Linear logic operators in transparent intensional logic

Liberios Vokorokos, Zuzana Bilanová, Daniel Mihályi · 2017

In this paper, we would like to describe two logical systems - Tichy's transparent intensional logic and Girard's linear logic. Transparent intensional logic is a method of logical analysis of natural language, which represents expressive system, independent of chosen source language. Our research vision is to connect this method with linear logic. In future research, this connection would allow us to apply Ludics theory principles (which is the extension of the linear logic) to natural language sentences, which puts them in a logical time and space.

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