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Taylor expansion for Call-By-Push-Value

Authors Jules Chouquet , Christine Tasson

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Author Details

Jules Chouquet
  • IRIF UMR 8243, Université de Paris, CNRS, France
Christine Tasson
  • IRIF UMR 8243, Université Paris Diderot, Sorbonne Paris Cité, CNRS, France

Funding

This work was supported by french ANR project Rapido (ANR number: ANR-14-CE25-0007).

Acknowledgements

The authors thank the ANR project Rapido, together with Lionel Vaux and Thomas Ehrhard for their useful advises and fertile discussions.

Cite AsGet BibTex

Jules Chouquet and Christine Tasson. Taylor expansion for Call-By-Push-Value. In 28th EACSL Annual Conference on Computer Science Logic (CSL 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 152, pp. 16:1-16:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
https://doi.org/10.4230/LIPIcs.CSL.2020.16

Abstract

The connection between the Call-By-Push-Value lambda-calculus introduced by Levy and Linear Logic introduced by Girard has been widely explored through a denotational view reflecting the precise ruling of resources in this language. We take a further step in this direction and apply Taylor expansion introduced by Ehrhard and Regnier. We define a resource lambda-calculus in whose terms can be used to approximate terms of Call-By-Push-Value. We show that this approximation is coherent with reduction and with the translations of Call-By-Name and Call-By-Value strategies into Call-By-Push-Value.

Subject Classification

ACM Subject Classification
  • Theory of computation
Keywords
  • Call-By-Push-Value
  • Quantitative semantics
  • Taylor expansion
  • Linear Logic

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