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Extending the Extensional Lambda Calculus with Surjective Pairing is
Conservative
Kristian Støvring March 2006 |
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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