We formalize two proofs of weak head normalization for the simply typed lambdacalculus in first-order minimal logic: one for normal-order reduction, and one for applicative-order ...
Malgorzata Biernacka, Olivier Danvy, Kristian St&o...
We present a proof searching technique for the natural deduction calculus for the propositional linear-time temporal logic and prove its correctness. This opens the prospect to ap...
Alexander Bolotov, Oleg Grigoriev, Vasilyi Shangin
We provide techniques to integrate resolution logic with equality in type theory. The results may be rendered as follows. − A clausification procedure in type theory, equipped w...
Abstract. leanK is a "lean", i.e., extremely compact, Prolog implementation of a free variable tableau calculus for propositional modal logics. leanK 2.0 includes additio...
Proof planning is an automated reasoning technique which improves proof search by raising it to a meta-level. In this paper we apply proof planning to First-Order Linear Temporal L...