A simple and complete model theory for intensional and extensional untyped λ-equality

13 pages•Published: February 12, 2014

Abstract

We present a sound and complete model theory for theories of β-reduction with or without η-expansion. We then show in what conditions we obtain models of β-equality and βη-equality.

In: Andrei Voronkov and Margarita Korovina (editors). HOWARD-60. A Festschrift on the Occasion of Howard Barringer's 60th Birthday, vol 42, pages 165-177.

Links:	https://easychair.org/publications/paper/MdN2
	https://doi.org/10.29007/2vzl

BibTeX entry

@inproceedings{HOWARD-60:simple_complete_model_theory,
  author    = {Michael Gabbay},
  title     = {A simple and complete model theory for intensional and extensional untyped λ-equality},
  booktitle = {HOWARD-60. A Festschrift on the Occasion of Howard Barringer's 60th Birthday},
  editor    = {Andrei Voronkov and Margarita Korovina},
  series    = {EPiC Series in Computing},
  volume    = {42},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/MdN2},
  doi       = {10.29007/2vzl},
  pages     = {165-177},
  year      = {2014}}

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