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Pragmatics of type-directed partial evaluation

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Partial Evaluation

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1110))

Abstract

Type-directed partial evaluation stems from the residualization of static values in dynamic contexts, given their type and the type of their free variables. Its algorithm coincides with the algorithm for coercing a subtype value into a supertype value, which itself coincides with Berger and Schwichtenberg's normalization algorithm for the simply typed λ-calculus. Type-directed partial evaluation thus can be used to specialize a compiled, closed program, given its type.

Since Similix, let-insertion is a cornerstone of partial evaluators for call-by-value procedural languages with computational effects (such as divergence). It prevents the duplication of residual computations, and more generally maintains the order of dynamic side effects in the residual program.

This article describes the extension of type-directed partial evaluation to insert residual let expressions. This extension requires the user to annotate arrow types with effect information. It is achieved by delimiting and abstracting control, comparably to continuation-based specialization in direct style. It enables type-directed partial evaluation of programs with effects (e.g., a definitional lambda-interpreter for an imperative language) that are in direct style. The residual programs are in A-normal form. A simple corollary yields CPS (continuation-passing style) terms instead. We illustrate both transformations with two interpreters for Paulson's Tiny language, a classical example in partial evaluation.

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Authors and Affiliations

  1. Computer Science Department, Aarhus University, Building 540, DK-8000, Aarhus C, Denmark

    Olivier Danvy

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  1. Olivier Danvy
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Olivier Danvy Robert Glück Peter Thiemann

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© 1996 Springer-Verlag Berlin Heidelberg

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Danvy, O. (1996). Pragmatics of type-directed partial evaluation. In: Danvy, O., Glück, R., Thiemann, P. (eds) Partial Evaluation. Lecture Notes in Computer Science, vol 1110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61580-6_5

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  • DOI: https://doi.org/10.1007/3-540-61580-6_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61580-4

  • Online ISBN: 978-3-540-70589-5

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