Computer Science and Multiple-Valued Log
β David C Rine
π Library
π
1977
π Elsevier B.V, North-Holland Pub. Co
π English
β¦ LIBER β¦
π
Beyond Two: Theory and Applications of Multiple-Valued Logic
β Scribed by Janusz Brzozowski, ZoltΓ‘n Γsik, Yaacov Iland (auth.), Professor Dr. Melvin Fitting, Professor Dr. Ewa OrΕowska (eds.)
- Publisher
- Physica-Verlag Heidelberg
- Year
- 2003
- Tongue
- English
- Leaves
- 374
- Series
- Studies in Fuzziness and Soft Computing 114
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
Front Matter....Pages I-X
Front Matter....Pages 1-1
Algebras for Hazard Detection....Pages 3-24
An Abstract Algebraic Logic View of Some Mutiple-valued Logics....Pages 25-57
Representation Theorems and the Semantics of Non-classical Logics, and Applications to Automated Theorem Proving....Pages 59-100
An Algebraic Approach to Entropy and its Generalizations β A Survey....Pages 101-114
Front Matter....Pages 115-115
Classical Gentzen-type Methods in Propositional Many-valued Logics....Pages 117-155
Sequent of Relations Calculi: A Framework for Analytic Deduction in Many-valued Logics....Pages 157-180
Polarity-based Stochastic Local Search Algorithms for Non-clausal Satisfiability....Pages 181-192
Model Checking for Multi-valued Computation Tree Logics....Pages 193-210
Complexity of Many-valued Logics....Pages 211-233
Front Matter....Pages 235-235
Ternary Kleenean Non-additive Measures....Pages 237-250
On the Hierarchy of t-norm Based Residuated Fuzzy Logics....Pages 251-272
A Development of Set Theory in Fuzzy Logic....Pages 273-285
A Fuzzy Generalisation of Information Relations....Pages 287-312
Front Matter....Pages 313-313
Weierstrass Approximation Theorem and Εukasiewicz Formulas with one Quantified Variable....Pages 315-335
A Εukasiewiczβstyle Many-valued Similarity Reasoning. Review....Pages 337-347
Two Values, Three Values, Many Values, No Values....Pages 349-374
β¦ Subjects
Mathematical Logic and Formal Languages; Logics and Meanings of Programs; Mathematics of Computing; Logic Design; Artificial Intelligence (incl. Robotics); Algebra
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