HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

Modeling Sharing and Recursion for Weak Reduction Strategies using Explicit Substitution

Abstract : We \emph{present} the $\lambda\sigma_w^a$-calculus, a formal synthesis of the concepts of sharing and explicit substitution for weak reduction. We show how $\lambda\sigma_w^a$ can be used as a foundation of implementations of functional programming languages by modeling the essential ingredients of such implementations, namely \emph{weak reduction strategies}, \emph{recursion}, \emph{space leaks}, \emph{recursive data structures}, and \emph{parallel evaluation}, in a uniform way. First, we give a precise account of the major reduction strategies used in functional programming and the consequences of choosing $\lambda$-graph-reduction vs. environment-based evaluation. Second, we show how to add \emph{constructors and explicit recursion} to give a precise account of recursive functions and data structures even with respect to space complexity. Third, we formalize the notion of \emph{space leaks} in $\lambda\sigma_w^a$ and use this to define a space leak free calculus; this suggests optimisations for call-by-need reduction that prevent space leaking and enables us to prove that the «trimming» performed by the STG machine does not leak space. In summary we give a formal account of several implementation techniques used by state of the art implementations of functional programming languages.
Document type :
Reports
Complete list of metadata

Cited literature [1 references]  Display  Hide  Download

https://hal.inria.fr/inria-00073599
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Wednesday, May 24, 2006 - 1:17:24 PM
Last modification on : Friday, February 4, 2022 - 3:22:04 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:51:40 PM

Identifiers

  • HAL Id : inria-00073599, version 1

Collections

Citation

Zine-El-Abidine Benaissa, Pierre Lescanne, Kristoffer H. Rose. Modeling Sharing and Recursion for Weak Reduction Strategies using Explicit Substitution. [Research Report] RR-3092, INRIA. 1997. ⟨inria-00073599⟩

Share

Metrics

Record views

63

Files downloads

170