About: Hierarchies of piecewise testable languages

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The classes of languages which are Boolean combinations of languages of the form A(a1)A(a2)A... A(am)A, where a1,...,am are letters, with k>m, for a fixed k > 0, form a natural hierarchy within piecewise testable languages and have been studied by Simon, Blanchet-Sadri, Volkov and others. The main issues were the existence of finite bases of identities for the corresponding pseudovarieties of monoids and monoids generating these pseudovarieties. Here we deal with similar questions concerning the finite unions and positive Boolean combinations of the languages of the form above. In the first case the corresponding pseudovarieties are given by a single identity, in the second case there are finite bases for k equals to 1 and 2 and there is no finite basis for k >3 (the case k = 3 remains open). All the pseudovarieties are generated by a single algebraic structure. The classes of languages which are Boolean combinations of languages of the form A(a1)A(a2)A... A(am)A, where a1,...,am are letters, with k>m, for a fixed k > 0, form a natural hierarchy within piecewise testable languages and have been studied by Simon, Blanchet-Sadri, Volkov and others. The main issues were the existence of finite bases of identities for the corresponding pseudovarieties of monoids and monoids generating these pseudovarieties. Here we deal with similar questions concerning the finite unions and positive Boolean combinations of the languages of the form above. In the first case the corresponding pseudovarieties are given by a single identity, in the second case there are finite bases for k equals to 1 and 2 and there is no finite basis for k >3 (the case k = 3 remains open). All the pseudovarieties are generated by a single algebraic structure. (en)
Title	Hierarchies of piecewise testable languages Hierarchies of piecewise testable languages (en)
skos:prefLabel	Hierarchies of piecewise testable languages Hierarchies of piecewise testable languages (en)
skos:notation	RIV/00216224:14310/10:00047228!RIV11-GA0-14310___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1M0545), P(GA201/09/1313), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Polák, Libor Klíma, Ondřej
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	261492
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/10:00047228
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	varieties of languages; piecewise testable languages; syntactic monoid (en)
http://linked.open.../riv/klicoveSlovo	syntactic monoid varieties of languages piecewise testable languages
http://linked.open...odStatuVydavatele	SG - Singapurská republika
http://linked.open...ontrolniKodProRIV	[7E012E190EED]
http://linked.open...i/riv/nazevZdroje	International Journal of Foundations of Computer Science
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Institute for Theoretical Computer Science Algebraic Methods in Automata and Formal Language Theory II
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	21
http://linked.open...iv/tvurceVysledku	Klíma, Ondřej Polák, Libor
http://linked.open...ain/vavai/riv/wos	000280773400004
http://linked.open...n/vavai/riv/zamer	Matematické struktury a jejich fyzikální aplikace
issn	0129-0541
number of pages	17 (xsd:int)
http://localhost/t...ganizacniJednotka	14310

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