Atomic lambda-calculus: A typed lambda-calculus with explicit sharing

Tom Gundersen; Willem Heijltjes; Michel Parigot

doi:10.1109/LICS.2013.37

Atomic lambda-calculus: A typed lambda-calculus with explicit sharing

Tom Gundersen, Willem Heijltjes, Michel Parigot

Research output: Chapter in Book/Report/Conference proceeding › Chapter in a published conference proceeding

13 Citations (SciVal)

239 Downloads (Pure)

Abstract

An explicit-sharing lambda-calculus is presented, based on a Curry-Howard-style interpretation of the deep inference proof formalism. Duplication of subterms during reduction proceeds `atomically', i.e. on individual constructors, similar to optimal graph reduction in the style of Lamping. The calculus preserves strong normalisation with respect to the lambda-calculus, and achieves fully lazy sharing.

Original language	English
Title of host publication	Proceedings of the 28th Annual ACM/IEEE Symposium on Logic in Computer Science
Subtitle of host publication	LICS'13
Publisher	IEEE
Pages	311-320
Number of pages	10
ISBN (Print)	9781479904136
DOIs	https://doi.org/10.1109/LICS.2013.37
Publication status	Published - 1 Aug 2013
Event	Twenty-Eighth Annucal ACM/IEEE Symposium on Logic in Computer Science (LICS 2013) - New Orleans, USA United States Duration: 24 Jun 2013 → 27 Jun 2013

Publication series

Name	ACM/IEEE Symposium on Logic in Computer Science
Publisher	ACM/IEEE
ISSN (Print)	1043-6871

Conference

Conference	Twenty-Eighth Annucal ACM/IEEE Symposium on Logic in Computer Science (LICS 2013)
Country/Territory	USA United States
City	New Orleans
Period	24/06/13 → 27/06/13

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10.1109/LICS.2013.37

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Accepted author manuscript, 257 KB

Cite this

Atomic lambda-calculus : A typed lambda-calculus with explicit sharing. / Gundersen, Tom; Heijltjes, Willem; Parigot, Michel.

Proceedings of the 28th Annual ACM/IEEE Symposium on Logic in Computer Science: LICS'13. IEEE, 2013. p. 311-320 (ACM/IEEE Symposium on Logic in Computer Science).

Research output: Chapter in Book/Report/Conference proceeding › Chapter in a published conference proceeding

Gundersen, T, Heijltjes, W & Parigot, M 2013, Atomic lambda-calculus: A typed lambda-calculus with explicit sharing. in Proceedings of the 28th Annual ACM/IEEE Symposium on Logic in Computer Science: LICS'13. ACM/IEEE Symposium on Logic in Computer Science, IEEE, pp. 311-320, Twenty-Eighth Annucal ACM/IEEE Symposium on Logic in Computer Science (LICS 2013), New Orleans, USA United States, 24/06/13. https://doi.org/10.1109/LICS.2013.37

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Atomic lambda-calculus: A typed lambda-calculus with explicit sharing

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