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Catalogue Information
Field name	Details
Dewey Class	511.3
Title	Many-Valued Logics ([EBook] :) : 1: Theoretical Foundations / / by Leonard Bolc, Piotr Borowik.
Author	Bolc, Leonard
Added Personal Name	Borowik, Piotr author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1992.
Physical Details	XII, 288 p. : online resource.
ISBN	9783662084946
Summary Note	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.:
Contents note	1 Preliminaries -- 2 Many-Valued Propositional Calculi -- 3 Survey of Three-Valued Propositional Calculi -- 4 Some n-valued Propositional Calculi: A Selection -- 5 Intuitionistic Propositional Calculus -- 6 First-Order Predicate Calculus for Many-Valued Logics -- 7 The Method of Finitely Generated Trees in n-valued Logical Calculi -- 8 Fuzzy Propositional Calculi -- 9 Approximation Logics -- 10 Probability Logics -- References -- Index of Symbols -- Author Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-08494-6
Links to Related Works	Subject References: Artificial intelligence . Artificial Intelligence (incl. Robotics) . Computer logic . Logics and Meanings of Programs . Mathematical logic . Mathematical Logic and Formal Languages . Mathematical Logic and Foundations . Mathematics . Authors: Bolc, Leonard . Borowik, Piotr . Corporate Authors: SpringerLink (Online service) . Classification: 511.3 .

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Many-Valued Logics: 1: Theoretical Foundations /

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