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DOI: 10.4230/LIPIcs.RTA.2010.193
URN: urn:nbn:de:0030-drops-26537
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Kutsia, Temur ; Marin, Mircea

Order-Sorted Unification with Regular Expression Sorts

10002.KutsiaTemur.2653.pdf (0.2 MB)


We extend first-order order-sorted unification by permitting regular expression sorts for variables and in the domains of function symbols. The set of basic sorts is finite. The obtained signature corresponds to a finite bottom-up hedge automaton. The unification problem in such a theory generalizes some known unification problems. Its unification type is infinitary. We give a complete unification procedure and prove decidability.

BibTeX - Entry

  author =	{Temur Kutsia and Mircea Marin},
  title =	{{Order-Sorted Unification with Regular Expression Sorts}},
  booktitle =	{Proceedings of the 21st International Conference on Rewriting Techniques and Applications},
  pages =	{193--208},
  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-26537},
  doi =		{10.4230/LIPIcs.RTA.2010.193},
  annote =	{Keywords: Unification, sorts, regular expression}

Keywords: Unification, sorts, regular expression
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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