Confluence properties of weak and strong calculi of explicit substitutions - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1992

Confluence properties of weak and strong calculi of explicit substitutions

P.L. Curien
  • Function : Author
Thérèse Hardin
  • Function : Author
Jean-Jacques Levy

Abstract

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.

Domains

Other [cs.OH]
Fichier principal
Vignette du fichier
RR-1617.pdf (1.49 Mo) Télécharger le fichier

Dates and versions

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

Identifiers

  • HAL Id : inria-00077189 , version 1

Cite

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⟩
156 View
180 Download

Share

Gmail Facebook Twitter LinkedIn More