### 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

- Logic/Rewriting

### Session Rewriting_Z

- Z
- Lambda_Z
- CL_Z

### Depends on

- Abstract Rewriting
- Nominal 2

### Auto-related entries

- Decreasing Diagrams II
- Decreasing Diagrams

## Cite

×

Rewriting_Z-AFP

    @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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