The graphical Krivine machine

  • Authors:
  • Sylvain Lippi

  • Affiliations:
  • Institut de Mathématiques de Luminy, UMR 6206 du CNRS, Marseille Cedex 9, France 13288

  • Venue:
  • Higher-Order and Symbolic Computation
  • Year:
  • 2007

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Abstract

We present a natural implementation of the Krivine machine ininteraction nets: one rule for each transition and the usual rulesfor duplication and erasing. There is only one rule devoted to theso-called administration. This way, we obtain a graphicalsystem encoding λ-calculus weak head reduction thatcan be extended to a λ-calculus normalizer byencoding left reduction.