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Proof-irrelevance out of excluded-middle and choice in the calculus of constructions

Part of: JFP Research Articles

Published online by Cambridge University Press:  07 November 2008

Franco Barbanera  and
Stefano Berardi
Franco Barbanera
Affiliation:
Dipartimento di Informatica, Universita' di Torino, Corso Svizzera 185, 10149 Torino, Italy (e-mail: {barba, stefano} @di.unito.it)
Stefano Berardi
Affiliation:
Dipartimento di Informatica, Universita' di Torino, Corso Svizzera 185, 10149 Torino, Italy (e-mail: {barba, stefano} @di.unito.it)
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Abstract

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We present a short and direct syntactic proof of the fact that adding the axiom of choice and the principle of excluded-middle to Coquand–Huet's Calculus of Constructions gives proof-irrelevance.

Information

Type
Articles
Information
Journal of Functional Programming , Volume 6 , Issue 3 , May 1996 , pp. 519 - 526
Copyright
Copyright © Cambridge University Press 1996

References

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