Context-free languages with rational index in Θ ( n γ ) for algebraic numbers γ

Laurent Pierre; Jean-Marc Farinone

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1990)

  • Volume: 24, Issue: 3, page 275-322
  • ISSN: 0988-3754

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Pierre, Laurent, and Farinone, Jean-Marc. "Context-free languages with rational index in $\Theta (n^\gamma )$ for algebraic numbers $\gamma $." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 24.3 (1990): 275-322. <http://eudml.org/doc/92360>.

@article{Pierre1990,
author = {Pierre, Laurent, Farinone, Jean-Marc},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {complexity of languages},
language = {eng},
number = {3},
pages = {275-322},
publisher = {EDP-Sciences},
title = {Context-free languages with rational index in $\Theta (n^\gamma )$ for algebraic numbers $\gamma $},
url = {http://eudml.org/doc/92360},
volume = {24},
year = {1990},
}

TY - JOUR
AU - Pierre, Laurent
AU - Farinone, Jean-Marc
TI - Context-free languages with rational index in $\Theta (n^\gamma )$ for algebraic numbers $\gamma $
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1990
PB - EDP-Sciences
VL - 24
IS - 3
SP - 275
EP - 322
LA - eng
KW - complexity of languages
UR - http://eudml.org/doc/92360
ER -

References

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  1. 1. J. BERSTEL, Transductions and Context-free languages, Teubner Verlag, 1979. Zbl0424.68040MR549481
  2. 2. L. BOASSON, Non-générateurs algébriques et substitution, RAIRO Informatique Théorique, Vol. 19, No. 2, 1985, pp. 125-136. Zbl0569.68060MR803994
  3. 3. L. BOASSON and M. NIVAT, Ordres et types de language, I, II, III, C. R. Acad. Sci. Paris, série A, Tome 284, 1977, pp. 559-562, 625-628, 703-705. Zbl0359.68096
  4. 4. L. BOASSON, B. COURCELLE and M. NIVAT, The Rational Index, Complexity measure for Languages, S.I.A.M. J. Comput, Vol. 10, (2), 1981, pp. 284-296. Zbl0469.68083MR615219
  5. 5. J. M. FARINONE, Langages algébriques d'index rationnel singulier, Thèse de 3e cycle, Rapport L.I.T.P, No. 86-64, Univ. de Paris-VII, 1986. 
  6. 6. J. GABARRO, Index rationnel, centre et langages algébriques, Thèse de 3e cycle, Rapport L.I.T.P., No. 81-54, Univ. de Paris-VI, 1981. Zbl0505.68033
  7. 7. D. E. KNUTH, Big Omicron and Big Omega and Big Theta, Sigact News, April-June 1976, pp. 18-24. 
  8. 8. J. LELONG-FERRAND and J. M. ARNAUDIÈS, Cours de mathématiques, Tome 2, Analyse, Dunod, Paris. Zbl0259.26001MR476226
  9. 9. M. NIVAT, Transductions des langages de Chomsky, Ann. de l'Inst. Fourier, Vol. 18, 1968, pp. 339-456. Zbl0313.68065MR238633
  10. 10. L. PIERRE and J. M. FARINONE, Rational Index of Context-free Languages in exp Θ (p√n) and nΘ (p√ln n), TCS, Vol. 57, 1988, pp. 185-204. Zbl0646.68091MR960103

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