Extending the Extensional Lambda Calculus with Surjective Pairing is Conservative

Kristian Støvring

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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DOI: http://dx.doi.org/10.7146/brics.v13i5.21911
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ISSN: 0909-0878 

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