Many-Valued Logics 1

Many-Valued Logics 1

Author: Leonard Bolc

Publisher: Springer Science & Business Media

ISBN: 3540559264

Category: Computers

Page: 288

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Many-valued logics were developed as an attempt to handle philosophical doubts about the "law of excluded middle" in classical logic. The first many-valued formal systems were developed by J. Lukasiewicz in Poland and E.Post in the U.S.A. in the 1920s, and since then the field has expanded dramatically as the applicability of the systems to other philosophical and semantic problems was recognized. Intuitionisticlogic, for example, arose from deep problems in the foundations of mathematics. Fuzzy logics, approximation logics, and probability logics all address questions that classical logic alone cannot answer. All these interpretations of many-valued calculi motivate specific formal systems thatallow detailed mathematical treatment. In this volume, the authors are concerned with finite-valued logics, and especially with three-valued logical calculi. Matrix constructions, axiomatizations of propositional and predicate calculi, syntax, semantic structures, and methodology are discussed. Separate chapters deal with intuitionistic logic, fuzzy logics, approximation logics, and probability logics. These systems all find application in practice, in automatic inference processes, which have been decisive for the intensive development of these logics. This volume acquaints the reader with theoretical fundamentals of many-valued logics. It is intended to be the first of a two-volume work. The second volume will deal with practical applications and methods of automated reasoning using many-valued logics.
Many-Valued Logics 1
Language: en
Pages: 288
Authors: Leonard Bolc, Piotr Borowik
Categories: Computers
Type: BOOK - Published: 1992-11-12 - Publisher: Springer Science & Business Media

Many-valued logics were developed as an attempt to handle philosophical doubts about the "law of excluded middle" in classical logic. The first many-valued formal systems were developed by J. Lukasiewicz in Poland and E.Post in the U.S.A. in the 1920s, and since then the field has expanded dramatically as the
Many-Valued Logics 2
Language: en
Pages: 303
Authors: Leonard Bolc, Piotr Borowik
Categories: Mathematics
Type: BOOK - Published: 2003-10-23 - Publisher: Springer Science & Business Media

Many-valued logics are becoming increasingly important in all areas of computer science. This is the second volume of an authoritative two-volume handbook on many valued logics by two leading figures in the field. While the first volume was mainly concerned with theoretical foundations, this volume emphasizes automated reasoning, practical applications,
Beyond Two: Theory and Applications of Multiple-Valued Logic
Language: en
Pages: 374
Authors: Melvin Fitting, Ewa Orlowska
Categories: Mathematics
Type: BOOK - Published: 2013-06-05 - Publisher: Physica

This volume represents the state of the art for much current research in many-valued logics. Primary researchers in the field are among the authors. Major methodological issues of many-valued logics are treated, as well as applications of many-valued logics to reasoning with fuzzy information. Areas covered include: Algebras of multiple
Handbook of Tableau Methods
Language: en
Pages: 670
Authors: M. D'Agostino, Dov M. Gabbay, Reiner Hähnle, J. Posegga
Categories: Philosophy
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

Recent years have been blessed with an abundance of logical systems, arising from a multitude of applications. A logic can be characterised in many different ways. Traditionally, a logic is presented via the following three components: 1. an intuitive non-formal motivation, perhaps tie it in to some application area 2.
Multiple-Valued Logic
Language: en
Pages: 135
Authors: D. Michael Miller, Mitchell A. Thornton
Categories: Technology & Engineering
Type: BOOK - Published: 2022-05-31 - Publisher: Springer Nature

Multiple Valued Logic: Concepts and Representations begins with a survey of the use ofmultiple-valued logic in several modern application areas including electronic design automation algorithms and circuit design. The mathematical basis and concepts of various algebras and systems of multiple valued logic are provided including comparisons among various systems and