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Fuzzy Logic and the Resolution Principle [PDF]

open access: possibleJournal of the ACM, 1972
ABSTRACT The relationship between fuzzy logic and two-valued logic in the context of the first order predicate calculus is discussed. It is proved that if every clause in a set of clauses is something more than a “half-truth” and the most reliable clause has truth-value a and the most unreliable clause has truth-value b , then we are guaranteed ...
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Ordered Resolution for Coalition Logic

2015
In this paper we introduce a calculus based on ordered resolution for Coalition Logic (CL), improving our previous approach based on unrefined resolution, and discuss the problems associated with imposing an ordering refinement in the context of CL. The calculus operates on ‘coalition problems’, a normal form for CL where we use coalition vectors that ...
Ullrich Hustadt   +4 more
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Lattices of resolution logics

Proceedings of 24th International Symposium on Multiple-Valued Logic (ISMVL'94), 2002
We study classes of logical calculi which have the same inconsistent sets of formulas. We investigate the algebraic structure of these classes as well as general properties of logical calculi in these classes in the context of the search for efficient resolution based automated reasoning methods. >
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An essay on resolution logics

Studia Logica, 1993
In two papers of the author [Inf. Comput. 96, No. 2, 225-244 (1992; Zbl 0755.03006), J. Exp. Theor. Artif. Intell. 3, 17-32 (1991; Zbl 0723.03004)] the term `resolution logic' is introduced to denote a logical system for which a refutationally complete resolution proof system can be comstructed or, putting it differently, to denote a logical calculus ...
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Resolution with Order and Selection for Hybrid Logics

Journal of Automated Reasoning, 2010
In the paper the labeled resolution calculus for hybrid logics is presented. The authors show that the general framework of saturation-based reasoning for first-order logic with equality can be adapted to calculi for other logics. They show then that the calculus presented is complete for any admissible order and selection function. It gives a decision
Carlos Areces, Daniel Gorín
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Extending resolution to resolution logics

Journal of Experimental & Theoretical Artificial Intelligence, 1991
Abstract In previous papers (O'Hearn & Stachniak 1989b, Stachniak & O'Hearn 1990, Stachniak 1989,1990a) we proposed an algebraic methodological framework for the introduction and analysis of resolution proof systems for finitely-valued logical calculi. In the present paper we extend this approach to a wider class of the so-called resolution logics.
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