A new constructive logic: classic logic

Author:

Girard Jean-Yves

Abstract

There are two ways to present this work; the most efficient is of course to start with the main syntactical definitions, and to end with semantics: this is the presentation that we follow in the body of the text: section 1, syntex; section 2, semantics. Another possibility is to follow the order of discovery of the concepts, which (as expected) starts with the semantics and ends with the syntex; we adopt this second way for our introduction, hoping that this orthogonal look at the same object will help to apprehend the concepts.

Publisher

Cambridge University Press (CUP)

Subject

Computer Science Applications,Mathematics (miscellaneous)

Reference7 articles.

1. Linear Logic;Girard;Theret, Comput. Sci.,1987

2. Girard J.-Y. (1991) On the unity of logic. Submitted to the proceedings of ALC ‘90, APAL.

3. Andréoli J.-M. and Pareschi R. (1991) Linear objects: logical proceses with built-in inheritence. To appear in new generation Computing.

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