Abstract. Westudy cut-elimination in first-orderclassical logic. Weconstructa sequenceofpolynomiallength proofs having a non-elementary number of different cut-free normal forms....
In this paper we present a strongly normalising cut-elimination procedure for classical logic. This procedure adapts Gentzen’s standard cut-reductions, but is less restrictive th...
In the last years two automated reasoning techniques for clause normal form arose in which the use of labels are prominently featured: signed logic and annotated logic programming...
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Verification conditions (VCs) are logical formulae whose validity implies the correctness of a program with respect to a specification. The technique of checking software properti...