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Published in:
2011 | OriginalPaper | Chapter
Negative Translations and Duality: Toward a Unified Approach
Author : Mattia Petrolo
Published in: Ludics, Dialogue and Interaction
Publisher: Springer Berlin Heidelberg
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We address two related topics concerning recent developments of constructive classical logic. The first topic concerns the well known relationships that negative translation (a.k.a. CPS translation) establishes between classical and intuitionistic logic. We examine why they fail to give us a clear and complete picture of constructive classical logic. Secondly, we analyze some recently developed classical calculi which shed new light on negative translation and its connections with the concept of syntactical duality.