On the Lambek Calculus with an Exchange Modality

In this paper we introduce Commutative/Non-Commutative Logic (CNC logic) and two categorical models for CNC logic. This work abstracts Benton's Linear/Non-Linear Logic by removing the existence of the exchange structural rule. One should view this logic as composed of two logics; one sitting to...

Full description

Bibliographic Details
Main Authors: Jiaming Jiang, Harley Eades III, Valeria de Paiva
Format: Article
Language:English
Published: Open Publishing Association 2019-04-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1904.06847v1