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The groupoid model refutes uniqueness of identity proofs | IEEE Conference Publication | IEEE Xplore

The groupoid model refutes uniqueness of identity proofs


Abstract:

We give a model of intensional Martin-Lof type theory based on groupoids and fibrations of groupoids in which identity types may contain two distinct elements which are n...Show More

Abstract:

We give a model of intensional Martin-Lof type theory based on groupoids and fibrations of groupoids in which identity types may contain two distinct elements which are not even prepositionally equal. This shows that the principle of uniqueness of identity proofs is not derivable in the syntax.<>
Date of Conference: 04-07 July 1994
Date Added to IEEE Xplore: 06 August 2002
Print ISBN:0-8186-6310-3
Conference Location: Paris, France

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