An environment machine for the λμ-calculus

  • Authors:
  • Philippe De Groote

  • Affiliations:
  • INRIA-Lorraine, 615 rue du Jardin Botanique – B.P. 101, F 54602 Villers-lès-Nancy Cedex – FRANCE. E-mail: Philippe.de.Groote@loria.fr

  • Venue:
  • Mathematical Structures in Computer Science
  • Year:
  • 1998

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Abstract

We introduce a natural deduction-like formalisation of Parigot's λμ-calculus. From this, we derive an environment machine that allows any well-typed λμ-term to be reduced to its weak head normal form. The soundness and completeness of the machine is proved.