English

Extending the Extensional Lambda Calculus with Surjective Pairing is Conservative

Logic 2017-01-11 v3

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.

Keywords

Cite

@article{arxiv.math/0602544,
  title  = {Extending the Extensional Lambda Calculus with Surjective Pairing is Conservative},
  author = {Kristian Stoevring},
  journal= {arXiv preprint arXiv:math/0602544},
  year   = {2017}
}

Comments

To appear in Logical Methods in Computer Science