Encoding left reduction in the λ-calculus with interaction nets

  • Authors:
  • Sylvain Lippi

  • Affiliations:
  • Institut de Mathématiques de Luminy, UPR 9016 du CNRS, 163 avenue de Luminy, case 930, 13288 MARSEILLE CEDEX 9, France Email: lippi@iml.univ-mrs.fr

  • Venue:
  • Mathematical Structures in Computer Science
  • Year:
  • 2002

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Abstract

This paper presents a simple implementation of the λ-calculus in the interaction net paradigm. It is based on a two-fold translation. λ-terms are coded (for duplication) or decoded (for execution), and reduction is achieved by switching between these two states: decoding corresponds to head reduction and encoding to left reduction.