On Upper and Lower Bounds on the Length of Alternating Towers

Štěpán HolubŠtěpán Holub, Galina JiráskováGalina Jirásková, Tomáš MasopustTomáš Masopust

ISBN: 978-3-662-44521-1
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Štěpán Holub, Galina Jirásková, Tomáš Masopust
On Upper and Lower Bounds on the Length of Alternating Towers
In E. Csuhaj-Varju, M. Dietzfelbinger, Z. Esik, eds., Mathematical Foundations of Computer Science (MFCS), volume 8634 of LNCS, 315-326, 2014. Springer

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KurzfassungAbstract
A tower between two regular languages is a sequence of strings such that all strings on odd positions belong to one of the languages, all strings on even positions belong to the other language, and each string can be embedded into the next string in the sequence. It is known that if there are towers of any length, then there also exists an infinite tower. We investigate upper and lower bounds on the length of finite towers between two regular languages with respect to the size of the automata representing the languages in the case there is no infinite tower. This problem is relevant to the separation problem of regular languages by piecewise testable languages.
Projekt:Project: DIAMOND
Forschungsgruppe:Research Group: Wissensbasierte SystemeKnowledge-Based Systems

The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-662-44522-8_27.

@inproceedings{HJM2014,
  author    = {{\v{S}}t{\v{e}}p{\'{a}}n Holub and Galina Jir{\'{a}}skov{\'{a}}
               and Tom{\'{a}}{\v{s}} Masopust},
  title     = {On Upper and Lower Bounds on the Length of Alternating Towers},
  editor    = {E. Csuhaj-Varju and M. Dietzfelbinger and Z. Esik},
  booktitle = {Mathematical Foundations of Computer Science (MFCS)},
  series    = {LNCS},
  volume    = {8634},
  publisher = {Springer},
  year      = {2014},
  pages     = {315-326},
  doi       = {10.1007/978-3-662-44522-8_27}
}