We present a generic method for converting any family of unsatisfiable CNF formulas that require large resolution rank into CNF formulas whose refutation requires large rank for p...
Resolution refinements called w-resolution trees with lemmas (WRTL) and with input lemmas (WRTI) are introduced. Dag-like resolution is equivalent to both WRTL and WRTI when there...
Abstract. Refutation proofs can be viewed as a special case of constraint propagation, which is a fundamental technique in solving constraint-satisfaction problems. The generalizat...
Albert Atserias, Phokion G. Kolaitis, Moshe Y. Var...
Abstract. We study – within the framework of propositional proof complexity – the problem of certifying unsatisfiability of CNF formulas under the promise that any satisfiabl...
We propose a proof-theoretic approach for gaining evidence that certain parameterized problems are not fixedparameter tractable. We consider proofs that witness that a given prop...
Stefan S. Dantchev, Barnaby Martin, Stefan Szeider