From λσ to λν: a journey through calculi of explicit substitutions

  • Authors:
  • Pierre Lescanne

  • Affiliations:
  • Centre de Recherche en Informatique de Nancy (CNRS), and INRIA -Lorraine, Campus Scientifique, BP 239, F54506 Vandoeuvre-lès-Nancy, France

  • Venue:
  • POPL '94 Proceedings of the 21st ACM SIGPLAN-SIGACT symposium on Principles of programming languages
  • Year:
  • 1994

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Abstract

This paper gives a systematic description of several calculi of explicit substitutions. These systems are orthogonal and have easy proofs of termination of their substitution calculus. The last system, called &lgr;v, entails a very simple environment machine for strong normalization of &lgr;-terms.