Deriving the full-reducing Krivine machine from the small-step operational semantics of normal order

  • Authors:
  • Álvaro García-Pérez;Pablo Nogueira;Juan José Moreno-Navarro

  • Affiliations:
  • Universidad Politécnica de Madrid;Universidad Politécnica de Madrid;Universidad Politecnica de Madrid

  • Venue:
  • Proceedings of the 15th Symposium on Principles and Practice of Declarative Programming
  • Year:
  • 2013

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Abstract

We derive by program transformation Pierre Crégut's full-reducing Krivine machine KN from the structural operational semantics of the normal order reduction strategy in a closure-converted pure lambda calculus. We thus establish the correspondence between the strategy and the machine, and showcase our technique for deriving full-reducing abstract machines. Actually, the machine we obtain is a slightly optimised version that can work with open terms and may be used in implementations of proof assistants.