Publisher :
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis Modal Logic for Open Minds by : Johan van Benthem

Download or read book Modal Logic for Open Minds written by Johan van Benthem and published by . This book was released on 2010 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the author provides an introduction to the field of modal logic, outlining its major ideas and emploring the numerous ways in which various academic fields have adopted it.

Language in Action

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Publisher : MIT Press
ISBN 13 : 9780262720243
Total Pages : 390 pages
Book Rating : 4.7/5 (22 download)

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Book Synopsis Language in Action by : Johan van Benthem

Download or read book Language in Action written by Johan van Benthem and published by MIT Press. This book was released on 1995 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Language in Action demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. Since its initial publication it has become the classic work in the foundations of categorial grammar. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature. Van Benthem presents the categorial processing of syntax and semantics as a central component in a more general dynamic logic of information flow, in tune with computational developments in artificial intelligence and cognitive science. Using the paradigm of categorial grammar, he describes the substructural logics driving the dynamics of natural language syntax and semantics. This is a general type-theoretic approach that lends itself easily to proof-theoretic and semantic studies in tandem with standard logic. The emphasis is on a broad landscape of substructural categorial logics and their proof-theoretical and semantic peculiarities. This provides a systematic theory for natural language understanding, admitting of significant mathematical results. Moreover, the theory makes possible dynamic interpretations that view natural languages as programming formalisms for various cognitive activities.

Essays in Logical Semantics

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Publisher : Springer Science & Business Media
ISBN 13 : 940094540X
Total Pages : 231 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Essays in Logical Semantics by : Johan van Benthem

Download or read book Essays in Logical Semantics written by Johan van Benthem and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in the semantics of natural language seem to lead to a genuine synthesis of ideas from linguistics and logic, producing novel concepts and questions of interest to both parent disciplines. This book is a collection of essays on such new topics, which have arisen over the past few years. Taking a broad view, developments in formal semantics over the past decade can be seen as follows. At the beginning stands Montague's pioneering work, showing how a rigorous semantics can be given for complete fragments of natural language by creating a suitable fit between syntactic categories and semantic types. This very enterprise already dispelled entrenched prejudices concerning the separation of linguistics and logic. Having seen the light, however, there is no reason at all to stick to the letter of Montague's proposals, which are often debatable. Subsequently, then, many improvements have been made upon virtually every aspect of the enterprise. More sophisticated grammars have been inserted (lately, lexical-functional grammar and generalized phrase structure grammar), more sensitive model structures have been developed (lately, 'partial' rather than 'total' in their com position), and even the mechanism of interpretation itself may be fine-tuned more delicately, using various forms of 'representations' mediating between linguistic items and semantic reality. In addition to all these refinements of the semantic format, descriptive coverage has extended considerably.

Handbook of Logic and Language

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Publisher : Elsevier
ISBN 13 : 0444537279
Total Pages : 1169 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Handbook of Logic and Language by : Johan F.A.K. van Benthem

Download or read book Handbook of Logic and Language written by Johan F.A.K. van Benthem and published by Elsevier. This book was released on 2010-12-17 with total page 1169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. Completely revised and updated - includes over 25% new material Discusses the interface between logic and language Many of the authors are creators or active developers of the theories

Exploring Logical Dynamics

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Publisher : Center for the Study of Language and Information Publications
ISBN 13 : 9781575860589
Total Pages : 341 pages
Book Rating : 4.8/5 (65 download)

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Book Synopsis Exploring Logical Dynamics by : Johan F. A. K. van Benthem

Download or read book Exploring Logical Dynamics written by Johan F. A. K. van Benthem and published by Center for the Study of Language and Information Publications. This book was released on 1996-08-28 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exploration of current trends in logical theories of information flow across various fields, such as belief revision in computer science or dynamic semantics in linguistics. It provides one mathematical perspective encompassing all of these. This framework generates a new agenda of questions concerning dynamic inference and dynamic operators. The result is a mathematical theory of process models, simulations between these, and modal languages over them, which is developed in quite some detail. New results include theorems on expressive completeness, representation of styles of inference, and new kinds of decidable remodeling for standard logics. This theory is also confronted with practice in computer science, linguistics and philosophy.

Dynamic Epistemic Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 140205839X
Total Pages : 303 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Dynamic Epistemic Logic by : Hans van Ditmarsch

Download or read book Dynamic Epistemic Logic written by Hans van Ditmarsch and published by Springer Science & Business Media. This book was released on 2007-05-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Epistemic Logic is the logic of knowledge change. This book provides various logics to support such formal specifications, including proof systems. Concrete examples and epistemic puzzles enliven the exposition. The book also offers exercises with answers. It is suitable for graduate courses in logic. Many examples, exercises, and thorough completeness proofs and expressivity results are included. A companion web page offers slides for lecturers and exams for further practice.

A Manual of Intensional Logic

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Publisher : Center for the Study of Language and Information Publications
ISBN 13 : 9780937073292
Total Pages : 145 pages
Book Rating : 4.0/5 (732 download)

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Book Synopsis A Manual of Intensional Logic by : Johan F. A. K. van Benthem

Download or read book A Manual of Intensional Logic written by Johan F. A. K. van Benthem and published by Center for the Study of Language and Information Publications. This book was released on 1988-07-01 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intensional logic is the technical study of such intensional phenomena in human reasoning as modality, knowledge, or flow of time. These all require a richer semantic picture than standard truth values in one static environment. Such a picture is provided by so-called possible worlds semantics, a paradigm which is surveyed in this book, both as to its external sources of motivation and as to the internal dynamics of the resulting program. In particular, Manual of Intensional Logic presents the major classical topics, including modal logic, tense logic, and conditional logic, all of which illustrate motivations coming from philosophy and linguistics. The Book also discusses recent computational applications in computer science and AI. Finally, Manual of Intensional Logic takes up recent developments in the study of language and information making themselves felt in the area. The Book examines the role of partial information--with illustrations drawn from different branches of Intensional Logic--and various influences stemming from current theories of the semantics of natural language, involving generalized quantifiers and theories of types.

Handbook of Spatial Logics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402055870
Total Pages : 1058 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Spatial Logics by : Marco Aiello

Download or read book Handbook of Spatial Logics written by Marco Aiello and published by Springer Science & Business Media. This book was released on 2007-09-04 with total page 1058 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this handbook is to create, for the first time, a systematic account of the field of spatial logic. The book comprises a general introduction, followed by fourteen chapters by invited authors. Each chapter provides a self-contained overview of its topic, describing the principal results obtained to date, explaining the methods used to obtain them, and listing the most important open problems. Jointly, these contributions constitute a comprehensive survey of this rapidly expanding subject.

Neighborhood Semantics for Modal Logic

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Publisher : Springer
ISBN 13 : 3319671499
Total Pages : 154 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Neighborhood Semantics for Modal Logic by : Eric Pacuit

Download or read book Neighborhood Semantics for Modal Logic written by Eric Pacuit and published by Springer. This book was released on 2017-11-15 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic. In addition to presenting the relevant technical background, it highlights both the pitfalls and potential uses of neighborhood models – an interesting class of mathematical structures that were originally introduced to provide a semantics for weak systems of modal logic (the so-called non-normal modal logics). In addition, the book discusses a broad range of topics, including standard modal logic results (i.e., completeness, decidability and definability); bisimulations for neighborhood models and other model-theoretic constructions; comparisons with other semantics for modal logic (e.g., relational models, topological models, plausibility models); neighborhood semantics for first-order modal logic, applications in game theory (coalitional logic and game logic); applications in epistemic logic (logics of evidence and belief); and non-normal modal logics with dynamic modalities. The book can be used as the primary text for seminars on philosophical logic focused on non-normal modal logics; as a supplemental text for courses on modal logic, logic in AI, or philosophical logic (either at the undergraduate or graduate level); or as the primary source for researchers interested in learning about the uses of neighborhood semantics in philosophical logic and game theory.

Logical Dynamics of Information and Interaction

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Publisher :
ISBN 13 : 9781139190343
Total Pages : 386 pages
Book Rating : 4.1/5 (93 download)

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Book Synopsis Logical Dynamics of Information and Interaction by : Johan van Benthem

Download or read book Logical Dynamics of Information and Interaction written by Johan van Benthem and published by . This book was released on 2014-05-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a new view of logic as a theory of information-driven agency and intelligent interaction between many agents with conversation, argumentation and games as guiding examples. It provides one uniform account of dynamic logics for acts of inference, observation, questions and communication, that can handle both update of knowledge and revision of beliefs. It then extends the dynamic style of analysis to include changing preferences and goals, temporal processes, group action and strategic interaction in games. Throughout, the book develops a mathematical theory unifying all these systems, and positioning them at the interface of logic, philosophy, computer science and game theory. A series of further chapters explores repercussions of the dynamic stance' for these areas, as well as cognitive science."

Handbook of Philosophical Logic

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Publisher : Springer
ISBN 13 : 3319977555
Total Pages : 377 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Handbook of Philosophical Logic by : Dov M. Gabbay

Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer. This book was released on 2018-10-19 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This eighteenth volume of the acclaimed Handbook of Philosophical Logic includes many contributors who are among the most famous leading figures of applied philosophical logic of our time. Coverage includes deontic logic, practical reasoning, homogeneous and heterogeneous logical proportion, and talmudic logic. Overall, it will appeal to students, practitioners, and researchers looking for an authoritative resource in these areas. The contributors first explore models in terms of dynamic logics for information-driven agency. The paradigm they use is dynamic-epistemic logics for knowledge and belief and their current extensions to the statics and dynamics of agents’ preferences. Next, in the presentation of preference based agency, coverage examines a large number of themes, including interactive social agents and scenarios with long term patterns emerging over time. From here, the book moves on to offer an introduction to homogeneous and heterogeneous logical proportions. Readers will also learn more about the general challenge that the problem of formalizing practical reasoning presents to logical theory. The contributors survey the existing resources that might contribute to the development of such a formalization. They conclude that, while a robust, adequate logic of practical reasoning is not yet in place, the materials for developing such a logic are now available. The last chapter explores topics that deal with the logic of Jewish law and the logic of the Talmud. This includes obligations and prohibitions in Talmudic deontic logic, the handling of loops in Talmudic logic, Temporal Talmudic logic, and quantum states and disjunctive attacks in Talmudic logic. The Talmudic logic system presented are also exported to general logic and to Artificial Intelligence.

Knowledge, Proof and Dynamics

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Publisher : Springer
ISBN 13 : 9789811522239
Total Pages : 217 pages
Book Rating : 4.5/5 (222 download)

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Book Synopsis Knowledge, Proof and Dynamics by : Fenrong Liu

Download or read book Knowledge, Proof and Dynamics written by Fenrong Liu and published by Springer. This book was released on 2021-03-24 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers selected papers presented at the Fourth Asian Workshop on Philosophical Logic, held in Beijing in October 2018. The contributions cover a wide variety of topics in modal logic (epistemic logic, temporal logic and dynamic logic), proof theory, algebraic logic, game logics, and philosophical foundations of logic. They also reflect the interdisciplinary nature of logic – a subject that has been studied in fields as diverse as philosophy, linguistics, mathematics, computer science and artificial intelligence. More specifically. The book also presents the latest developments in logic both in Asia and beyond.

The Dialogical Roots of Deduction

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Publisher : Cambridge University Press
ISBN 13 : 110847988X
Total Pages : 287 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis The Dialogical Roots of Deduction by : Catarina Dutilh Novaes

Download or read book The Dialogical Roots of Deduction written by Catarina Dutilh Novaes and published by Cambridge University Press. This book was released on 2020-12-17 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive account of the concept and practices of deduction covering philosophy, history, cognition and mathematical practice.

Interactive Logic

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Publisher : Amsterdam University Press
ISBN 13 : 9053563563
Total Pages : 363 pages
Book Rating : 4.0/5 (535 download)

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Book Synopsis Interactive Logic by : J. F. A. K. van Benthem

Download or read book Interactive Logic written by J. F. A. K. van Benthem and published by Amsterdam University Press. This book was released on 2007 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally, logic has dealt with notions of truth and reasoning. In the past several decades, however, research focus in logic has shifted to the vast field of interactive logic—the domain of logics for both communication and interaction. The main applications of this move are logical approaches to games and social software; the wealth of these applications was the focus of the seventh Augustus de Morgan Workshop in November 2005. This collection of papers from the workshop serves as the initial volume in the new series Texts in Logics and Games—touching on research in logic, mathematics, computer science, and game theory. “A wonderful demonstration of contemporary topics in logic.”—Wiebe van der Hoek, University of Liverpool