Deduction modulo is a theoretical framework for reasoning modulo a congruence on propositions. Computational steps are thus removed from proofs, thus allowing a clean separatation...
act Completion (Full Version) Guillaume Burel Claude Kirchner August 6, 2007 Deduction Modulo implements Poincar´e’s principle by identifying deduction and computation as diff...
We consider a classical (propositional) version, CBI, of O'Hearn and Pym's logic of bunched implications (BI) from a model- and prooftheoretic perspective. We present a c...
We introduce a notion of Kripke model for classical logic for which we constructively prove soundness and cut-free completeness. We discuss the meaning of the new notion and its a...
Abstract. We introduce a semantics for classical logic with partial functions. We believe that the semantics is natural. When a formula contains a subterm in which a function is ap...