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TitleOptimal algorithms for the coverability, the subword, the containment, and the equivalence problems for commutative semigroups
Author(s) Ulla Koppenhagen, Ernst W. Mayr
TypeArticle in Journal
AbstractIn this paper, we present decision procedures for the
coverability, the subword, the containment, and the equivalence problems for commutative semigroups. These procedures require at most space $2^c cdots
n$, where $n$ is the size of the problem instance, and $c$ is some problem
independent constant. Furthermore, we show that the exponential space hardness of the above problems follows from the work of Mayr and Meyer. Thus, the presented algorithms are space optimal. Our results close the gap between the $2^c
Length27
URL http://dx.doi.org/10.1006/inco.1999.2812
LanguageEnglish
JournalInf.~Comput.
Volume158
Number2
Pages98-124
PublisherAcademic Press: Orlando
Year2000
EditorMeyer, Albert R.
Translation No
Refereed No
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