A threshold for unsatisfiability
Journal of Computer and System Sciences
Approximating the unsatisfiability threshold of random formulas
Random Structures & Algorithms
Rigorous results for random (2 + p)-SAT
Theoretical Computer Science - Phase transitions in combinatorial problems
Lower bounds for random 3-SAT via differential equations
Theoretical Computer Science - Phase transitions in combinatorial problems
Upper bounds on the satisfiability threshold
Theoretical Computer Science - Phase transitions in combinatorial problems
Models and thresholds for random constraint satisfaction problems
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
The phase transition in a random hypergraph
Journal of Computational and Applied Mathematics - Special issue: Probabilistic methods in combinatorics and combinatorial optimization
A perspective on certain polynomial-time solvable classes of satisfiability
Discrete Applied Mathematics
Resolution Complexity of Random Constraints
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
The Resolution Complexity of Random Constraint Satisfaction Problems
FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
An analysis of phase transition in NK landscapes
Journal of Artificial Intelligence Research
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Let Cn,m2,k,t be a random constraint satisfaction problem (CSP) on n binary variables, where m constraints are selected uniformly at random from all the possible k-ary constraints each of which contains exactly t tuples of the values as its restrictions. We establish an upper bound on the constraint tightness threshold for Cn,m2,k,t to have an exponential resolution complexity. The upper bound partly answers the open problem regarding the CSP resolution complexity with the tightness between the existing upper and lower bounds [D. Mitchell, Resolution complexity of random constraints, in: Proceedings Principles and Practices of Constraint Programming--CP 2002, Springer, Berlin, 2002, pp. 295-309].