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Control reduction theories: the benefit of structural substitution

Control reduction theories: The benefit of structural substitution
Authors: Ariola, Zena; Herbelin, Hugo;

Control reduction theories: the benefit of structural substitution

Abstract

AbstractThe historical design of the call-by-value theory of control relies on the reification of evaluation contexts as regular functions and on the use of ordinary term application for jumping to a continuation. To the contrary, thecontrol calculus, developed by the authors, distinguishes betweenjumpsandterms. This alternative calculus, which derives from Parigot's λμ-calculus, works by directstructural substitutionof evaluation contexts. We review and revisit the legacy theories of control and argue thatprovides an observationally equivalent but smoother theory. In an additional note contributed by Matthias Felleisen, we review the story of the birth of control calculi during the mid- to late-eighties at Indiana University.

Keywords

[INFO.INFO-PL]Computer Science [cs]/Programming Languages [cs.PL], 330, classical logic, control operators, weak-head reduction, ACM: D.: Software/D.3: PROGRAMMING LANGUAGES/D.3.3: Language Constructs and Features/D.3.3.4: Control structures, [INFO.INFO-PL] Computer Science [cs]/Programming Languages [cs.PL], ACM: F.: Theory of Computation/F.4: MATHEMATICAL LOGIC AND FORMAL LANGUAGES/F.4.1: Mathematical Logic/F.4.1.2: Lambda calculus and related systems, continuations, operational semantics, Functional programming and lambda calculus, reduction semantics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Average
Green
bronze