The law of excluded middle in the simplicial model of type theory
Theory and applications of categories, Tome 35 (2020), pp. 1546-1548
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We show that the law of excluded middle holds in Voevodsky's simplicial model of type theory. As a corollary, excluded middle is compatible with univalence.
Publié le :
Classification :
03B15 (primary), 55U10, 18C50
Keywords: Univalent foundations, homotopy type theory, simplicial sets, law of excluded middle, dependent type theory
Keywords: Univalent foundations, homotopy type theory, simplicial sets, law of excluded middle, dependent type theory
@article{TAC_2020_35_a39,
author = {Chris Kapulkin and Peter LeFanu Lumsdaine},
title = {The law of excluded middle in the simplicial model of type theory},
journal = {Theory and applications of categories},
pages = {1546--1548},
year = {2020},
volume = {35},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a39/}
}
Chris Kapulkin; Peter LeFanu Lumsdaine. The law of excluded middle in the simplicial model of type theory. Theory and applications of categories, Tome 35 (2020), pp. 1546-1548. http://geodesic.mathdoc.fr/item/TAC_2020_35_a39/