This idea, however, clashes with the undecidability of first-order logic and with the (likely) intractability of Boolean logic. In this article, we address the problem both from the semantic and the ...

A propositional system of modal logic is second-order if it contains quantifiers ∀p and ∃p, which, in the standard interpretation, are construed as ranging over sets of possible worlds (propositions).

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 ...