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.CONCUR.2020.36
URN: urn:nbn:de:0030-drops-128486
URL: https://drops.dagstuhl.de/opus/volltexte/2020/12848/
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Czerwiński, Wojciech ; Figueira, Diego ; Hofman, Piotr

Universality Problem for Unambiguous VASS

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LIPIcs-CONCUR-2020-36.pdf (2 MB)


Abstract

We study languages of unambiguous VASS, that is, Vector Addition Systems with States, whose transitions read letters from a finite alphabet, and whose acceptance condition is defined by a set of final states (i.e., the coverability language). We show that the problem of universality for unambiguous VASS is ExpSpace-complete, in sheer contrast to Ackermann-completeness for arbitrary VASS, even in dimension 1. When the dimension d ∈ ℕ is fixed, the universality problem is PSpace-complete if d ≥ 2, and coNP-hard for 1-dimensional VASSes (also known as One Counter Nets).

BibTeX - Entry

@InProceedings{czerwiski_et_al:LIPIcs:2020:12848,
  author =	{Wojciech Czerwiński and Diego Figueira and Piotr Hofman},
  title =	{{Universality Problem for Unambiguous VASS}},
  booktitle =	{31st International Conference on Concurrency Theory (CONCUR 2020)},
  pages =	{36:1--36:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-160-3},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{171},
  editor =	{Igor Konnov and Laura Kov{\'a}cs},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12848},
  URN =		{urn:nbn:de:0030-drops-128486},
  doi =		{10.4230/LIPIcs.CONCUR.2020.36},
  annote =	{Keywords: unambiguity, vector addition systems, universality problems}
}

Keywords: unambiguity, vector addition systems, universality problems
Collection: 31st International Conference on Concurrency Theory (CONCUR 2020)
Issue Date: 2020
Date of publication: 26.08.2020


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