Automatic Generation of Proof Tactics for Finite-Valued Logics
نویسندگان
چکیده
منابع مشابه
Automatic Generation of Proof Tactics for Finite-Valued Logics
A number of flexible tactic-based logical frameworks are nowadays available that can implement a wide range of mathematical theories using a common higher-order metalanguage. Used as proof assistants, one of the advantages of such powerful systems resides in their responsiveness to extensibility of their reasoning capabilities, being designed over rule-based programming languages that allow the...
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Preface Many-valued logic is not much younger than the whole field of symbolic logic. It was introduced in the early twenties of this century by Lukasiewicz [1920] and Post [1921] and has since developed into a very large area of research. Most of the early work done has concentrated on problems of axiomatizability on the one hand, and algebraical/model theoretic investigations on the other. Th...
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We extend the methodology in Baaz and Fermüller (1999) [5] to systematically construct analytic calculi for semi-projective logics-a large family of (propositional) locally finite many-valued logics. Our calculi, defined in the framework of sequents of relations, are proof search oriented and can be used to settle the computational complexity of the formalized logics. As a case study we derive ...
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Classical Logic is bivalent in that it admits exactly two truth-values: the true and the false. Many-valued logics, in contrast, allow for the consideration of arbitrarily large classes of truth-values. To export the canonical notion of entailment to the realm of many-valuedness, the trick is to characterize any such class of truth-values by saying that some of these values are ‘designated’. On...
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ژورنال
عنوان ژورنال: Electronic Proceedings in Theoretical Computer Science
سال: 2010
ISSN: 2075-2180
DOI: 10.4204/eptcs.21.8