We show that the asymptotic complexity of uniformly generated (expressible in First-Order (FO) logic) propositional tautologies for the Nullstellensatz proof system (NS) as well a...
We study the parameterized complexity of detecting backdoor sets for instances of the propositional satisfiability problem (SAT) with respect to the polynomially solvable classes ...
Handling redundancy in propositional reasoning and search is an active path of theoretical research. For instance, the complexity of some redundancy-related problems for CNF formu...
We consider the deterministic and the randomized decision tree complexities for Boolean functions, denoted DC(f) and RC(f), respectively. A major open problem is how small RC(f) ca...
We study the complexity of satisfiability for the expressive extension ICPDL of PDL (Propositional Dynamic Logic), which admits intersection and converse as program operations. Ou...