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  • The classes of languages which are boolean combinations of languages of the form $A^*a_1A^*a_2A^*\dots A^*a_\ell A^*$, where $a_1,\dots, a_\ell\in A,\ell\le k$, for a fixed $k\ge 0$, form a natural hierarchy within piecewise testable languages and have been studied in papers 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 generating monoids for 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 $k$ equal to 1 and 2 and there is no finite basis for $k\ge 4$ (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 $A^*a_1A^*a_2A^*\dots A^*a_\ell A^*$, where $a_1,\dots, a_\ell\in A,\ell\le k$, for a fixed $k\ge 0$, form a natural hierarchy within piecewise testable languages and have been studied in papers 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 generating monoids for 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 $k$ equal to 1 and 2 and there is no finite basis for $k\ge 4$ (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/00216224:14310/08:00025337!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/06/0936), Z(MSM0021622409)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 370042
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/08:00025337
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • varieties of languages; piecewise testable languages; syntactic monoid (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [AB245377A3BC]
http://linked.open...v/mistoKonaniAkce
  • Kyoto (Japan)
http://linked.open...i/riv/mistoVydani
  • Berlin Heidelberg (Germany)
http://linked.open...i/riv/nazevZdroje
  • Developments in Language Theory
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Klíma, Ondřej
  • Polák, Libor
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000260092300038
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
issn
  • 0302-9743
number of pages
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  • Springer-Verlag
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  • 978-3-540-85779-2
http://localhost/t...ganizacniJednotka
  • 14310
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