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On weak completeness of intuitionistic predicate logic

Published online by Cambridge University Press:  12 March 2014

G. Kreisel*
Affiliation:
Université De Paris

Extract

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 ;

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1962

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References

[1]Beth, E. W., Semantic construction of intuitionistic logic, Mededelingen der Koninklijke Nederlandse Akademie van Wetenschappen, Afd. Letterkunde, n.s. vol. 19, no. 11 (1956), pp. 357388.Google Scholar
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