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Extending the Extensional Lambda Calculus with Surjective Pairing is Conservative

Kristian Stoevring
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Abstract

We answer Klop and de Vrijer's question whether adding surjective-pairing axioms to the extensional lambda calculus yields a conservative extension. The answer is positive. As a byproduct we obtain a "syntactic" proof that the extensional lambda calculus with surjective pairing is consistent.

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Kristian Stoevring. 2006-02-24. Extending the Extensional Lambda Calculus with Surjective Pairing is Conservative. https://doi.org/10.2168/lmcs-2(2:1)2006

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