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Extending the Extensional Lambda Calculus with Surjective Pairing is Conservative
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.Comment: To appear in Logical Methods in Computer Scienc