The Z Property

Bertram Felgenhauer, Julian Nagele, Vincent van Oostrom and Christian Sternagel 📧

June 30, 2016

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.

Abstract

We formalize the Z property introduced by Dehornoy and van Oostrom. First we show that for any abstract rewrite system, Z implies confluence. Then we give two examples of proofs using Z: confluence of lambda-calculus with respect to beta-reduction and confluence of combinatory logic.

License

BSD License

Topics

Session Rewriting_Z

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Cite

× 
@article{Rewriting_Z-AFP,
  author  = {Bertram Felgenhauer and Julian Nagele and Vincent van Oostrom and Christian Sternagel},
  title   = {The Z Property},
  journal = {Archive of Formal Proofs},
  month   = {June},
  year    = {2016},
  note    = {\url{https://isa-afp.org/entries/Rewriting_Z.html},
             Formal proof development},
  ISSN    = {2150-914x},
}
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