Beyond Two: Theory and Applications of Multiple-Valued Logic

Portada
Melvin Fitting, Ewa Orlowska
Springer Science & Business Media, 9 de gen. 2003 - 374 pàgines
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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Continguts

Algebras for Hazard Detection
3
An Abstract Algebraic Logic View of Some Mutiplevalued Logics
25
Representation Theorems and the Semantics of Nonclassical Logics and Applications to Automated Theorem Proving
59
An Algebraic Approach to Entropy and its Generalizations A Survey
101
Proof Theory and Automated Deduction in Multiplevalued Logics
115
Classical Gentzentype Methods in Propositional Manyvalued Logics
117
Sequent of Relations Calculi A Framework for Analytic Deduction in Manyvalued Logics
157
Polaritybased Stochastic Local Search Algorithms for Nonclausal Satisfiability
181
Fuzzy Logics and Their Applications
235
Chapter 10 Ternary Kleenean Nonadditive Measures
237
On the Hierarchy of tnorm Based Residuated Fuzzy Logics
251
A Development of Set Theory in Fuzzy Logic
273
A Fuzzy Generalisation of Information Relations
287
Multiplevalued Logics for Control Theory and Rational Belief
313
Weierstrass Approximation Theorem and Lukasiewicz Formulas with one Quantified Variable
315
A Lukasiewiczstyle Manyvalued Similarity Reasoning Review
337

Model Checking for Multivalued Computation Tree Logics
193
Chapter 9 Complexity of Manyvalued Logics
211
Two Values Three Values Many Values No Values
349
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