On continuous functions computed by finite automata

D. Derencourt; J. Karhumäki; M. Latteux; A. Terlutte

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1994)

  • Volume: 28, Issue: 3-4, page 387-403
  • ISSN: 0988-3754

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Derencourt, D., et al. "On continuous functions computed by finite automata." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 28.3-4 (1994): 387-403. <http://eudml.org/doc/92486>.

@article{Derencourt1994,
author = {Derencourt, D., Karhumäki, J., Latteux, M., Terlutte, A.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {weighted finite automata},
language = {eng},
number = {3-4},
pages = {387-403},
publisher = {EDP-Sciences},
title = {On continuous functions computed by finite automata},
url = {http://eudml.org/doc/92486},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Derencourt, D.
AU - Karhumäki, J.
AU - Latteux, M.
AU - Terlutte, A.
TI - On continuous functions computed by finite automata
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1994
PB - EDP-Sciences
VL - 28
IS - 3-4
SP - 387
EP - 403
LA - eng
KW - weighted finite automata
UR - http://eudml.org/doc/92486
ER -

References

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  1. [B] M. F. BARNSLEY, Fractals Everywhere, Academic Press, Orlando, 1988. Zbl0691.58001MR1231795
  2. [BM] J. BERSTEL and M. MORCRETTE, Compact representations of pattems by finite automata, Proc. Pixim'89, Hermes, Paris, 1989, pp. 387-402. 
  3. [BR] J. BERSTEL and Ch. REUTENAUER, Rational Series and Their Languages, Springer-Verlag, Berlin, 1988. Zbl0668.68005MR971022
  4. [CD] K. CULIK II and S. DUBE, Rational and Affine Expressions for Image Description, Discrete Applied Mathematics, 1993, 41, pp. 85-120. Zbl0784.68058MR1198549
  5. [CKarh] K. CULIK II and J. KARHUMÀKI, Finite Automata Computing Real Functions, SIAM J. Comp. (to appear). Zbl0820.68061MR1283575
  6. [CKari] K. CULK II and J. KARI, Image Compression Using Weighted Finite Automata, Computer & Graphics, 1993, 17, pp.305-313. 
  7. [DKLT] D. DERENCOURT, J. KARHUMAKI, M. LAITEUX and A. TERLUTTE, On Computational Power of Weighted Finite Automata, Proceedings of MFCS'92, LNCS 629, 1992, pp. 236-245. MR1255139
  8. [E] S. EILENBERG, Automata, Languages and Machines, Vol. A, Academic Press, New York, 1974. Zbl0317.94045MR530382
  9. [SS] A. SALOMAA and M. SOITTOLA, Automata-Theoretic Aspects of Formal Power Series, Springer-Verlag, Berlin, 1978. Zbl0377.68039MR483721

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