Decreasing Diagrams

Harald Zankl 🌐

November 1, 2013

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

This theory contains a formalization of decreasing diagrams showing that any locally decreasing abstract rewrite system is confluent. We consider the valley (van Oostrom, TCS 1994) and the conversion version (van Oostrom, RTA 2008) and closely follow the original proofs. As an application we prove Newman's lemma.

License

GNU Lesser General Public License (LGPL)

Topics

Session Decreasing-Diagrams

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Cite

× 
@article{Decreasing-Diagrams-AFP,
  author  = {Harald Zankl},
  title   = {Decreasing Diagrams},
  journal = {Archive of Formal Proofs},
  month   = {November},
  year    = {2013},
  note    = {\url{https://isa-afp.org/entries/Decreasing-Diagrams.html},
             Formal proof development},
  ISSN    = {2150-914x},
}
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