Exploiting historical relationships of clauses and variables in local search for satisfiability

Authors:
Chu Min Li;Wanxia Wei;Yu Li
Affiliations:
MIS, Université de Picardie Jules Verne, France;MIS, Université de Picardie Jules Verne, France;MIS, Université de Picardie Jules Verne, France
Venue:
SAT'12 Proceedings of the 15th international conference on Theory and Applications of Satisfiability Testing
Year:
2012

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Abstract

Variable properties such as score and age are used to select a variable to flip. The score of a variable x refers to the decrease in the number of unsatisfied clauses if x is flipped. The age of x refers to the number of steps done since the last time when x was flipped. If the best variable according to scores in a randomly chosen unsatisfied clause c is not the youngest in c, Novelty [4] flips this variable. Otherwise, with probability p (noise p), Novelty flips the second best variable, and with probability 1-p, Novelty flips the best variable. Novelty+ [1] randomly flips a variable in c with probability wp and does as Novelty with probability 1-wp. Novelty++ [3] flips the least recently flipped variable (oldest) in c with probability dp, and does as Novelty with probability 1-dp.