The paper considers a commonly used axiomatization of the classical propositional logic and studies how different axiom schemata in this system contribute to proof complexity of th...
Abstract. For a reasonable sound and complete proof calculus for firstorder logic consider the problem to decide, given a sentence of firstorder logic and a natural number n, whet...
We develop logical mechanisms and decision procedures to facilitate the verification of full functional properties of inductive tree data-structures using recursion that are soun...
Parthasarathy Madhusudan, Xiaokang Qiu, Andrei Ste...
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
The logic of proofs (LP) was proposed as Gödel’s missed link between Intuitionistic and S4-proofs, but so far the tableau-based methods proposed for LPhave not explored this cl...