Tractable reasoning via approximation
Artificial Intelligence
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Approximate Inference In Default Logic And Circumscription
Fundamenta Informaticae
The universe of propositional approximations
Theoretical Computer Science - Logic, language, information and computation
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Approximations are used for dealing with problems that are hard, usually NP-hard or coNP-hard. In this paper we describe the notion of approximating classical logic from above and from below, and concentrate in the first. We present the family s1 of logics, and show it performs approximation of classical logic from above. The family s1 can be used for disproving formulas (the SAT-problem) in a local way, concentrating only on the relevant part of a large set of formulas.