Inducing theorem provers from proofs

This paper is a case study in combining theorem provers. We define a derived rule in HOL-Light, CVC_PROVE, which calls CVC Lite and translates the resulting proof object back to HOL-Light. As a result, we obtain a highly trusted proof-checker for CVC ...

It is known that there is a sound and faithful translation of the full intuitionistic propositional calculus into the atomic polymorphic system Fat, a predicative calculus with only two connectives: the conditional and the second-order universal ...

The proofs of the Church–Rosser theorems for β, η, and β ∪ η reduction in untyped λ-calculus are formalized in Isabelle/HOL, an implementation of Higher Order Logic in the generic theorem prover Isabelle. For β-reduction, both the standard proof and ...