Extending the Extensional Lambda Calculus with Surjective Pairing is Conservative

Kristian StÝvring

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

Available as PostScript, PDF, DVI.

Formal proof.

 

Last modified: 2006-03-07 by webmaster.