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DOI: 10.4230/LIPIcs.MFCS.2019.62
URN: urn:nbn:de:0030-drops-110066
URL: https://drops.dagstuhl.de/opus/volltexte/2019/11006/
Czerwinski, Wojciech ; Lasota, Slawomir ; Löding, Christof ; Piórkowski, Radoslaw
New Pumping Technique for 2-Dimensional VASS
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Abstract
We propose a new pumping technique for 2-dimensional vector addition systems with states (2-VASS) building on natural geometric properties of runs. We illustrate its applicability by reproving an exponential bound on the length of the shortest accepting run, and by proving a new pumping lemma for languages of 2-VASS. The technique is expected to be useful for settling questions concerning languages of 2-VASS, e.g., for establishing decidability status of the regular separability problem.
BibTeX - Entry
@InProceedings{czerwinski_et_al:LIPIcs:2019:11006,
author = {Wojciech Czerwinski and Slawomir Lasota and Christof L{\"o}ding and Radoslaw Pi{\'o}rkowski},
title = {{New Pumping Technique for 2-Dimensional VASS}},
booktitle = {44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019)},
pages = {62:1--62:14},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-117-7},
ISSN = {1868-8969},
year = {2019},
volume = {138},
editor = {Peter Rossmanith and Pinar Heggernes and Joost-Pieter Katoen},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2019/11006},
URN = {urn:nbn:de:0030-drops-110066},
doi = {10.4230/LIPIcs.MFCS.2019.62},
annote = {Keywords: vector addition systems with states, pumping, decidability}
}
| Keywords: | vector addition systems with states, pumping, decidability | |
| Seminar: | 44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019) | |
| Issue date: | 2019 | |
| Date of publication: | 20.08.2019 |
