Johan Van Benthem On Logic And Information Dynamics

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Johan van Benthem on Logic and Information Dynamics

Alexandru Baltag,Sonja Smets
Johan van Benthem on Logic and Information Dynamics Book PDF

Author : Alexandru Baltag,Sonja Smets
Publisher : Springer
Page : 1027 pages
File Size : 42,7 Mb
Release : 2014-08-27
Category : Philosophy
ISBN : 9783319060255

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Johan van Benthem on Logic and Information Dynamics by Alexandru Baltag,Sonja Smets Pdf

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.

Logical Dynamics of Information and Interaction

Johan van Benthem
Logical Dynamics of Information and Interaction Book PDF

Author : Johan van Benthem
Publisher : Cambridge University Press
Page : 387 pages
File Size : 47,6 Mb
Release : 2011-09-29
Category : Mathematics
ISBN : 9781139500463

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Logical Dynamics of Information and Interaction by Johan van Benthem Pdf

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.

Logic in Games

Johan Van Benthem
Logic in Games Book PDF

Author : Johan Van Benthem
Publisher : MIT Press
Page : 567 pages
File Size : 44,9 Mb
Release : 2014-01-24
Category : Computers
ISBN : 9780262019903

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Logic in Games by Johan Van Benthem Pdf

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.

Exploring Logical Dynamics

Johan F. A. K. van Benthem
Exploring Logical Dynamics Book PDF

Author : Johan F. A. K. van Benthem
Publisher : Center for the Study of Language and Information Publications
Page : 341 pages
File Size : 46,8 Mb
Release : 1996-08-28
Category : Computers
ISBN : 1575860589

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Exploring Logical Dynamics by Johan F. A. K. van Benthem Pdf

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.

Modal Logic for Open Minds

Johan van Benthem
Modal Logic for Open Minds Book PDF

Author : Johan van Benthem
Publisher : Unknown
Page : 402 pages
File Size : 45,5 Mb
Release : 2010
Category : Philosophy
ISBN : NWU:35556040094005

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Modal Logic for Open Minds by Johan van Benthem Pdf

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.

Logical Dynamics of Information and Interaction

Johan van Benthem
Logical Dynamics of Information and Interaction Book PDF

Author : Johan van Benthem
Publisher : Unknown
Page : 386 pages
File Size : 42,6 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1139190342

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Logical Dynamics of Information and Interaction by Johan van Benthem Pdf

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."

Language in Action

Johan van Benthem
Language in Action Book PDF

Author : Johan van Benthem
Publisher : MIT Press
Page : 390 pages
File Size : 46,9 Mb
Release : 1995
Category : Language Arts & Disciplines
ISBN : 0262720248

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Language in Action by Johan van Benthem Pdf

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

Johan van Benthem
Essays in Logical Semantics Book PDF

Author : Johan van Benthem
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 53,6 Mb
Release : 2012-12-06
Category : Language Arts & Disciplines
ISBN : 9789400945401

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Essays in Logical Semantics by Johan van Benthem Pdf

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

Johan F.A.K. van Benthem,Alice ter Meulen
Handbook of Logic and Language Book PDF

Author : Johan F.A.K. van Benthem,Alice ter Meulen
Publisher : Elsevier
Page : 1169 pages
File Size : 44,9 Mb
Release : 2010-12-17
Category : Mathematics
ISBN : 9780444537270

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Handbook of Logic and Language by Johan F.A.K. van Benthem,Alice ter Meulen Pdf

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

J. Michael Dunn on Information Based Logics

Katalin Bimbo
J Michael Dunn on Information Based Logics Book PDF

Author : Katalin Bimbo
Publisher : Springer
Page : 436 pages
File Size : 49,6 Mb
Release : 2016-04-02
Category : Philosophy
ISBN : 9783319293004

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J. Michael Dunn on Information Based Logics by Katalin Bimbo Pdf

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.

Dynamic Epistemic Logic

Hans van Ditmarsch,Wiebe van der Hoek,Barteld Kooi
Dynamic Epistemic Logic Book PDF

Author : Hans van Ditmarsch,Wiebe van der Hoek,Barteld Kooi
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 43,6 Mb
Release : 2007-05-06
Category : Philosophy
ISBN : 9781402058394

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Dynamic Epistemic Logic by Hans van Ditmarsch,Wiebe van der Hoek,Barteld Kooi Pdf

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

Johan F. A. K. van Benthem
A Manual of Intensional Logic Book PDF

Author : Johan F. A. K. van Benthem
Publisher : Center for the Study of Language and Information Publications
Page : 145 pages
File Size : 53,6 Mb
Release : 1988-07-01
Category : Mathematics
ISBN : 0937073296

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A Manual of Intensional Logic by Johan F. A. K. van Benthem Pdf

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 Philosophical Logic

Dov M. Gabbay,Franz Guenthner
Handbook of Philosophical Logic Book PDF

Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer
Page : 377 pages
File Size : 44,5 Mb
Release : 2018-10-19
Category : Philosophy
ISBN : 9783319977553

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Handbook of Philosophical Logic by Dov M. Gabbay,Franz Guenthner Pdf

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.

Dynamic Logic. New Trends and Applications

Manuel A. Martins,Igor Sedlár
Dynamic Logic New Trends and Applications Book PDF

Author : Manuel A. Martins,Igor Sedlár
Publisher : Springer Nature
Page : 304 pages
File Size : 48,9 Mb
Release : 2020-12-21
Category : Computers
ISBN : 9783030658403

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Dynamic Logic. New Trends and Applications by Manuel A. Martins,Igor Sedlár Pdf

This book constitutes the proceedings of the Third International Workshop on Dynamic Logic, DaLí 2019, held in Prague, Czech Republic in October 2020. Due to COVID-19 the workshop has been held online. The 17 full papers presented together with 6 short papers were carefully reviewed and selected from 31 submissions. The theoretical relevance and practical potential of dynamic logic is a topic of interest in a number of scientific venues, from wide-scope software engineering conferences to modal logic specific events. The DaLí 2020 workshop is exclusively dedicated to Dynamic logic and aims at filling this gap and creating a heterogeneous community of colleagues, from Academia to Industry, from Mathematics to Computer Science.

Models of Strategic Reasoning

Johan van Benthem,Sujata Ghosh,Rineke Verbrugge
Models of Strategic Reasoning Book PDF

Author : Johan van Benthem,Sujata Ghosh,Rineke Verbrugge
Publisher : Springer
Page : 333 pages
File Size : 54,7 Mb
Release : 2016-01-08
Category : Mathematics
ISBN : 9783662485408

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Models of Strategic Reasoning by Johan van Benthem,Sujata Ghosh,Rineke Verbrugge Pdf

Strategic behavior is the key to social interaction, from the ever-evolving world of living beings to the modern theatre of designed computational agents. Strategies can make or break participants’ aspirations, whether they are selling a house, playing the stock market, or working toward a treaty that limits global warming. This book aims at understanding the phenomenon of strategic behavior in its proper width and depth. A number of experts have combined forces in order to create a comparative view of the different frameworks for strategic reasoning in social interactions that have been developed in game theory, computer science, logic, linguistics, philosophy, and cognitive and social sciences. The chapters are organized in three topic-based sections, namely reasoning about games; formal frameworks for strategies; and strategies in social situations. The book concludes with a discussion on the future of logical studies of strategies.