Handbook of Modal Logic

Handbook of Modal Logic
Author: Patrick Blackburn,Johan F.A.K. van Benthem,Frank Wolter
Publsiher: Elsevier
Total Pages: 1260
Release: 2006-11-03
ISBN: 9780080466668
Category: Mathematics
Language: EN, FR, DE, ES & NL

Handbook of Modal Logic Book Excerpt:

The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners approaching the subject for the first time, and advanced articles, which will help those already familiar with the field to deepen their expertise. Please visit: http://people.uleth.ca/~woods/RedSeriesPromo_WP/PubSLPR.html - Compact modal logic reference - Computational approaches fully discussed - Contemporary applications of modal logic covered in depth

Modal Logic

Modal Logic
Author: Patrick Blackburn,Maarten de Rijke,Yde Venema
Publsiher: Cambridge University Press
Total Pages: 554
Release: 2002-08-22
ISBN: 9780521527149
Category: Computers
Language: EN, FR, DE, ES & NL

Modal Logic Book Excerpt:

A 2001 graduate text on modal logic, a field which has caught the attention of computer scientists, economists and computational linguists.

Neighborhood Semantics for Modal Logic

Neighborhood Semantics for Modal Logic
Author: Eric Pacuit
Publsiher: Springer
Total Pages: 154
Release: 2017-11-15
ISBN: 3319671499
Category: Philosophy
Language: EN, FR, DE, ES & NL

Neighborhood Semantics for Modal Logic 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.

Handbook of Philosophical Logic

Handbook of Philosophical Logic
Author: Dov M. Gabbay,Franz Guenthner
Publsiher: Springer Science & Business Media
Total Pages: 412
Release: 2013-06-29
ISBN: 9401704546
Category: Philosophy
Language: EN, FR, DE, ES & NL

Handbook of Philosophical Logic Book Excerpt:

It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic artiele in the Encyelopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook 0/ Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook 0/ Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence cireles. These areas were under increasing commercial press ure to provide devices which help and/or replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.

Logic Language Information and Computation

Logic  Language  Information  and Computation
Author: Lev D. Beklemishev,Ruy de Queiroz
Publsiher: Springer Science & Business Media
Total Pages: 311
Release: 2011-05-02
ISBN: 364220919X
Category: Mathematics
Language: EN, FR, DE, ES & NL

Logic Language Information and Computation Book Excerpt:

This book constitutes the refereed proceedings of the 18th Workshop on Logic, Language, Information and Communication, WoLLIC 2011, held in Philadelphia, PA, USA, in May 2011. The 21 revised full papers presented were carefully reviewed and selected from 35 submissions. Among the topics covered are various aspects of mathematical logic, computer science logics, philosophical logics, such as complexity theory, model theory, partial order, Hoare logics, hybrid logics, Turing machines, etc.

Modal Logic for Philosophers

Modal Logic for Philosophers
Author: James W. Garson
Publsiher: Cambridge University Press
Total Pages: 135
Release: 2013-11-25
ISBN: 1107512301
Category: Philosophy
Language: EN, FR, DE, ES & NL

Modal Logic for Philosophers Book Excerpt:

This book on modal logic is especially designed for philosophy students. It provides an accessible yet technically sound treatment of modal logic and its philosophical applications. Every effort is made to simplify the presentation by using diagrams instead of more complex mathematical apparatus. These and other innovations provide philosophers with easy access to a rich variety of topics in modal logic, including a full coverage of quantified modal logic, non-rigid designators, definite descriptions, and the de-re de-dicto distinction. Discussion of philosophical issues concerning the development of modal logic is woven into the text. The book uses natural deduction systems, which are widely regarded as the easiest to teach and use. It also includes a diagram technique that extends the method of truth trees to modal logic. This provides a foundation for a novel method for showing completeness that is easy to extend to quantifiers. This second edition contains a new chapter on logics of conditionals, an updated and expanded bibliography, and is updated throughout.

The Routledge Handbook of Modality

The Routledge Handbook of Modality
Author: Otávio Bueno,Scott A. Shalkowski
Publsiher: Routledge
Total Pages: 416
Release: 2020-12-30
ISBN: 1317585283
Category: Philosophy
Language: EN, FR, DE, ES & NL

The Routledge Handbook of Modality Book Excerpt:

Modality - the question of what is possible and what is necessary - is a fundamental area of philosophy and philosophical research. The Routledge Handbook of Modality is an outstanding reference source to the key topics, problems and debates in this exciting subject and is the first collection of its kind. Comprising thirty-five chapters by a team of international contributors the Handbook is divided into seven clear parts: worlds and modality essentialism, ontological dependence, and modality modal anti-realism epistemology of modality modality in science modality in logic and mathematics modality in the history of philosophy. Within these sections the central issues, debates and problems are examined, including possible worlds, essentialism, counterfactuals, ontological dependence, modal fictionalism, deflationism, the integration challenge, conceivability, a priori knowledge, laws of nature, natural kinds, and logical necessity. The Routledge Handbook of Modality is essential reading for students and researchers in epistemology, metaphysics and philosophy of language. It will also be very useful for those in related fields in philosophy such as philosophy of mathematics, logic and philosophy of science.

First Steps in Modal Logic

First Steps in Modal Logic
Author: Sally Popkorn
Publsiher: Cambridge University Press
Total Pages: 314
Release: 1994-12-08
ISBN: 9780521464826
Category: Mathematics
Language: EN, FR, DE, ES & NL

First Steps in Modal Logic Book Excerpt:

This is a first course in propositional modal logic, suitable for mathematicians, computer scientists and philosophers. Emphasis is placed on semantic aspects, in the form of labelled transition structures, rather than on proof theory.

Handbook of Logic and Language

Handbook of Logic and Language
Author: Johan F.A.K. van Benthem,Alice ter Meulen
Publsiher: Elsevier
Total Pages: 1168
Release: 2010-12-17
ISBN: 9780444537270
Category: Mathematics
Language: EN, FR, DE, ES & NL

Handbook of Logic and Language 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

Logical Dynamics of Information and Interaction

Logical Dynamics of Information and Interaction
Author: Johan van Benthem
Publsiher: Cambridge University Press
Total Pages: 135
Release: 2011-09-29
ISBN: 1139500465
Category: Mathematics
Language: EN, FR, DE, ES & NL

Logical Dynamics of Information and Interaction 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.

Hybrid Logic and its Proof Theory

Hybrid Logic and its Proof Theory
Author: Torben Braüner
Publsiher: Springer Science & Business Media
Total Pages: 231
Release: 2010-11-17
ISBN: 9400700024
Category: Philosophy
Language: EN, FR, DE, ES & NL

Hybrid Logic and its Proof Theory Book Excerpt:

This is the first book-length treatment of hybrid logic and its proof-theory. Hybrid logic is an extension of ordinary modal logic which allows explicit reference to individual points in a model (where the points represent times, possible worlds, states in a computer, or something else). This is useful for many applications, for example when reasoning about time one often wants to formulate a series of statements about what happens at specific times. There is little consensus about proof-theory for ordinary modal logic. Many modal-logical proof systems lack important properties and the relationships between proof systems for different modal logics are often unclear. In the present book we demonstrate that hybrid-logical proof-theory remedies these deficiencies by giving a spectrum of well-behaved proof systems (natural deduction, Gentzen, tableau, and axiom systems) for a spectrum of different hybrid logics (propositional, first-order, intensional first-order, and intuitionistic).

Handbook of Philosophical Logic

Handbook of Philosophical Logic
Author: Dov M. Gabbay,Franz Guenthner
Publsiher: Springer Science & Business Media
Total Pages: 269
Release: 2013-08-04
ISBN: 9400766009
Category: Philosophy
Language: EN, FR, DE, ES & NL

Handbook of Philosophical Logic Book Excerpt:

This second edition of the Handbook of Philosophical Logic reflects great changes in the landscape of philosophical logic since the first edition. It gives readers an idea of that landscape and its relation to computer science and formal language and artificial intelligence. It shows how the increased demand for philosophical logic from computer science and artificial intelligence and computational linguistics accelerated the development of the subject directly and indirectly. This development in turn, directly pushed research forward, stimulated by the needs of applications. New logic areas became established and old areas were enriched and expanded. At the same time, it socially provided employment for generations of logicians residing in computer science, linguistics and electrical engineering departments which of course helped keep the logic community to thrive. The many contributors to this Handbook are active in these application areas and are among the most famous leading figures of applied philosophical logic of our times. ​

Handbook of Spatial Logics

Handbook of Spatial Logics
Author: Marco Aiello,Ian Pratt-Hartmann,Johan van Benthem
Publsiher: Springer Science & Business Media
Total Pages: 1058
Release: 2007-09-04
ISBN: 1402055870
Category: Science
Language: EN, FR, DE, ES & NL

Handbook of Spatial Logics 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.

Johan van Benthem on Logic and Information Dynamics

Johan van Benthem on Logic and Information Dynamics
Author: Alexandru Baltag,Sonja Smets
Publsiher: Springer
Total Pages: 1027
Release: 2014-08-27
ISBN: 3319060252
Category: Philosophy
Language: EN, FR, DE, ES & NL

Johan van Benthem on Logic and Information Dynamics 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.

Handbook of Philosophical Logic

Handbook of Philosophical Logic
Author: Dov M. Gabbay,Franz Guenthner
Publsiher: Springer Science & Business Media
Total Pages: 354
Release: 2012-12-06
ISBN: 9401003874
Category: Philosophy
Language: EN, FR, DE, ES & NL

Handbook of Philosophical Logic Book Excerpt:

The eighth volume of the Second Edition contains major contributions on the Logic of Questions, Sequent Systems for Modal Logics, Deontic Logic as well as Deontic Logic and Contrary-to-duties. Audience: Students and researchers whose work or interests involve philosophical logic and its applications.

Logic Language and Computation

Logic  Language  and Computation
Author: Nick Bezhanishvili,Sebastian Löbner,Kerstin Schwabe,Luca Spada
Publsiher: Springer
Total Pages: 360
Release: 2011-07-18
ISBN: 3642223036
Category: Computers
Language: EN, FR, DE, ES & NL

Logic Language and Computation Book Excerpt:

Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the 8th International Tbilisi Symposium on Logic, Language, and Computation, TbiLLC 2009, held in Bakuriani, Georgia, in September 2009. The 20 revised full papers included in the book were carefully reviewed and selected from numerous presentations given at the symposium. The focus of the papers is on the following topics: natural language syntax, semantics, and pragmatics; constructive, modal and algebraic logic; linguistic typology and semantic universals; logics for artificial intelligence; information retrieval, query answer systems; logic, games, and formal pragmatics; language evolution and learnability; computational social choice; historical linguistics, history of logic.

Hajnal Andr ka and Istv n N meti on Unity of Science

Hajnal Andr  ka and Istv  n N  meti on Unity of Science
Author: Judit Madarász,Gergely Székely
Publsiher: Springer Nature
Total Pages: 517
Release: 2021-05-31
ISBN: 3030641872
Category: Philosophy
Language: EN, FR, DE, ES & NL

Hajnal Andr ka and Istv n N meti on Unity of Science Book Excerpt:

This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.

Modality Semantics and Interpretations

Modality  Semantics and Interpretations
Author: Shier Ju,Hu Liu,Hiroakira Ono
Publsiher: Springer
Total Pages: 188
Release: 2015-07-03
ISBN: 3662471973
Category: Philosophy
Language: EN, FR, DE, ES & NL

Modality Semantics and Interpretations Book Excerpt:

This contributed volume includes both theoretical research on philosophical logic and its applications in artificial intelligence, mostly employing the concepts and techniques of modal logic. It collects selected papers presented at the Second Asia Workshop on Philosophical Logic, held in Guangzhou, China in 2014, as well as a number of invited papers by specialists in related fields. The contributions represent pioneering philosophical logic research in Asia.

Lectures on Logic and Computation

Lectures on Logic and Computation
Author: Nick Bezhanishvili,Valentin Goranko
Publsiher: Springer
Total Pages: 265
Release: 2012-06-23
ISBN: 3642314856
Category: Computers
Language: EN, FR, DE, ES & NL

Lectures on Logic and Computation Book Excerpt:

The European Summer School in Logic, Language and Information (ESSLLI) is organized every year by the Association for Logic, Language and Information (FoLLI) in different sites around Europe. The main focus of ESSLLI is on the interface between linguistics, logic and computation. ESSLLI offers foundational, introductory and advanced courses, as well as workshops, covering a wide variety of topics within the three areas of interest: Language and Computation, Language and Logic, and Logic and Computation. During two weeks, around 50 courses and 10 workshops are offered to the attendants, each of 1.5 hours per day during a five days week, with up to seven parallel sessions. ESSLLI also includes a student session (papers and posters by students only, 1.5 hour per day during the two weeks) and four evening lectures by senior scientists in the covered areas. The 6 course notes were carefully reviewed and selected. The papers are organized in topical sections on computational complexity, multi-agant systems, natural language processing, strategies in games and formal semantics.

New Developments in Legal Reasoning and Logic

New Developments in Legal Reasoning and Logic
Author: Shahid Rahman,Matthias Armgardt,Hans Christian Nordtveit Kvernenes
Publsiher: Springer Nature
Total Pages: 433
Release: 2021-12-16
ISBN: 3030700844
Category: Philosophy
Language: EN, FR, DE, ES & NL

New Developments in Legal Reasoning and Logic Book Excerpt:

This book intends to unite studies in different fields related to the development of the relations between logic, law and legal reasoning. Combining historical and philosophical studies on legal reasoning in Civil and Common Law, and on the often neglected Arabic and Talmudic traditions of jurisprudence, this project unites these areas with recent technical developments in computer science. This combination has resulted in renewed interest in deontic logic and logic of norms that stems from the interaction between artificial intelligence and law and their applications to these areas of logic. The book also aims to motivate and launch a more intense interaction between the historical and philosophical work of Arabic, Talmudic and European jurisprudence. The publication discusses new insights in the interaction between logic and law, and more precisely the study of different answers to the question: what role does logic play in legal reasoning? Varying perspectives include that of foundational studies (such as logical principles and frameworks) to applications, and historical perspectives.