Open call-by-value

Beniamino Accattoli, Giulio Guerrieri

Research output: Chapter or section in a book/report/conference proceedingChapter in a published conference proceeding

33 Citations (SciVal)


The elegant theory of the call-by-value lambda-calculus relies on weak evaluation and closed terms, that are natural hypotheses in the study of programming languages. To model proof assistants, however, strong evaluation and open terms are required, and it is well known that the operational semantics of call-by-value becomes problematic in this case. Here we study the intermediate setting—that we call Open Callby- Value—of weak evaluation with open terms, on top of which Grégoire and Leroy designed the abstract machine of Coq. Various calculi for Open Call-by-Value already exist, each one with its pros and cons. This paper presents a detailed comparative study of the operational semantics of four of them, coming from different areas such as the study of abstract machines, denotational semantics, linear logic proof nets, and sequent calculus. We show that these calculi are all equivalent from a termination point of view, justifying the slogan Open Call-by-Value.

Original languageEnglish
Title of host publicationProgramming Languages and Systems - 14th Asian Symposium, APLAS 2016, Proceedings
Subtitle of host publicationAPLAS 2016
EditorsAtsushi Igarashi
PublisherSpringer Verlag
Number of pages21
ISBN (Print)9783319479576
Publication statusPublished - 9 Oct 2016
Event14th Asian Symposium on Programming Languages and Systems, APLAS 2016 - Hanoi, Viet Nam
Duration: 21 Nov 201623 Nov 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10017 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference14th Asian Symposium on Programming Languages and Systems, APLAS 2016
Country/TerritoryViet Nam

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)


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