A Variable Typed Logic of Effects

A Variable Typed Logic of E ects

In this paper we introduce a variable typed logic of eeects inspired by the variable type systems of Feferman for purely functional languages. VTLoE (Variable Typed Logic of EEects) is introduced in two stages. The rst stage is the rst-order theory of individuals built on assertions of equality (operational equivalence a la Plotkin), and contextual assertions. The second stage extends the logic...

Typed Norms for Typed Logic Programs

Curry-Typed Semantics in Typed Predicate Logic

Various questions arise in semantic analysis concerning the nature of types. These questions include whether we need types in a semantic theory, and if so, whether some version of simple type theory (STT, Church, 1940) is adequate or whether a richer more flexible theory is required to capture our semantic intuitions. Propositions and propositional attitudes can be represented in an essentially...

Polymorphically Typed Logic Programs

A short version of this paper was published at the 8th Intl Conf on Logic Programming, MIT Press, June 1990 The address of the first and third author is Department of Applied Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot 76100, Israel Work of the second author was done while visiting the Weizmann Institute of Science and while at the Department of Computer Science...

Typed Hybrid Multimodal Logic

Some potential application domains of hybrid multimodal logic strongly suggest typing of states and imposing type–constraints on modalities. We investigate logical/computational cost of such an extension, and find out that, in the case of a very simple system of types, there is none: the extension essentially preserves both expressivity and complexity of hybrid multimodal logic. Use of types sh...