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Bidirectional string assembling systems

Published online by Cambridge University Press:  20 January 2014

Martin Kutrib  and
Matthias Wendlandt
Martin Kutrib
Affiliation:
Institut für Informatik, Universität Giessen, Arndtstr. 2, 35392 Giessen, Germany.. Martin.Kutrib@informatik.uni-giessen.de, matthias.wendlandt@informatik.uni-giessen.de
Matthias Wendlandt
Affiliation:
Institut für Informatik, Universität Giessen, Arndtstr. 2, 35392 Giessen, Germany.. Martin.Kutrib@informatik.uni-giessen.de, matthias.wendlandt@informatik.uni-giessen.de
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Abstract

We introduce and investigate several variants of a bidirectional string assembling system, which is a computational model that generates strings from copies of assembly units. The underlying mechanism is based on two-sided piecewise assembly of a double-stranded sequence of symbols, where the upper and lower strand have to match. The generative capacities and the relative power of the variants are our main interest. In particular, we prove that bidirectional string assembling system generate languages not represented as any finite concatenation of one-sided string assembling systems. The latter build an infinite, strict and tight concatenation hierarchy. Moreover, it is shown that even the strongest system in question can only generate NL languages, while there are unary regular languages that cannot be derived. Furthermore, a finite strict hierarchy with respect to the different variants considered is shown and closure properties of the languages generated are presented.

Keywords

String assemblingdouble-stranded sequencesconcatenation hierarchystatelessmulti-head finite automataclosure properties
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 48 , Issue 1: Non-Classical Models of Automata and Applications (NCMA 2012) , January 2014 , pp. 39 - 59
Copyright
© EDP Sciences 2013

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