English

Extensionality of lambda-*

Logic in Computer Science 2014-01-07 v1

Abstract

We prove an extensionality theorem for the "type-in-type" dependent type theory with Sigma-types. We suggest that the extensional equality type be identified with the logical equivalence relation on the free term model of type theory.

Keywords

Cite

@article{arxiv.1401.1139,
  title  = {Extensionality of lambda-*},
  author = {Andrew Polonsky},
  journal= {arXiv preprint arXiv:1401.1139},
  year   = {2014}
}

Comments

25 pages

R2 v1 2026-06-22T02:39:51.204Z