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• W3101932690 abstract "We present a type theory with some proof-irrelevance built into the conversion rule. We argue that this feature is useful when type theory is used as the logical formalism underlying a theorem prover. We also show a close relation with the subset types of the theory of PVS. We show that in these theories, because of the additional extentionality, the axiom of choice implies the decidability of equality, that is, almost classical logic. Finally we describe a simple set-theoretic semantics." @default.
• W3101932690 created "2020-11-23" @default.
• W3101932690 creator A5011254944 @default.
• W3101932690 date "2008-09-26" @default.
• W3101932690 modified "2023-09-24" @default.
• W3101932690 title "On the strength of proof-irrelevant type theories" @default.
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• W3101932690 doi "https://doi.org/10.2168/lmcs-4(3:13)2008" @default.
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