The problem of approximating a propositional calculus is to nd many-valued logics which are sound for the calculus (i.e., all theorems of the calculus are tautologies) with as few...
We formalize higher-order separation logic for a first-order imperative language with procedures and local variables in Isabelle/HOLCF. The assertion language is modeled in such a...
We present a general approach for representing and reasoning with sets of defaults in default logic, focussing on reasoning about preferences among sets of defaults. First, we con...
This is a prospective on the research in the intersection of mathematics and artificial intelligence that I see as having been the most important over the past 10 years and that I...
The logic of proofs is known to be complete for the semantics of proofs in PA. In this paper we present a refinement of this theorem, we will show that we can assure that all the ...