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DOI: 10.4230/LIPIcs.FSCD.2020.20

Adaptive Non-Linear Pattern Matching Automata

Authors: Rick Erkens and Maurice Laveaux

Published in: LIPIcs, Volume 167, 5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020)

Abstract

Efficient pattern matching is fundamental for practical term rewrite engines. By preprocessing the given patterns into a finite deterministic automaton the matching patterns can be decided in a single traversal of the relevant parts of the input term. Most automaton-based techniques are restricted to linear patterns, where each variable occurs at most once, and require an additional post-processing step to check so-called variable consistency. However, we can show that interleaving the variable consistency and pattern matching phases can reduce the number of required steps to find a match all matches. Therefore, we take the existing adaptive pattern matching automata as introduced by Sekar et al and extend it these with consistency checks. We prove that the resulting deterministic pattern matching automaton is correct, and show that its evaluation depth is can be shorter than two-phase approaches.

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Rick Erkens and Maurice Laveaux. Adaptive Non-Linear Pattern Matching Automata. In 5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 167, pp. 20:1-20:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

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@InProceedings{erkens_et_al:LIPIcs.FSCD.2020.20,
  author =	{Erkens, Rick and Laveaux, Maurice},
  title =	{{Adaptive Non-Linear Pattern Matching Automata}},
  booktitle =	{5th International Conference on Formal Structures for Computation and Deduction (FSCD 2020)},
  pages =	{20:1--20:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-155-9},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{167},
  editor =	{Ariola, Zena M.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2020.20},
  URN =		{urn:nbn:de:0030-drops-123427},
  doi =		{10.4230/LIPIcs.FSCD.2020.20},
  annote =	{Keywords: Pattern matching, Term indexing, Tree automata}
}

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Adaptive Non-Linear Pattern Matching Automata

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