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On weak completeness of intuitionistic predicate logic

  • G. Kreisel (a1)
Abstract

Suppose the ri-placed relation symbols Pi, 1 ≦ ik, are all the non-logical constants occurring in the closed formula , also written as , of Heyting's predicate calculus (HPC). Then HPC is called complete for provided , i.e.

Here D ranges over arbitrary species, and over arbitrary (possibly incompletely defined) subspecies of ;

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[2] L. E. J. Brouwer , Über Definitionsbereiche von Funktionen, Mathematische Annalen, vol. 97 (1927), pp. 6075.

[4] K. Gödel , Über eine bisher noch nicht benützte Erweiterung des finiten Standpunktes, Dialectica, vol. 12 (1958), pp. 280287.

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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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