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  • An effective characterization of piecewise testable languages was given by Simon in 1972. A difficult part of the proof is to show that if L has a J -trivial syntactic monoid M(L) then L is k-piecewise testable for a suitable k. By Simon’s original proof, an appropriate k could be taken as two times the maximal length of a chain of ideals in M(L) . In this paper we improve this estimate of k using the concept of biautomaton: a kind of finite automaton which arbitrarily alternates between reading the input word from the left and from the right. We prove that an appropriate k could be taken as the length of the longest simple path in the canonical biautomaton of L. We also show that this bound is better than the known bounds which use the syntactic monoid of L.
  • An effective characterization of piecewise testable languages was given by Simon in 1972. A difficult part of the proof is to show that if L has a J -trivial syntactic monoid M(L) then L is k-piecewise testable for a suitable k. By Simon’s original proof, an appropriate k could be taken as two times the maximal length of a chain of ideals in M(L) . In this paper we improve this estimate of k using the concept of biautomaton: a kind of finite automaton which arbitrarily alternates between reading the input word from the left and from the right. We prove that an appropriate k could be taken as the length of the longest simple path in the canonical biautomaton of L. We also show that this bound is better than the known bounds which use the syntactic monoid of L. (en)
Title
  • Biautomata for k-Piecewise Testable Languages
  • Biautomata for k-Piecewise Testable Languages (en)
skos:prefLabel
  • Biautomata for k-Piecewise Testable Languages
  • Biautomata for k-Piecewise Testable Languages (en)
skos:notation
  • RIV/00216224:14310/12:00057569!RIV13-GA0-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GBP202/12/G061)
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
  • 124896
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/12:00057569
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • biautomaty; po částech testovatelné jazyky (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [B1DFFA968A37]
http://linked.open...v/mistoKonaniAkce
  • Taipei, Taiwan
http://linked.open...i/riv/mistoVydani
  • Berlin Heidelberg
http://linked.open...i/riv/nazevZdroje
  • Developments in Language Theory
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
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.../riv/zahajeniAkce
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-31653-1_31
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 9783642316524
http://localhost/t...ganizacniJednotka
  • 14310
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