Relational Models for the Lambek Calculus with Intersection and Constants

We consider relational semantics (R-models) for the Lambek calculus extended with intersection and explicit constants for zero and unit. For its variant without constants and a restriction which disallows empty antecedents, Andreka and Mikulas (1994) prove strong completeness. We show that it fails...

Full description

Bibliographic Details
Main Author: Stepan L. Kuznetsov
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2023-12-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/10120/pdf