Extending the Extensional Lambda Calculus with Surjective Pairing is Conservative

Kristian StÝvring

2005

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 the first ``syntactic'' proof that the extensional lambda calculus with surjective pairing is consistent

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