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DOI: 10.4230/LIPIcs.CPM.2022.5

Mechanical Proving with Walnut for Squares and Cubes in Partial Words

Authors: John Machacek

Published in: LIPIcs, Volume 223, 33rd Annual Symposium on Combinatorial Pattern Matching (CPM 2022)

Abstract

Walnut is a software that can prove theorems in combinatorics on words about automatic sequences. We are able to apply this software to both prove new results as well as reprove some old results on avoiding squares and cubes in partial words. We also define the notion of an antisquare in a partial word and begin the study of binary partial words which contain only a fixed number of distinct squares and antisquares.

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John Machacek. Mechanical Proving with Walnut for Squares and Cubes in Partial Words. In 33rd Annual Symposium on Combinatorial Pattern Matching (CPM 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 223, pp. 5:1-5:11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@InProceedings{machacek:LIPIcs.CPM.2022.5,
  author =	{Machacek, John},
  title =	{{Mechanical Proving with Walnut for Squares and Cubes in Partial Words}},
  booktitle =	{33rd Annual Symposium on Combinatorial Pattern Matching (CPM 2022)},
  pages =	{5:1--5:11},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-234-1},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{223},
  editor =	{Bannai, Hideo and Holub, Jan},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2022.5},
  URN =		{urn:nbn:de:0030-drops-161320},
  doi =		{10.4230/LIPIcs.CPM.2022.5},
  annote =	{Keywords: Partial words, squares, antisquares, cubes, Walnut}
}

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Mechanical Proving with Walnut for Squares and Cubes in Partial Words

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