λμ-Calculus and Duality: Call-by-Name and Call-by-Value

  • Jérôme Rocheteau
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3467)


Under the extension of Curry-Howard’s correspondence to classical logic, Gentzen’s NK and LK systems can be seen as syntax-directed systems of simple types respectively for Parigot’s λμ-calculus and Curien-Herbelin’s \(\bar\lambda\mu\tilde\mu\)-calculus. We aim at showing their computational equivalence. We define translations between these calculi. We prove simulation theorems for an undirected evaluation as well as for call-by-name and call-by-value evaluations.


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© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Jérôme Rocheteau
    • 1
    • 2
  1. 1.ESTAS – INRETSVilleneuve d’Ascq Cedex
  2. 2.Preuves, Programmes et SystèmesCNRS Université de Paris VII, UMR 7126ParisFrance

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