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DOI: 10.4230/LIPIcs.RTA.2010.17
URN: urn:nbn:de:0030-drops-26427
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Appel, Claus ; van Oostrom, Vincent ; Simonsen, Jakob Grue

Higher-Order (Non-)Modularity

10002.AppelClaus.2642.pdf (0.2 MB)


We show that, contrary to the situation in first-order
term rewriting, almost none of the usual properties of
rewriting are modular for higher-order rewriting, irrespective
of the higher-order rewriting format.
We show that for the particular format of simply typed
applicative term rewriting systems modularity of confluence,
normalization, and termination can be recovered
by imposing suitable linearity constraints.

BibTeX - Entry

  author =	{Claus Appel and Vincent van Oostrom and Jakob Grue Simonsen},
  title =	{{Higher-Order (Non-)Modularity }},
  booktitle =	{Proceedings of the 21st International Conference on Rewriting Techniques and Applications},
  pages =	{17--32},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-18-7},
  ISSN =	{1868-8969},
  year =	{2010},
  volume =	{6},
  editor =	{Christopher Lynch},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-26427},
  doi =		{10.4230/LIPIcs.RTA.2010.17},
  annote =	{Keywords: Higher-order rewriting, modularity, termination, normalization}

Keywords: Higher-order rewriting, modularity, termination, normalization
Collection: Proceedings of the 21st International Conference on Rewriting Techniques and Applications
Issue Date: 2010
Date of publication: 06.07.2010

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