Minimizing conflicts: a heuristic repair method for constraint satisfaction and scheduling problems
Artificial Intelligence - Special volume on constraint-based reasoning
Noise strategies for improving local search
AAAI '94 Proceedings of the twelfth national conference on Artificial intelligence (vol. 1)
Local Search Algorithms for SAT: An Empirical Evaluation
Journal of Automated Reasoning
SAT-Based Procedures for Temporal Reasoning
ECP '99 Proceedings of the 5th European Conference on Planning: Recent Advances in AI Planning
A SAT Based Approach for Solving Formulas over Boolean and Linear Mathematical Propositions
CADE-18 Proceedings of the 18th International Conference on Automated Deduction
Stochastic Local Search: Foundations & Applications
Stochastic Local Search: Foundations & Applications
CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
Improving Variable Selection Process in Stochastic Local Search for Propositional Satisfiability
SAT '09 Proceedings of the 12th International Conference on Theory and Applications of Satisfiability Testing
Boosting local search thanks to CDCL
LPAR'10 Proceedings of the 17th international conference on Logic for programming, artificial intelligence, and reasoning
UBCSAT: an implementation and experimentation environment for SLS algorithms for SAT and MAX-SAT
SAT'04 Proceedings of the 7th international conference on Theory and Applications of Satisfiability Testing
A fast linear-arithmetic solver for DPLL(T)
CAV'06 Proceedings of the 18th international conference on Computer Aided Verification
Fast and flexible difference constraint propagation for DPLL(T)
SAT'06 Proceedings of the 9th international conference on Theory and Applications of Satisfiability Testing
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A dominant approach to Satisfiability Modulo Theories (SMT) relies on the integration of a Conflict-Driven-Clause-Learning (CDCL) SAT solver and of a decision procedure able to handle sets of atomic constraints in the underlying theory T (T -solver). In pure SAT, however, Stochastic Local-Search (SLS) procedures sometimes are competitive with CDCL SAT solvers on satisfiable instances. Thus, it is a natural research question to wonder whether SLS can be exploited successfully also inside SMT tools. In this paper we investigate this issue. We first introduce a general procedure for integrating a SLS solver of the WalkSAT family with a T -solver. Then we present a group of techniques aimed at improving the synergy between these two components. Finally we implement all these techniques into a novel SLSbased SMT solver for the theory of linear arithmetic over the rationals, combining UBCSAT/UBCSAT++ and MathSAT, and perform an empirical evaluation on satisfiable instances. The results confirm the potential of the approach.