Many hard examples for resolution
Journal of the ACM (JACM)
Efficient local search for very large-scale satisfiability problems
ACM SIGART Bulletin
A Computing Procedure for Quantification Theory
Journal of the ACM (JACM)
A Machine-Oriented Logic Based on the Resolution Principle
Journal of the ACM (JACM)
A machine program for theorem-proving
Communications of the ACM
Information and Computation
Resolution versus Search: Two Strategies for SAT
Journal of Automated Reasoning
Resolution is Not Automatizable Unless W[P] is Tractable
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Formal methods for the validation of automotive product configuration data
Artificial Intelligence for Engineering Design, Analysis and Manufacturing
Complete local search for propositional satisfiability
AAAI'04 Proceedings of the 19th national conference on Artifical intelligence
Ten challenges in propositional reasoning and search
IJCAI'97 Proceedings of the 15th international joint conference on Artifical intelligence - Volume 1
GUNSAT: a greedy local search algorithm for unsatisfiability
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Local search for unsatisfiability
SAT'06 Proceedings of the 9th international conference on Theory and Applications of Satisfiability Testing
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Local search is widely applied to satisfiable SAT problems, and on some problem classes outperforms backtrack search. An intriguing challenge posed by Selman, Kautz and McAllester in 1997 is to use it instead to prove unsatisfiability. We design a greedy randomised resolution algorithm called RANGER that will eventually refute any unsatisfiable instance while using only bounded memory. RANGER can refute some problems more quickly than systematic resolution or backtracking with clause learning. We believe that non-systematic but greedy inference is an interesting research direction for powerful proof systems such as general resolution.