Beyond Two

Theory and Applications of Multiple-Valued Logic

By: Melvin Fitting (Editor), Ewa Orlowska (Editor)

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Hardcover | 9 January 2003

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388 Pages

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23.5 x 15.88 x 2.54

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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 valued logics and their applications, proof theory and automated deduction in multiple valued logics, fuzzy logics and their applications, and multiple valued logics for control theory and rational belief.

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Algebras of Multiple-valued Logics and Their Applications	p. 1
Algebras for Hazard Detection	p. 3
An Abstract Algebraic Logic View of Some Multiple-valued Logics	p. 25
Representation Theorems and the Semantics of Non-classical Logics, and Applications to Automated Theorem Proving	p. 59
An Algebraic Approach to Entropy and its Generalizations - A Survey	p. 101
Proof Theory and Automated Deduction in Multiple-valued Logics	p. 115
Classical Gentzen-type Methods in Propositional Many-valued Logics	p. 117
Sequent of Relations Calculi: A Framework for Analytic Deduction in Many-valued Logics	p. 157
Polarity-based Stochastic Local Search Algorithms for Non-clausal Satisfiability	p. 181
Model Checking for Multi-valued Computation Tree Logics	p. 193
Complexity of Many-valued Logics	p. 211
Fuzzy Logics and Their Applications	p. 235
Ternary Kleenean Non-additive Measures	p. 237
On the Hierarchy of t-norm Based Residuated Fuzzy Logics	p. 251
A Development of Set Theory in Fuzzy Logic	p. 273
A Fuzzy Generalisation of Information Relations	p. 287
Multiple-valued Logics for Control Theory and Rational Belief	p. 313
Weierstrass Approximation Theorem and Lukasiewicz Formulas with one Quantified Variable	p. 315
A Lukasiewicz-style Many-valued Similarity Reasoning. Review	p. 337
Two Values, Three Values, Many Values, No Values	p. 349
Table of Contents provided by Blackwell. All Rights Reserved.

Beyond Two

Theory and Applications of Multiple-Valued Logic

At a Glance

Hardcover

Shipping

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