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Control reduction theories: the benefit of structural substitution

Part of: JFP Research Articles

Published online by Cambridge University Press:  01 May 2008

ZENA M. ARIOLA  and
HUGO HERBELIN
ZENA M. ARIOLA
Affiliation:
University of Oregon
HUGO HERBELIN
Affiliation:
INRIA-Futurs with a Historical Note by Matthias Felleisen
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Abstract

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The 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, the control calculus, developed by the authors, distinguishes between jumps and terms. This alternative calculus, which derives from Parigot's λμ-calculus, works by direct structural substitution of evaluation contexts. We review and revisit the legacy theories of control and argue that provides 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.

Type
Articles
Information
Journal of Functional Programming , Volume 18 , Issue 3 , May 2008 , pp. 373 - 419
Copyright
Copyright © Cambridge University Press 2007

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