Noise strategies for improving local search
AAAI '94 Proceedings of the twelfth national conference on Artificial intelligence (vol. 1)
Improvements to propositional satisfiability search algorithms
Improvements to propositional satisfiability search algorithms
Experimental results on the crossover point in random 3-SAT
Artificial Intelligence - Special volume on frontiers in problem solving: phase transitions and complexity
On the complexity of unsatisfiability proofs for random k-CNF formulas
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Boosting combinatorial search through randomization
AAAI '98/IAAI '98 Proceedings of the fifteenth national/tenth conference on Artificial intelligence/Innovative applications of artificial intelligence
A constraint-based approach to narrow search trees for satisfiability
Information Processing Letters
On the complexity of choosing the branching literal in DPLL
Artificial Intelligence
A machine program for theorem-proving
Communications of the ACM
Minimum Propositional Proof Length is NP-Hard to Linearly Approximate
MFCS '98 Proceedings of the 23rd International Symposium on Mathematical Foundations of Computer Science
Integrating Equivalency Reasoning into Davis-Putnam Procedure
Proceedings of the Seventeenth National Conference on Artificial Intelligence and Twelfth Conference on Innovative Applications of Artificial Intelligence
Ten challenges in propositional reasoning and search
IJCAI'97 Proceedings of the 15th international joint conference on Artifical intelligence - Volume 1
Heuristics based on unit propagation for satisfiability problems
IJCAI'97 Proceedings of the 15th international joint conference on Artifical intelligence - Volume 1
A backbone-search heuristic for efficient solving of hard 3-SAT formulae
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
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We study the limit of branching rules in the Davis-Logemann-Loveland (DLL) procedure for hard random unsatisfiable 3-SAT and try to answer the question: what would be the search tree size if every branching variable were the best possible? The issue is of practical interest because much effort has been spent in designing better branching rules. Our experimental results suggest that the branching rules used in the current state-of-the-art DLL procedures are probably already close to the optimal for hard random unsatisfiable 3-SAT, and in particular, that the first of the 10 challenges for propositional reasoning and search formulated by Selman et al. (Proceedings of IJCAI-97, Nagoya, Aichi, Japan, August 1997), namely, proving that a hard 700 variable random 3-SAT formula is unsatisfiable, should be very difficult to answer by a DLL procedure unless something significantly different from branching can be made effective for hard random unsatisfiable 3-SAT.