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On one-pass CPS transformations

Published online by Cambridge University Press:  01 November 2007

OLIVIER DANVY ,
KEVIN MILLIKIN  and
LASSE R. NIELSEN
OLIVIER DANVY
Affiliation:
BRICS, Department of Computer Science, University of Aarhus, IT-parken, Aabogade 34, DK-8200 Aarhus N, Denmark email: danvy@brics.dk, kmillikin@brics.dk, lrn@brics.dk
KEVIN MILLIKIN
Affiliation:
BRICS, Department of Computer Science, University of Aarhus, IT-parken, Aabogade 34, DK-8200 Aarhus N, Denmark email: danvy@brics.dk, kmillikin@brics.dk, lrn@brics.dk
LASSE R. NIELSEN
Affiliation:
BRICS, Department of Computer Science, University of Aarhus, IT-parken, Aabogade 34, DK-8200 Aarhus N, Denmark email: danvy@brics.dk, kmillikin@brics.dk, lrn@brics.dk
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Abstract

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We bridge two distinct approaches to one-pass CPS transformations, i.e, CPS transformations that reduce administrative redexes at transformation time instead of in a post-processing phase. One approach is compositional and higher-order, and is independently due to Appel, Danvy and Filinski, and Wand, building on Plotkin's seminal work. The other is non-compositional and based on a reduction semantics for the lambda-calculus, and is due to Sabry and Felleisen. To relate the two approaches, we use three tools: Reynolds's defunctionalization and its left inverse, refunctionalization; a special case of fold–unfold fusion due to Ohori and Sasano, fixed-point promotion; and an implementation technique for reduction semantics due to Danvy and Nielsen, refocusing. This work is directly applicable to transforming programs into monadic normal form.

Type
Article
Information
Journal of Functional Programming , Volume 17 , Issue 6 , November 2007 , pp. 793 - 812
Copyright
Copyright © Cambridge University Press 2007

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