We propose a proof-theoretic approach for gaining evidence that certain parameterized problems are not fixed-parameter tractable. We consider proofs that witness that a given pro...
Stefan S. Dantchev, Barnaby Martin, Stefan Szeider
An NP search problem is the problems of finding a witness to the given NP predicate, and TFNP is the class of total NP search problems. TFNP contains a number of subclasses conta...
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
We develop and study the complexity of propositional proof systems of varying strength extending resolution by allowing it to operate with disjunctions of linear equations instead ...
— Craig interpolants are often used to approximate inductive invariants of transition systems. Arithmetic relationships between numeric variables require word-level interpolants,...