A machine program for theorem-proving
Communications of the ACM
A sharp threshold in proof complexity
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
The Efficiency of Resolution and Davis--Putnam Procedures
SIAM Journal on Computing
Backdoor Sets for DLL Subsolvers
Journal of Automated Reasoning
An exact algorithm for the minimum dominating clique problem
Theoretical Computer Science
Parameterized Proof Complexity
FOCS '07 Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science
Consistency and random constraint satisfaction models
Journal of Artificial Intelligence Research
Where the really hard problems are
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 1
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Tradeoffs in the complexity of backdoor detection
CP'07 Proceedings of the 13th international conference on Principles and practice of constraint programming
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 1
Threshold dominating cliques in random graphs and interval routing
Journal of Discrete Algorithms
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The study of random instances of NP complete and coNP complete problems has had much impact on our understanding of the nature of hard problems as well as the strength and weakness of well-founded heuristics. This work is part of our effort to extend this line of research to intractable parameterized problems. We consider instances of the threshold dominating clique problem and the weighted satisfiability under some natural instance distribution.We study the threshold behavior of the solution probability and analyze some simple (polynomial-time) algorithms for satisfiable random instances. The behavior of these simple algorithms may help shed light on the observation that small-sized backdoor sets can be effectively exploited by some randomized DPLL-style solvers. We establish lower bounds for a parameterized version of the ordered DPLL resolution proof procedure for unsatisfiable random instances.