This is a preview. Log in through your library . Abstract We prove the following surprising property of Heyting's intuitionistic propositional calculus, IpC. Consider the collection of formulas, φ, ...

We show a model construction for a system of higher-order illative combinatory logic Jѡ, thus establishing its strong consistency. We also use a variant of this construction to provide a complete ...

The field of theorem proving and higher‐order logic represents a confluence of computer science, mathematics and formal logic. It encompasses the automated and interactive approaches to establishing ...