Acta Informatica

, Volume 9, Issue 1, pp 73–86 | Cite as

A class of measures on formal languages

  • J. Paredaens
  • R. Vyncke


In this paper we introduce a class of measures on formal languages. These measures are based on the number of different ways a string of a specified finite length can be completed to obtain strings of the language. The relation with automata and grammars is established, and the polynomial measure, a special case of the general notion, is studied in detail. We give some closure properties for well-known operations on languages, and finally, we prove that the class of polynomial measurable languages is a Pre-AFL.


Information System Operating System Data Structure Communication Network Information Theory 
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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • J. Paredaens
    • 1
  • R. Vyncke
    • 2
  1. 1.Research LaboratoriesNationaal Fonds voor Wetenschappelijk Onderzoek, M.B.L.E.BrusselsBelgium
  2. 2.Programme National d'Impulsion à la Recherche en InformatiqueComputing Centre V.U.B.-U.L.B.BrusselsBelgium

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