Dynamic Epistemic Logic

Dynamic Epistemic Logic PDF Author: Hans van Ditmarsch
Publisher: Springer Science & Business Media
ISBN: 140205839X
Category : Philosophy
Languages : en
Pages : 303

Book Description
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.

Logical Dynamics of Information and Interaction

Logical Dynamics of Information and Interaction PDF Author: Johan van Benthem
Publisher: Cambridge University Press
ISBN: 1139500465
Category : Mathematics
Languages : en
Pages : 387

Book Description
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.

Awareness in Logic and Epistemology

Awareness in Logic and Epistemology PDF Author: Claudia Fernández-Fernández
Publisher: Springer Nature
ISBN: 3030696065
Category : Philosophy
Languages : en
Pages : 142

Book Description
This book creates a conceptual schema that acts as a correlation between Epistemology and Epistemic Logic. It connects both fields and offers a proper theoretical foundation for the contemporary developments of Epistemic Logic regarding the dynamics of information. It builds a bridge between the view of Awareness Justification Internalism, and a dynamic approach to Awareness Logic. The book starts with an introduction to the main topics in Epistemic Logic and Epistemology and reviews the disconnection between the two fields. It analyses three core notions representing the basic structure of the conceptual schema: “Epistemic Awareness”, “Knowledge” and “Justification”. Next, it presents the Explicit Aware Knowledge (EAK) Schema, using a diagram of three ellipses to illustrate the schema, and a formal model based on a neighbourhood-model structure, that shows one concrete application of the EAK-Schema into a logical structure. The book ends by presenting conclusions and final remarks about the uses and applications of the EAK-Schema. It shows that the most important feature of the schema is that it serves both as a theoretical correlate to the dynamic extensions of Awareness Logic, providing it with a philosophical background, and as an abstract conceptual structure for a re-interpretation of Epistemology.

Dynamic Logic. New Trends and Applications

Dynamic Logic. New Trends and Applications PDF Author: Manuel A. Martins
Publisher: Springer Nature
ISBN: 3030658406
Category : Computers
Languages : en
Pages : 304

Book Description
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.

Handbook of Epistemic Logic

Handbook of Epistemic Logic PDF Author: Hans van Ditmarsch
Publisher:
ISBN: 9781848901582
Category : Mathematics
Languages : en
Pages : 676

Book Description
Epistemic logic and, more generally, logics of knowledge and belief, originated with philosophers such as Jaakko Hintikka and David Lewis in the early 1960s. Since then, such logics have played a significant role not only in philosophy, but also in computer science, artificial intelligence, and economics. This handbook reports significant progress in a field that, while more mature, continues to be very active. This book should make it easier for new researchers to enter the field, and give experts a chance to appreciate work in related areas. The book starts with a gentle introduction to the logics of knowledge and belief; it gives an overview of the area and the material covered in the book. The following eleven chapters, each written by a leading researcher (or researchers), cover the topics of only knowing, awareness, knowledge and probability, knowledge and time, the dynamics of knowledge and of belief, model checking, game theory, agency, knowledge and ability, and security protocols. The chapters have been written so that they can be read independently and in any order. Each chapter ends with a section of notes that provides some historical background, including references, and a detailed bibliography.

Neighborhood Semantics for Modal Logic

Neighborhood Semantics for Modal Logic PDF Author: Eric Pacuit
Publisher: Springer
ISBN: 3319671499
Category : Philosophy
Languages : en
Pages : 165

Book Description
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.

Modal Logic for Open Minds

Modal Logic for Open Minds PDF Author: Johan van Benthem
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 402

Book Description
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.

Logic in Games

Logic in Games PDF Author: Johan Van Benthem
Publisher: MIT Press
ISBN: 0262019906
Category : Computers
Languages : en
Pages : 567

Book Description
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.

Changes of Mind

Changes of Mind PDF Author: Neil Tennant
Publisher: Oxford University Press
ISBN: 0199655758
Category : Computers
Languages : en
Pages : 364

Book Description
An account of how a rational agent should revise beliefs in the light of new evidence. Computationally implementable, it provides rigorous mathematical theory of dependency networks and investigates the complexity of algorithms for rational agents revising beliefs.

Epistemic Game Theory

Epistemic Game Theory PDF Author: Andrés Perea
Publisher: Cambridge University Press
ISBN: 1107008913
Category : Business & Economics
Languages : en
Pages : 581

Book Description
The first textbook to explain the principles of epistemic game theory.
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