Restarting automata with restricted utilization of auxiliary symbols

dc.date.accessioned2006-04-04T12:38:45Z
dc.date.available2006-04-04T12:38:45Z
dc.date.issued2005
dc.format.extent256102 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.uriurn:nbn:de:hebis:34-200604048993
dc.identifier.urihttp://hdl.handle.net/123456789/200604048993
dc.language.isoeng
dc.publisherUniversität Kassel, FB 17, Mathematik/Informatikeng
dc.rightsUrheberrechtlich geschützt
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectRestarting automationeng
dc.subjectDescriptional complexityeng
dc.subjectAuxiliary symboleng
dc.subject.ddc004
dc.titleRestarting automata with restricted utilization of auxiliary symbolseng
dc.typePreprint
dcterms.abstractThe restarting automaton is a restricted model of computation that was introduced by Jancar et al. to model the so-called analysis by reduction, which is a technique used in linguistics to analyze sentences of natural languages. The most general models of restarting automata make use of auxiliary symbols in their rewrite operations, although this ability does not directly correspond to any aspect of the analysis by reduction. Here we put restrictions on the way in which restarting automata use auxiliary symbols, and we investigate the influence of these restrictions on their expressive power. In fact, we consider two types of restrictions. First, we consider the number of auxiliary symbols in the tape alphabet of a restarting automaton as a measure of its descriptional complexity. Secondly, we consider the number of occurrences of auxiliary symbols on the tape as a dynamic complexity measure. We establish some lower and upper bounds with respect to these complexity measures concerning the ability of restarting automata to recognize the (deterministic) context-free languages and some of their subclasses.eng
dcterms.accessRightsopen access
dcterms.creatorJurdzinski, Tomasz
dcterms.creatorOtto, Friedrich
dcterms.isPartOfMathematische Schriften Kasseleng
dcterms.isPartOf05, 02eng
dcterms.source.journalMathematische Schriften Kassel
dcterms.source.volume05, 02

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