Abstract. We describe methods for automated theorem proving in extensional type theory with primitive equality. We discuss a complete, cut-free sequent calculus as well as a compac...
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. While many higher-order interactive theorem provers include a choice operator, higher-order automated theorem provers currently do not. As a step towards supporting autom...
Abstract. Sledgehammer, a component of the interactive theorem prover Isabelle, finds proofs in higher-order logic by calling the automated provers for first-order logic E, SPASS a...
We provide a proof using HOL and SPIN of convergence for the Routing Information Protocol (RIP), an internet protocol based on distance vector routing. We also calculate a sharp re...
Karthikeyan Bhargavan, Carl A. Gunter, Davor Obrad...