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A new constructive logic: classic logic

Published online by Cambridge University Press:  04 March 2009

Jean-Yves Girard
Équipe de logique, UA 753 du CNRS Mathématiques, Université Paris VII, t.4555, 5° étage, 2, Place Jussieu 72521 Paris cedex 05, France


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.

Research Article
Copyright © Cambridge University Press 1991

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