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An induction principle and pigeonhole principles for K-finite sets

Published online by Cambridge University Press:  12 March 2014

Andreas Blass
Andreas Blass*
Affiliation:
Mathematics Department, University of Michigan, Ann Arbor, Michigan 48109, E-mail: [email protected]
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Abstract

We establish a course-of-values induction principle for K-finite sets in intuitionistic type theory. Using this principle, we prove a pigeonhole principle conjectured by Bénabou and Loiseau. We also comment on some variants of this pigeonhole principle.

Keywords

Primary 03F55
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 60 , Issue 4 , December 1995 , pp. 1186 - 1193
Copyright
Copyright © Association for Symbolic Logic 1995

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References

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