Beyond Two: Theory and Applications of Multiple-Valued Logic

Melvin Fitting, Ewa Orlowska (Herausgeber)

Buch | Softcover

X, 374 Seiten

2010 | 1. Softcover reprint of hardcover 1st ed. 2003
Physica (Verlag)
978-3-7908-2522-0 (ISBN)

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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.

Algebras of Multiple-valued Logics and Their Applications.- Algebras for Hazard Detection.- An Abstract Algebraic Logic View of Some Mutiple-valued Logics.- Representation Theorems and the Semantics of Non-classical Logics, and Applications to Automated Theorem Proving.- An Algebraic Approach to Entropy and its Generalizations - A Survey.- Proof Theory and Automated Deduction in Multiple-valued Logics.- Classical Gentzen-type Methods in Propositional Many-valued Logics.- Sequent of Relations Calculi: A Framework for Analytic Deduction in Many-valued Logics.- Polarity-based Stochastic Local Search Algorithms for Non-clausal Satisfiability.- Model Checking for Multi-valued Computation Tree Logics.- Complexity of Many-valued Logics.- Fuzzy Logics and Their Applications.- Ternary Kleenean Non-additive Measures.- On the Hierarchy of t-norm Based Residuated Fuzzy Logics.- A Development of Set Theory in Fuzzy Logic.- A Fuzzy Generalisation of Information Relations.- Multiple-valued Logics for Control Theory and Rational Belief.- Weierstrass Approximation Theorem and ?ukasiewicz Formulas with one Quantified Variable.- A ?ukasiewicz-style Many-valued Similarity Reasoning. Review.- Two Values, Three Values, Many Values, No Values.

Erscheint lt. Verlag	21.10.2010
Reihe/Serie	Studies in Fuzziness and Soft Computing
Zusatzinfo	X, 374 p.
Verlagsort	Heidelberg
Sprache	englisch
Maße	155 x 235 mm
Gewicht	577 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Schlagworte	Algebra • algebraic logic • algorithms • Approximation • automated deduction • Automated Theorem Proving • Complexity • Control • fuzzy • Fuzzy Logic • Logic • Lukasiewicz logic • Many-valued Logic • Multiple-valued logic • Proof • Proof theory • proving • Search Algorithm • Semantics
ISBN-10	3-7908-2522-0 / 3790825220
ISBN-13	978-3-7908-2522-0 / 9783790825220
Zustand	Neuware