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  • Language operations on trajectories provide a generalization of many common operations such as concatenation, quotient, shuffle and others. A trajectory is a syntactical condition determining positions where an operation is applied. Besides their elegant language-theoretical properties, the operations on trajectories have been used to solve problems in coding theory, bio-informatics and concurrency theory. We focus on algebraic properties of substitution on trajectories. Their characterization in terms of language-theoretical properties of the associated sets of trajectories is given. The transitivity property is of particular interest. Unlike, e.g., shuffle on trajectories, in the case of substitution the transitive closure of a regular set of trajectories is again regular. This result has consequences in the above-mentioned application areas.
  • Language operations on trajectories provide a generalization of many common operations such as concatenation, quotient, shuffle and others. A trajectory is a syntactical condition determining positions where an operation is applied. Besides their elegant language-theoretical properties, the operations on trajectories have been used to solve problems in coding theory, bio-informatics and concurrency theory. We focus on algebraic properties of substitution on trajectories. Their characterization in terms of language-theoretical properties of the associated sets of trajectories is given. The transitivity property is of particular interest. Unlike, e.g., shuffle on trajectories, in the case of substitution the transitive closure of a regular set of trajectories is again regular. This result has consequences in the above-mentioned application areas. (en)
  • Operace s formálními jazyky na trajektoriích jsou rámcem zobecňujícím řadu běžných jazykových operací jako zřetězení, kvocient, vsouvání a další. Zde se zaměřujeme na algebraické vlastnosti substitucí na trajektoriích. Zvláště zajímavá je tranzitivita - na rozdíl od jiných obdobných operací je uzavřená vzhledem ke třídě regulárních jazyků. (cs)
Title
  • Algebraic properties of substitution on trajectories
  • Algebraické vlastnosti substitucí na trajektoriích (cs)
  • Algebraic properties of substitution on trajectories (en)
skos:prefLabel
  • Algebraic properties of substitution on trajectories
  • Algebraické vlastnosti substitucí na trajektoriích (cs)
  • Algebraic properties of substitution on trajectories (en)
skos:notation
  • RIV/47813059:19240/06:#0001875!RIV09-MSM-19240___
http://linked.open...avai/riv/aktivita
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  • S
http://linked.open...iv/cisloPeriodika
  • 369
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 464563
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19240/06:#0001875
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http://linked.open.../riv/klicovaSlova
  • substitution on trajectories; algebra (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [FB6812421B61]
http://linked.open...i/riv/nazevZdroje
  • THEORETICAL COMPUTER SCIENCE
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 1
http://linked.open...iv/tvurceVysledku
  • Sosík, Petr
  • Domaratzki, Michael
  • Rodriguez-Paton, Alfonso
issn
  • 0304-3975
number of pages
http://localhost/t...ganizacniJednotka
  • 19240
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