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Rapport (Rapport De Recherche) Année : 1992

Confluence properties of weak and strong calculi of explicit substitutions

P.L. Curien
  • Fonction : Auteur
Thérèse Hardin
  • Fonction : Auteur
Jean-Jacques Levy

Résumé

Categorical combinators and more recently ls-calculus have been introduced to provide an explicit treatments of substitutions in the l-calculus. We reintroduce here the ingredients of these calculi in a self-contained and stepwise way, with a special emphasis on confluence properties. The main new results of the paper w.r.t. are the following : - we present a confluent weak calculus of substitutions, where no variable clashes can be feared - we solve a conjecture : ls-calculus is not confluent (it is confluent on ground terms only). This unfortunate result is "repaired" by presenting a confluent version of ls-calculus, named the lEnv-calculus called here the confluent ls-calculus.

Domaines

Autre [cs.OH]
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Dates et versions

inria-00077189 , version 1 (29-05-2006)

Identifiants

  • HAL Id : inria-00077189 , version 1

Citer

P.L. Curien, Thérèse Hardin, Jean-Jacques Levy. Confluence properties of weak and strong calculi of explicit substitutions. [Research Report] RR-1617, INRIA. 1992. ⟨inria-00077189⟩
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