Download Theory and Applications of Satisfiability Testing – SAT by Nadia Creignou, Daniel Le Berre PDF

By Nadia Creignou, Daniel Le Berre

This ebook constitutes the refereed court cases of the nineteenth foreign convention on conception and functions of Satisfiability checking out, SAT 2016, held in Bordeaux, France, in July 2016.

The 31 normal papers, five instrument papers awarded including three invited talks have been rigorously reviewed and chosen from 70 submissions. The papers deal with diversified facets of SAT, together with complexity, satisfiability fixing, satisfiability functions, satisfiability modulop thought, past SAT, quantified Boolean formulation, and dependency QBF.

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Extra info for Theory and Applications of Satisfiability Testing – SAT 2016: 19th International Conference, Bordeaux, France, July 5-8, 2016, Proceedings

Sample text

The study of solution graphs of Boolean formulas has been the object of important research in recent years, especially for the case of random formula instances. It has been observed both empirically and analytically that the solution space breaks in many small connected components as the ratio between variables and clauses in the considered formulas approaches a critical threshold [1,15]. g. [8]). The motivation behind the works of [9,19] was to obtain new information about the connectivity properties of the solution space for different types of Boolean formulas.

S ,j−1 , r1,j , . . , r ,j }, B3j−1 :={xj , r1,j , . . , r ,j }, and B3j :={s1,j , . . , s ,j , r1,j , . . , r ,j }. Ordering the bags Bj with respect to their index yields a path decomposition of G of width 2k − 1. Let us collect the results of the section into one statement. Lemma 1. For every linear code C with a k log(n)×n parity check matrix there is a CNF formula F in variable sets X and Z such that – the solution set of F projected to X is exactly C, – F has size O(kn3 log(n)2 ), and – F has modular pathwidth at most 2k − 1.

N B3j−2 :={s1,j−1 , . . , s ,j−1 , r1,j , . . , r ,j }, B3j−1 :={xj , r1,j , . . , r ,j }, and B3j :={s1,j , . . , s ,j , r1,j , . . , r ,j }. Ordering the bags Bj with respect to their index yields a path decomposition of G of width 2k − 1. Let us collect the results of the section into one statement. Lemma 1. For every linear code C with a k log(n)×n parity check matrix there is a CNF formula F in variable sets X and Z such that – the solution set of F projected to X is exactly C, – F has size O(kn3 log(n)2 ), and – F has modular pathwidth at most 2k − 1.

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