Beta reduction is invariant, indeed. Accattoli, B. & Lago, U. D. In Henzinger, T. A. & Miller, D., editors, Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), CSL-LICS '14, Vienna, Austria, July 14 - 18, 2014, pages 8:1–8:10, 2014. ACM.
Beta reduction is invariant, indeed [link]Paper  doi  bibtex   
@inproceedings{DBLP:conf/csl/AccattoliL14,
  author       = {Beniamino Accattoli and
                  Ugo Dal Lago},
  editor       = {Thomas A. Henzinger and
                  Dale Miller},
  title        = {Beta reduction is invariant, indeed},
  booktitle    = {Joint Meeting of the Twenty-Third {EACSL} Annual Conference on Computer
                  Science Logic {(CSL)} and the Twenty-Ninth Annual {ACM/IEEE} Symposium
                  on Logic in Computer Science (LICS), {CSL-LICS} '14, Vienna, Austria,
                  July 14 - 18, 2014},
  pages        = {8:1--8:10},
  publisher    = {{ACM}},
  year         = {2014},
  url          = {https://doi.org/10.1145/2603088.2603105},
  doi          = {10.1145/2603088.2603105},
  timestamp    = {Fri, 27 Mar 2020 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/csl/AccattoliL14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

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