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Useful Open Call-By-Need

Authors Beniamino Accattoli , Maico Leberle

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Beniamino Accattoli
  • Inria & École Polytechnique, Palaiseau, France
Maico Leberle
  • Inria & École Polytechnique, Palaiseau, France

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Beniamino Accattoli and Maico Leberle. Useful Open Call-By-Need. In 30th EACSL Annual Conference on Computer Science Logic (CSL 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 216, pp. 4:1-4:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/LIPIcs.CSL.2022.4

Abstract

This paper studies useful sharing, which is a sophisticated optimization for λ-calculi, in the context of call-by-need evaluation in presence of open terms. Useful sharing turns out to be harder in call-by-need than in call-by-name or call-by-value, because call-by-need evaluates inside environments, making it harder to specify when a substitution step is useful. We isolate the key involved concepts and prove the correctness and the completeness of useful sharing in this setting.

Subject Classification

ACM Subject Classification
  • Theory of computation → Lambda calculus
  • Theory of computation → Operational semantics
Keywords
  • lambda calculus
  • call-by-need
  • operational semantics
  • sharing
  • cost models

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