Show simple item record

dc.contributor.authorBrzozowski, Janusz
dc.contributor.authorJirásková, Galina
dc.contributor.authorZou, Chenglong
dc.date.accessioned2017-09-29 14:03:08 (GMT)
dc.date.available2017-09-29 14:03:08 (GMT)
dc.date.issued2014-02-01
dc.identifier.urihttp://dx.doi.org/10.1007/s00224-013-9515-7
dc.identifier.urihttp://hdl.handle.net/10012/12511
dc.descriptionThe final publication is available at Springer via http://dx.doi.org/10.1007/s00224-013-9515-7en
dc.description.abstractA language L is prefix-closed if, whenever a word w is in L, then every prefix of w is also in L. We define suffix-, factor-, and subword-closed languages in an analogous way, where by factor we mean contiguous subsequence, and by subword we mean scattered subsequence. We study the state complexity (which we prefer to call quotient complexity) of operations on prefix-, suffix-, factor-, and subword-closed languages. We find tight upper bounds on the complexity of the subword-closure of arbitrary languages, and on the complexity of boolean operations, concatenation, star, and reversal in each of the four classes of closed languages. We show that repeated applications of positive closure and complement to a closed language result in at most four distinct languages, while Kleene closure and complement give at most eight.en
dc.description.sponsorshipNatural Sciences and Engineering Research Council of Canada [OGP0000871]en
dc.description.sponsorshipVEGA grant [2/0183/11]en
dc.description.sponsorship[APVV-0035-10]en
dc.language.isoenen
dc.publisherSpringeren
dc.subjectClosed languageen
dc.subjectFinite automatonen
dc.subjectQuotient complexityen
dc.subjectRegular languageen
dc.subjectState complexityen
dc.titleQuotient Complexity Of Closed Languagesen
dc.typeArticleen
dcterms.bibliographicCitationBrzozowski, J., Jirásková, G., & Zou, C. (2014). Quotient Complexity of Closed Languages. Theory of Computing Systems, 54(2), 277–292. https://doi.org/10.1007/s00224-013-9515-7en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2David R. Cheriton School of Computer Scienceen
uws.typeOfResourceTexten
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record


UWSpace

University of Waterloo Library
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
519 888 4883

All items in UWSpace are protected by copyright, with all rights reserved.

DSpace software

Service outages