Resolution Methods for Many - Valued CNF Formulas
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منابع مشابه
Resolution and Clause Learning for Multi-Valued CNF Formulas
Conflict-directed clause learning (CDCL) is the basis of SAT solvers with impressive performance on many problems. CDCL with restarts (CDCL-R) has been shown to have essentially the same reasoning power as unrestricted resolution (formally, they p-Simulate each other). We show that this property generalizes to multi-valued CNF formulas. In particular, for Signed (or Multi-Valued) CNF formulas, ...
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Motivated by the question of how to e ciently do model finding or theorem proving for multi-valued logics, we study the relative reasoning power of resolution proofs and a natural family of model-finding algorithms for Signed CNF Formulas. The conflict-driven clause learning (CDCL) algorithm for SAT is the basis of model finding software systems (SAT solvers) that have impressive performance on...
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We first define a mapping from CSP to many-valued SAT which allows to solve CSP instances with many-valued SAT solvers. Second, we define a new many-valued resolution rule and prove that it is refutation complete for many-valued CNF formulas and, moreover, enforces CSP (i, j)-consistency when applied to a many-valued SAT encoding of a CSP. Instances of our rule enforce well-known local consiste...
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s of the Talks In the order in which the talks were given. Walter Carnielli – Non-deterministic Semantics 5 Matthias Baaz – Analytic Calculi for Many-valued Logics 5 Hiroakira Ono – Many-valued Logics as Logics without the Contraction Rule 6 Reiner Hähnle – Proof Theory of Many-valued Logic and Hardware Design 7 Gonzalo Escalada-Imaz – Determining the Truth Degree in Real Time Settings 7 Peter ...
متن کاملUnsatisfiable Linear CNF Formulas Are Large and Complex
We call a CNF formula linear if any two clauses have at most one variable in common. We show that there exist unsatisfiable linear k-CNF formulas with at most 4k4 clauses, and on the other hand, any linear k-CNF formula with at most 4 k 8ek clauses is satisfiable. The upper bound uses probabilistic means, and we have no explicit construction coming even close to it. One reason for this is that ...
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تاریخ انتشار 2002