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By Peter Calingaert

ISBN-10: 0914894234

ISBN-13: 9780914894230

Assemblers, compilers, and application translation (Computer software program engineering sequence)

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On the other hand, even though there is a polynomial time deterministic algorithm that solves formulas from the order of the polynomial is a monotone increasing function of parameter We give reasons why resolution based SAT-algorithms should have poor performance on this very “easy” class of formulas and provide experimental evidence that this is indeed the case. 1 Introduction In the long run, studying the complexity of proofs in various proof systems of propositional logic is aimed at establishing lower bounds on performance of deterministic algorithms for solving SAT.

A. M. Frieze, S. Suen. Analysis of two simple heuristics on a random instance of k-SAT. J. Comput. System Sci. 53 (1996) 312-355. 9. I. Gent. On the Stupid Algorithm for Satisfiability. APES Technical Report 031998. 10. A. Goerdt, T. Jurdzinski. Some Results On Random Unsatisfiable K-Sat Instances and Approximation Algorithms Applied To Random Structures. Combinatorics, Probability & Computing, Volume 12, 2003. 11. A. Goerdt, M. Krivelevich. Efficient recognition of random unsatisfiable k-SAT instances by spectral methods.

2 Equivalence Checking as Satisfiability Problem In this subsection, we introduce the class that is considered in this paper Definition 9. A disjunction of literals of Boolean variables not containing more than one literal of the same variable is called a clause. A conjunction of clauses is called a conjunctive normal form (CNF). Definition 10. Given a CNF F, the satisfiability problem (SAT) is to find a value assignment to the variables of F for which F evaluates to 1 (also called a satisfying assignment) or to prove that such an assignment does not exist.

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Assemblers, compilers, and program translation by Peter Calingaert

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