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On the star-height of subword counting languages and their relationship to Rees zero-matrix semigroups
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dc.contributor.author | Bourne, Tom | |
dc.contributor.author | Ruškuc, Nik | |
dc.date.accessioned | 2017-10-05T23:32:22Z | |
dc.date.available | 2017-10-05T23:32:22Z | |
dc.date.issued | 2016-11-15 | |
dc.identifier | 246307305 | |
dc.identifier | e8ec086c-5cdc-4ab7-83e3-17c64cfdb491 | |
dc.identifier | 84992046926 | |
dc.identifier | 000387627500007 | |
dc.identifier.citation | Bourne , T & Ruškuc , N 2016 , ' On the star-height of subword counting languages and their relationship to Rees zero-matrix semigroups ' , Theoretical Computer Science , vol. 653 , pp. 87-96 . https://doi.org/10.1016/j.tcs.2016.09.024 | en |
dc.identifier.issn | 0304-3975 | |
dc.identifier.other | ORCID: /0000-0003-2415-9334/work/73702080 | |
dc.identifier.uri | https://hdl.handle.net/10023/11811 | |
dc.description.abstract | Given a word w over a finite alphabet, we consider, in three special cases, the generalised star-height of the languages in which w occurs as a contiguous subword (factor) an exact number of times and of the languages in which w occurs as a contiguous subword modulo a fixed number, and prove that in each case it is at most one. We use these combinatorial results to show that any language recognised by a Rees (zero-)matrix semigroup over an abelian group is of generalised star-height at most one. | |
dc.format.extent | 303329 | |
dc.language.iso | eng | |
dc.relation.ispartof | Theoretical Computer Science | en |
dc.subject | Regular language | en |
dc.subject | Star-height | en |
dc.subject | Subword | en |
dc.subject | Rees matrix semigroup | en |
dc.subject | QA75 Electronic computers. Computer science | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA75 | en |
dc.title | On the star-height of subword counting languages and their relationship to Rees zero-matrix semigroups | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. School of Mathematics and Statistics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1016/j.tcs.2016.09.024 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2017-10-05 | |
dc.identifier.grantnumber | GR/S53503/01 | en |
dc.identifier.grantnumber | EP/H011978/1 | en |
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