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

Published online by Cambridge University Press:  07 November 2008

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.

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Articles
Copyright
Copyright © Cambridge University Press 1996

References

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