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A BRIEF SURVEY OF FRAMES FOR THE LAMBEK CALCULUS

✍ Scribed by Kosta Došen

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
500 KB
Volume
38
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Models for the Lambek calculus of syntactic categories surveyed here are based on frames that are in principle of the same type as Kripke frames for intuitionistic logic. These models are extracted from the literature on models for relevant logics, in particular the ternary relationed models introduced in the early seventies. The purpose of this brief survey is to locate some open completeness problems for variants of the Lambek calculus in the context of completeness results based on various types of ternary relational models.

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