Computational adequacy via ‘mixed’ inductive definitions

  • Andrew M. Pitts
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 802)


For programming languages whose denotational semantics uses fixed points of domain constructors of mixed variance, proofs of correspondence between operational and denotational semantics (or between two different denotational semantics) often depend upon the existence of relations specified as the fixed point of non-monotonic operators. This paper describes a new approach to constructing such relations which avoids having to delve into the detailed construction of the recursively defined domains themselves. The method is introduced by example, by considering the proof of computational adequacy of a denotational semantics for expression evaluation in a simple, untyped functional programming language.


Binary Relation Denotational Semantic Domain Equation Fixed Point Property Inductive Definition 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Andrew M. Pitts
    • 1
  1. 1.University of Cambridge Computer LaboratoryCambridgeEngland

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