License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.MFCS.2020.40
URN: urn:nbn:de:0030-drops-127071
URL: https://drops.dagstuhl.de/opus/volltexte/2020/12707/
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Ganty, Pierre ; Gutiérrez, Elena ; Valero, Pedro

A Quasiorder-Based Perspective on Residual Automata

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LIPIcs-MFCS-2020-40.pdf (0.5 MB)


Abstract

In this work, we define a framework of automata constructions based on quasiorders over words to provide new insights on the class of residual automata. We present a new residualization operation and a generalized double-reversal method for building the canonical residual automaton for a given language. Finally, we use our framework to offer a quasiorder-based perspective on NL^*, an online learning algorithm for residual automata. We conclude that quasiorders are fundamental to residual automata as congruences are to deterministic automata.

BibTeX - Entry

@InProceedings{ganty_et_al:LIPIcs:2020:12707,
  author =	{Pierre Ganty and Elena Guti{\'e}rrez and Pedro Valero},
  title =	{{A Quasiorder-Based Perspective on Residual Automata}},
  booktitle =	{45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020)},
  pages =	{40:1--40:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-159-7},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{170},
  editor =	{Javier Esparza and Daniel Kr{\'a}ľ},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12707},
  URN =		{urn:nbn:de:0030-drops-127071},
  doi =		{10.4230/LIPIcs.MFCS.2020.40},
  annote =	{Keywords: Residual Automata, Quasiorders, Double-Reversal Method, Canonical RFA, Regular Languages}
}

Keywords: Residual Automata, Quasiorders, Double-Reversal Method, Canonical RFA, Regular Languages
Collection: 45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020)
Issue Date: 2020
Date of publication: 18.08.2020


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