Rewriting with extensional polymorphic λ-calculus

  • Roberto Di Cosmo
  • Delia Kesner
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1092)


We provide a confluent and strongly normalizing rewriting system, based on expansion rules, for the extensional second order typed lambda calculus with product and unit types: this system corresponds to the Intuitionistic Positive Calculus with implication, conjunction, quantification over proposition and the constant True. This result is an important step towards a new theory of reduction based on expansion rules, and gives a natural interpretation to the notion of second order η-long normal forms used in higher order resolution and unification, that are here just the normal forms of our reduction system.


Normal Form Induction Hypothesis Basic Expansion Strong Normalization Lambda Calculus 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Roberto Di Cosmo
    • 1
  • Delia Kesner
    • 2
  1. 1.LIENS (CNRS) DMI Ecole Normale SupérieureParisFrance
  2. 2.CNRS and LRIUniversité de Paris-SudOrsay CedexFrance

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