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Call-by-name extensionality and confluence

Part of: JFP Research Articles

Published online by Cambridge University Press:  27 February 2017

PHILIP JOHNSON-FREYD ,
PAUL DOWNEN  and
ZENA M. ARIOLA
PHILIP JOHNSON-FREYD
Affiliation:
University of Oregon, Eugene, Oregon, USA (e-mails: philipjf@cs.uoregon.edu, pdownen@cs.uoregon.edu, ariola@cs.uoregon.edu)
PAUL DOWNEN
Affiliation:
University of Oregon, Eugene, Oregon, USA (e-mails: philipjf@cs.uoregon.edu, pdownen@cs.uoregon.edu, ariola@cs.uoregon.edu)
ZENA M. ARIOLA
Affiliation:
University of Oregon, Eugene, Oregon, USA (e-mails: philipjf@cs.uoregon.edu, pdownen@cs.uoregon.edu, ariola@cs.uoregon.edu)
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Abstract

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Designing rewriting systems that respect functional extensionality for call-by-name languages with effects turns out to be surprisingly challenging. Simply interpreting extensional laws like η as reduction rules easily breaks confluence. We explore these issues in the setting of a sequent calculus. Building on an insight that appears in different aspects of the theory of call-by-name functional languages—confluent rewriting for two independent control calculi and sound continuation-passing style transformations—we give a confluent reduction system for lazy extensional functions. Finally, we consider limitations to this approach when used for strict evaluation and types beyond functions.

Type
Articles
Information
Journal of Functional Programming , Volume 27 , 2017 , e12
Copyright
Copyright © Cambridge University Press 2017 

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