LIPIcs.CSL.2011.1.pdf
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Resource Lambda-Calculus: the Differential Viewpoint
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Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL (CSL 2011)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: Computer Science Logic (CSL) - License:
Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license
- Publication Date: 2011-08-31
Cite As Get BibTex
Thomas Ehrhard. Resource Lambda-Calculus: the Differential Viewpoint. In Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL. Leibniz International Proceedings in Informatics (LIPIcs), Volume 12, p. 1, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)
https://doi.org/10.4230/LIPIcs.CSL.2011.1
Abstract
We present differential linear logic and its models, the associated resource and differential lambda-calculi, and the Taylor expansion of promotion boxes. We also describe an antiderivative which seems to be available in many models of differential Linear Logic, and we present a very simple categorical axiom for this operation.
Subject Classification
Keywords
- proof theory
- lambda-calculus
- linear logic
- denotational semantics
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