Explicit substitutions

  • Authors:
  • M. Abadi;L. Cardelli;P.-L. Curien;J.-J. Levy

  • Affiliations:
  • Digital Equipment Corporation, Systems Research Center;Digital Equipment Corporation, Systems Research Center;Ecole Normale Supérieure and Digital Equipment Corporation;INRIA Rocquencourt and Digital Equipment Corporation

  • Venue:
  • POPL '90 Proceedings of the 17th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
  • Year:
  • 1989

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Abstract

The &lgr;&sgr;-calculus is a refinement of the &lgr;-calculus where substitutions are manipulated explicitly. The &lgr;&sgr;-calculus provides a setting for studying the theory of substitutions, with pleasant mathematical properties. It is also a useful bridge between the classical &lgr;-calculus and concrete implementations.