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 refine the interpolation property of the {˄, ˅, ¬}-fragment of classical propositional logic, showing that if ⊭ ¬𝜙, ⊭ 𝜓 and 𝜙 ⊨ 𝜓 then there is an interpolant 𝜒, constructed using at most ...

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 ...