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DOI: 10.4230/LIPIcs.RTA.2013.271

Unification Modulo Nonnested Recursion Schemes via Anchored Semi-Unification

Authors: Gert Smolka and Tobias Tebbi

Published in: LIPIcs, Volume 21, 24th International Conference on Rewriting Techniques and Applications (RTA 2013)

Abstract

A recursion scheme is an orthogonal rewriting system with rules of the form f(x1,...,xn) -> s. We consider terms to be equivalent if they rewrite to the same redex-free possibly infinite term after infinitary rewriting. For the restriction to the nonnested case, where nested redexes are forbidden, we prove the existence of principal unifiers modulo scheme equivalence. We give an algorithm computing principal unifiers by reducing the problem to a novel fragment of semi-unification we call anchored semi-unification. For anchored semi-unification, we develop a decision algorithm that returns a principal semi-unifier in the positive case.

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Gert Smolka and Tobias Tebbi. Unification Modulo Nonnested Recursion Schemes via Anchored Semi-Unification. In 24th International Conference on Rewriting Techniques and Applications (RTA 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 21, pp. 271-286, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@InProceedings{smolka_et_al:LIPIcs.RTA.2013.271,
  author =	{Smolka, Gert and Tebbi, Tobias},
  title =	{{Unification Modulo Nonnested Recursion Schemes via Anchored Semi-Unification}},
  booktitle =	{24th International Conference on Rewriting Techniques and Applications (RTA 2013)},
  pages =	{271--286},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-53-8},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{21},
  editor =	{van Raamsdonk, Femke},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.RTA.2013.271},
  URN =		{urn:nbn:de:0030-drops-40674},
  doi =		{10.4230/LIPIcs.RTA.2013.271},
  annote =	{Keywords: recursion schemes, semi-unification, infinitary rewriting}
}

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Unification Modulo Nonnested Recursion Schemes via Anchored Semi-Unification

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