A comparative study of two Boolean formulations of FPGA detailed routing constraints
Proceedings of the 2001 international symposium on Physical design
Chaff: engineering an efficient SAT solver
Proceedings of the 38th annual Design Automation Conference
Boosting complete techniques thanks to local search methods
Annals of Mathematics and Artificial Intelligence
Finding all minimal unsatisfiable subsets
Proceedings of the 5th ACM SIGPLAN international conference on Principles and practice of declaritive programming
AMUSE: a minimally-unsatisfiable subformula extractor
Proceedings of the 41st annual Design Automation Conference
MUP: a minimal unsatisfiability prover
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
Tracking MUSes and Strict Inconsistent Covers
FMCAD '06 Proceedings of the Formal Methods in Computer Aided Design
Automatic abstraction without counterexamples
TACAS'03 Proceedings of the 9th international conference on Tools and algorithms for the construction and analysis of systems
On finding all minimally unsatisfiable subformulas
SAT'05 Proceedings of the 8th international conference on Theory and Applications of Satisfiability Testing
A branch-and-bound algorithm for extracting smallest minimal unsatisfiable formulas
SAT'05 Proceedings of the 8th international conference on Theory and Applications of Satisfiability Testing
Minimizing counterexample with unit core extraction and incremental SAT
VMCAI'05 Proceedings of the 6th international conference on Verification, Model Checking, and Abstract Interpretation
Deriving small unsatisfiable cores with dominators
CAV'06 Proceedings of the 18th international conference on Computer Aided Verification
Discovery of minimal unsatisfiable subsets of constraints using hitting set dualization
PADL'05 Proceedings of the 7th international conference on Practical Aspects of Declarative Languages
A scalable algorithm for minimal unsatisfiable core extraction
SAT'06 Proceedings of the 9th international conference on Theory and Applications of Satisfiability Testing
Local search for unsatisfiability
SAT'06 Proceedings of the 9th international conference on Theory and Applications of Satisfiability Testing
Extracting minimum unsatisfiable cores with a greedy genetic algorithm
AI'06 Proceedings of the 19th Australian joint conference on Artificial Intelligence: advances in Artificial Intelligence
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Explaining the causes of infeasibility of Boolean formulas has many practical applications in various fields. We are generally interested in a small explanation of unsatisfiability that excludes irrelevant information. A small unsatisfiable core provides a succinct explanation of infeasibility and is valuable for applications. In recent years the problem of finding unsatisfiable subformulas has been addressed frequently by research works, which are mostly based on the SAT solvers with DPLL backtrack-search algorithm. However little attention has been concentrated on extraction of unsatisfiable cores using incomplete methods. In this paper, we propose a heuristic-based local search algorithm to derive unsatisfiable cores. This approach directly constructs the resolution sequence for proving unsatisfiability with a local search procedure, and then extracts small unsatisfiable cores from the sequence. We report and analyze the experimental results on benchmarks.