Extending the Extensional Lambda Calculus with Surjective Pairing is Conservative
arXiv:math/0602544 · doi:10.2168/LMCS-2(2:1)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 a "syntactic" proof that the extensional lambda calculus with surjective pairing is consistent.
To appear in Logical Methods in Computer Science