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Tools and Techniques in Modal Logic

Author : M. Kracht
Publisher : North Holland
Page : 584 pages
File Size : 46,98 MB
Release : 1999-06-17
Category : Computers
ISBN :

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This book treats modal logic as a theory, with several subtheories, such as completeness theory, correspondence theory, duality theory and transfer theory and is intended as a course in modal logic for students who have had prior contact with modal logic and who wish to study it more deeply. It presupposes training in mathematical or logic. Very little specific knowledge is presupposed, most results which are needed are proved in this book.

Handbook of Modal Logic

Author : Patrick Blackburn
Publisher : Elsevier
Page : 1260 pages
File Size : 45,79 MB
Release : 2006-11-03
Category : Mathematics
ISBN : 9780080466668

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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 Logics and Philosophy, Second Edition

Author : Rod Girle
Publisher : McGill-Queen's Press - MQUP
Page : 248 pages
File Size : 48,64 MB
Release : 2017-01-01
Category : Philosophy
ISBN : 0773550755

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The new edition of this widely used and respected textbook includes three new chapters on conditional logic. Other chapters have been revised and updated, making the second edition a fully comprehensive introduction to modal logics and their application. Unlike most modal logic textbooks, which are both forbidding mathematically and short on philosophical discussion, Modal Logics and Philosophy focuses on showing how useful modal logic can be as a tool for formal philosophical analysis. In Part 1, the reader is introduced to some standard systems of modal logic and provided with a series of exercises that encourage proficiency in manipulating these logics. Girle emphasizes possible world semantics for modal logics and its formal method, Jeffrey-style truth-trees, in which standard truth-trees are extended in a simple and transparent way to take possible worlds into account. Part 2 explores the applications of modal logic to philosophical issues such as truth, time, processes, knowledge and belief, and obligation and permission.

Modal Logic

Author : Patrick Blackburn
Publisher : Cambridge University Press
Page : 574 pages
File Size : 33,27 MB
Release : 2002-08-22
Category : Computers
ISBN : 1316101959

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This is an advanced 2001 textbook on modal logic, a field which caught the attention of computer scientists in the late 1970s. Researchers in areas ranging from economics to computational linguistics have since realised its worth. The book is for novices and for more experienced readers, with two distinct tracks clearly signposted at the start of each chapter. The development is mathematical; prior acquaintance with first-order logic and its semantics is assumed, and familiarity with the basic mathematical notions of set theory is required. The authors focus on the use of modal languages as tools to analyze the properties of relational structures, including their algorithmic and algebraic aspects, and applications to issues in logic and computer science such as completeness, computability and complexity are considered. Three appendices supply basic background information and numerous exercises are provided. Ideal for anyone wanting to learn modern modal logic.

Natural Deduction, Hybrid Systems and Modal Logics

Author : Andrzej Indrzejczak
Publisher : Springer Science & Business Media
Page : 515 pages
File Size : 23,99 MB
Release : 2010-07-03
Category : Philosophy
ISBN : 9048187850

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This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.

Modal Logic

Author : Brian F. Chellas
Publisher : Cambridge University Press
Page : 316 pages
File Size : 41,54 MB
Release : 1980-02-29
Category : Mathematics
ISBN : 9780521295154

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An introductory textbook on modal logic the logic of necessity and possibility.

Proof Theory of Modal Logic

Author : Heinrich Wansing
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 40,77 MB
Release : 2013-06-29
Category : Philosophy
ISBN : 9401727988

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Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. It contains many new technical results and presentations of novel proof procedures. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction.

Modal Logics and Philosophy

Author : Rod Girle
Publisher : Routledge
Page : 248 pages
File Size : 28,56 MB
Release : 2009
Category : Philosophy
ISBN : 9781844652082

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Offers a comprehensive introduction to modal logics and their application suitable for course use. This book places its emphasis on showing how useful modal logic can be as a tool for formal philosophical analysis. It explores the applications of modal logic to philosophical issues such as truth, time, processes, and knowledge and belief.

Modal Logic for Open Minds

Author : Johan van Benthem
Publisher :
Page : 402 pages
File Size : 25,52 MB
Release : 2010
Category : Mathematics
ISBN :

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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.