Subword complexities of various classes of deterministic developmental languages with interactions

  • A. Ehrenfeucht
  • K. P. Lee
  • G. Rozenberg


Lee has shown that ifL is aDOL language, then πink(L) <C · k2 for some constantC, where πink(L) denotes the number of subwords of lengthk inL. We show that the result does not hold forDIL languages. It is also shown that each everywhere growing (uniform)DIL language is the image under a coding of an everywhere growing (uniform)DOL language. A similar result holds for languages generated by systems with tables. These enable us to solve the subword complexity problems for developmental languages with interactions.

Key words

Developmental languages with interactions subwords subword complexity deterministic systems 


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Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • A. Ehrenfeucht
    • 1
  • K. P. Lee
    • 2
  • G. Rozenberg
    • 3
    • 4
  1. 1.Department of Computer ScienceUniversity of ColoradoBoulder
  2. 2.Department of Computer ScienceSUNY at BuffaloAmherst
  3. 3.Institute of MathematicsUniversity of UtrechtUtrecht-De UithofThe Netherlands
  4. 4.Department of MathematicsUniversity of Antwerp, UIABelgium

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