A Simple Correctness Proof of the Direct-Style Transformation

Lasse R. Nielsen

Abstract


We build on Danvy and Nielsen's first-order program transformation into continuation-passing style (CPS) to present a new correctness proof of the converse transformation, i.e., a one-pass transformation from CPS back to direct style. Previously published proofs were based on, e.g., a one-pass higher-order CPS transformation, and were complicated by having to reason about higher-order functions. In contrast, this work is based on a one-pass CPS transformation that is both compositional and first-order, and therefore the proof simply proceeds by structural induction on syntax.

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DOI: http://dx.doi.org/10.7146/brics.v9i2.21719
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ISSN: 0909-0878 

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