A bound for the ω-equivalence problem of polynomial D0L systems
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 37 (2003) no. 2, pp. 149-157.

We give a bound for the ω-equivalence problem of polynomially bounded D0L systems which depends only on the size of the underlying alphabet.

DOI : 10.1051/ita:2003015
Classification : 68Q45
Mots-clés : infinite words, D0L systems 
@article{ITA_2003__37_2_149_0,
     author = {Honkala, Juha},
     title = {A bound for the $\sf \omega $-equivalence problem of polynomial {D0L} systems},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {149--157},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {2},
     year = {2003},
     doi = {10.1051/ita:2003015},
     mrnumber = {2015689},
     zbl = {1112.68394},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ita:2003015/}
}
TY  - JOUR
AU  - Honkala, Juha
TI  - A bound for the $\sf \omega $-equivalence problem of polynomial D0L systems
JO  - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY  - 2003
SP  - 149
EP  - 157
VL  - 37
IS  - 2
PB  - EDP-Sciences
UR  - http://www.numdam.org/articles/10.1051/ita:2003015/
DO  - 10.1051/ita:2003015
LA  - en
ID  - ITA_2003__37_2_149_0
ER  - 
%0 Journal Article
%A Honkala, Juha
%T A bound for the $\sf \omega $-equivalence problem of polynomial D0L systems
%J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
%D 2003
%P 149-157
%V 37
%N 2
%I EDP-Sciences
%U http://www.numdam.org/articles/10.1051/ita:2003015/
%R 10.1051/ita:2003015
%G en
%F ITA_2003__37_2_149_0
Honkala, Juha. A bound for the $\sf \omega $-equivalence problem of polynomial D0L systems. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 37 (2003) no. 2, pp. 149-157. doi : 10.1051/ita:2003015. http://www.numdam.org/articles/10.1051/ita:2003015/

[1] K. Culik Ii and T. Harju, The ω-sequence equivalence problem for D0L systems is decidable. J. ACM 31 (1984) 282-298. | MR | Zbl

[2] K. Culik Ii and A. Salomaa, On infinite words obtained by iterating morphisms. Theoret. Comput. Sci. 19 (1982) 29-38. | MR | Zbl

[3] A. Ehrenfeucht and G. Rozenberg, Elementary homomorphisms and a solution of the D0L sequence equivalence problem. Theoret. Comput. Sci. 7 (1978) 169-183. | MR | Zbl

[4] J. Honkala, On infinite words generated by polynomial D0L systems. Discrete Appl. Math. 116 (2002) 297-305. | MR | Zbl

[5] J. Honkala, Remarks concerning the D0L ω-equivalence problem. Intern. J. Found. Comput. Sci. 13 (2002) 769-777. | MR | Zbl

[6] J. Honkala, The equivalence problem of polynomially bounded D0L systems - a bound depending only on the size of the alphabet. Theory Comput. Systems 36 (2003) 89-103. | Zbl

[7] G. Rozenberg and A. Salomaa, The Mathematical Theory of L Systems. Academic Press, New York (1980). | MR | Zbl

[8] G. Rozenberg and A. Salomaa (Eds.), Handbook of Formal Languages, Vols. 1-3. Springer, Berlin (1997). | MR | Zbl

[9] A. Salomaa, On exponential growth in Lindenmayer systems. Indag. Math. 35 (1973) 23-30. | MR | Zbl

Cité par Sources :