Associative closure and periodicity of ω -words

A. Mateescu; G. D. Mateescu

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1998)

  • Volume: 32, Issue: 4-6, page 153-174
  • ISSN: 0988-3754

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Mateescu, A., and Mateescu, G. D.. "Associative closure and periodicity of $\omega $-words." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 32.4-6 (1998): 153-174. <http://eudml.org/doc/92584>.

@article{Mateescu1998,
author = {Mateescu, A., Mateescu, G. D.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {shuffle on trajectories},
language = {eng},
number = {4-6},
pages = {153-174},
publisher = {EDP-Sciences},
title = {Associative closure and periodicity of $\omega $-words},
url = {http://eudml.org/doc/92584},
volume = {32},
year = {1998},
}

TY - JOUR
AU - Mateescu, A.
AU - Mateescu, G. D.
TI - Associative closure and periodicity of $\omega $-words
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1998
PB - EDP-Sciences
VL - 32
IS - 4-6
SP - 153
EP - 174
LA - eng
KW - shuffle on trajectories
UR - http://eudml.org/doc/92584
ER -

References

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  1. 1. J. BERSTELRecent Results on Sturmian Words, in Developments in Language Theory J. Dassow, G. Rozenberg and A. Salomaa, eds. World Scientific, 1996, pp. 13-24. Zbl1096.68689MR1466181
  2. 2. O. CARTON, Mots Infinis, ω-Semigroupes et Topologie, thèse, Université Paris 7, 1993. 
  3. 3. P. M. COHN, Universal Algebra, NewYork, Harper and Row, 1965. Zbl0141.01002MR175948
  4. 4. J. S. GOLAN,, The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science, Longman Scientific and Technical, Harlow, Essex, 1992. Zbl0780.16036MR1163371
  5. 5. W. KUICH and A. SALOMAA, Semirings, Automata, Languages, EATCS Monographson Theoretical Computer Science, Springer-Verlag, Berlin, 1986. Zbl0582.68002MR817983
  6. 6. M. LOTHAIRE, Combinatorics on Words, Addison Wesley, vol. 17, Enciclopedia of Mathematics and its Applications, 1983. Zbl0514.20045MR675953
  7. 7. A. de LUCA, Sturmian words: new combinatorial resultsin Semigroups, Automata and Languages, J. Almeida, G.M.S. Gomes and P.V. Silva, eds.World Scientific, 1996, pp. 67-84. Zbl0917.20042MR1477723
  8. 8. A. MATEESCU and G. D. MATEESCU, "Associative shuffle of infinite words", TUCS Technical Report, 104, 1997. Zbl0884.68071
  9. 9. A. MW, G. Rozenberg and A. SALOMAA, "Shuffle on Trajectories: Syntactic Constraints", Theoretical Computer Science, TCS, Fundamental Study, 1997, 197, (1-2), pp.1-56. Zbl0902.68096MR1615787
  10. 10. F. MIGNOSI, A. RESTIVO and S. SALEMI, "A Periodicity Theorem on Words and Applications", Proceedings of MFCS 1995, J. Wiedermannand, P. Hájek, eds. LNCS 969, Springer-Verlag, 1995, pp. 337-348. Zbl1193.68202MR1467268
  11. 11. D. PARK, "Concurrency and automata on infinitesequences", in Theoretical Computer Science, P. Deussen, eds. LNCS 104, Springer-Verlag, 1981, pp. 167-183. Zbl0457.68049
  12. 12. D. PERRIN and J. E. PIN, Mots Infinis, Report LITP 93.40, 1993. 
  13. 13. A. SALOMAA, "Formal Languages", Academic Press, 1973. Zbl0262.68025MR438755
  14. 14. L. STAIGER, " ω-Languages", in Handbook of Formal Languages, G. Rozenberg and A. Salomaa, eds. Springer, 1997, 3, pp. 339-388. MR1470023
  15. 15. W. THOMAS, " Automata on Infinite Objects", in Handbook of Theoretical Computer Science, Volume B, J. van Leeuwen, eds. Elsevier, 1990, pp. 135-191. Zbl0900.68316MR1127189

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