Intensional logics

Equivalence in Intensional Logics

Intensional logics without interative axioms

It may be that there is no way to axiomatize an intensional logic without recourse to one or more iterative axioms; then I call that logic iterative. But many familiar logics can be axiomatized by means of non-iterative axioms alone; these logics I call non-iterative. A frame, roughly speaking, is a partial interpretation for an intensional language. It provides a set 1, all subsets of which ar...

Intensional semantics of fuzzy logics

s of Contributed Papers

Canonicity for Intensional Logics Without Iterative Axioms

DAVID LEWIS proved in 1974 that all logics without iterative axioms are weakly complete. In this paper we extend LEWIS’s ideas and provide a proof that such logics are canonical and so strongly complete. This paper also discusses the differences between relational and neighborhood frame semantics and poses a number of open questions about the latter. Canonicity for Intensional Logics Without It...

Canonicity for Intensional Logics with Even Axioms

This paper looks at the concept of neighborhood canonicity introduced by BRIAN CHELLAS [2]. We follow the lead of the author’s paper [8] where it was shown that every non-iterative logic is neighborhood canonical and here we will show that all logics whose axioms have a simple syntactic form—no intensional operator is in boolean combination with a propositional letter—and which have the finite ...