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Definability of Total Objects in PCF and Related Calculi

  • Dag Normann
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2044)

Abstract

We let PCF be Plotkin’s [8] calculus based on Scott’s 10, 11 LCF, and we consider the standard case with base types for the natural numbers and for the Booleans. We consider the standard interpretation using algebraic domains. Plotkin [8] showed that a finite object in general will not be definable, and isolated two nondeterministic constants PAR and ∃ ω such that each computable object is definable in PCF + PAR + ∃ ω .

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Dag Normann
    • 1
  1. 1.Department of MathematicsUniversity of OsloUSA

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