We present some new decision and comparison problems of unusually high computational complexity. Most of the problems are strictly combinatorial in nature; others involve basic lo...
In this paper we ask the question whether the extended Frege proof system EF satisfies a weak version of the deduction theorem. We prove that if this is the case, then complete dis...
In an attempt to improve automation capabilities in the Coq proof assistant, we develop a tactic for the propositional fragment based on the DPLL procedure. Although formulas natur...
We present the CoRe calculus for contextual reasoning which supports reasoning directly at the assertion level, where proof steps are justified in terms of applications of defini...
The Traverso-Swan theorem says that a reduced ring A is seminormal if and only if the natural homomorphism Pic A Pic A[X] is an isomorphism ([18, 17]). We give here all the detai...