Confluence properties of weak and strong calculi of explicit substitutions

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.
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Rapport
[Research Report] RR-1617, INRIA. 1992
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https://hal.inria.fr/inria-00077189
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Soumis le : lundi 29 mai 2006 - 17:16:10
Dernière modification le : vendredi 25 mai 2018 - 12:02:05
Document(s) archivé(s) le : vendredi 13 mai 2011 - 22:48:59

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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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