An important characteristic of many logics for Arti cial Intelligence is their nonmonotonicity. This means that adding a formula to the premises can invalidate some of the consequ...
In this paper we present a translation principle, called the axiomatic translation, for reducing propositional modal logics with background theories, including triangular propertie...
Abstract. We describe a second-order type theory with proof irrelevance. Within this framework, we give a representation of a form of Mac Lane set theory and discuss automated supp...
Abstract. Isabelle/HOL is a popular interactive theorem prover based on higherorder logic. It owes its success to its ease of use and powerful automation. Much of the automation is...
Jasmin Christian Blanchette, Lukas Bulwahn, Tobias...
ACL2 is the latest inception of the Boyer-Moore theorem prover, the 2005 recipient of the ACM Software System Award. In the hands of an expert, it feels like a finely tuned race ...
Peter C. Dillinger, Panagiotis Manolios, Daron Vro...