1 Search Results for "Birkmann, Fabian"

Track B: Automata, Logic, Semantics, and Theory of Programming
Nominal Topology for Data Languages

Authors: Fabian Birkmann, Stefan Milius, and Henning Urbat

Published in: LIPIcs, Volume 261, 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)

We propose a novel topological perspective on data languages recognizable by orbit-finite nominal monoids. For this purpose, we introduce pro-orbit-finite nominal topological spaces. Assuming globally bounded support sizes, they coincide with nominal Stone spaces and are shown to be dually equivalent to a subcategory of nominal boolean algebras. Recognizable data languages are characterized as topologically clopen sets of pro-orbit-finite words. In addition, we explore the expressive power of pro-orbit-finite equations by establishing a nominal version of Reiterman’s pseudovariety theorem.

Cite as

Fabian Birkmann, Stefan Milius, and Henning Urbat. Nominal Topology for Data Languages. In 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 261, pp. 114:1-114:21, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2023)

Copy BibTex To Clipboard

  author =	{Birkmann, Fabian and Milius, Stefan and Urbat, Henning},
  title =	{{Nominal Topology for Data Languages}},
  booktitle =	{50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)},
  pages =	{114:1--114:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-278-5},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{261},
  editor =	{Etessami, Kousha and Feige, Uriel and Puppis, Gabriele},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2023.114},
  URN =		{urn:nbn:de:0030-drops-181662},
  doi =		{10.4230/LIPIcs.ICALP.2023.114},
  annote =	{Keywords: Nominal sets, Stone duality, Profinite space, Data languages}
  • Refine by Author
  • 1 Birkmann, Fabian
  • 1 Milius, Stefan
  • 1 Urbat, Henning

  • Refine by Classification
  • 1 Theory of computation → Formal languages and automata theory

  • Refine by Keyword
  • 1 Data languages
  • 1 Nominal sets
  • 1 Profinite space
  • 1 Stone duality

  • Refine by Type
  • 1 document

  • Refine by Publication Year
  • 1 2023

Questions / Remarks / Feedback

Feedback for Dagstuhl Publishing

Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail