| Issue |
RAIRO-Theor. Inf. Appl.
Volume 50, Number 4, October-December 2016
7th Non-Classical Models of Automata and Applications (NCMA-2015)
|
|
|---|---|---|
| Page(s) | 351 - 369 | |
| DOI | https://doi.org/10.1051/ita/2016025 | |
| Published online | 07 December 2016 | |
Some classes of rational functions for pictures∗,∗∗
1 Charles University, Faculty of Mathematics and Physics,
Department of Computer Science, Malostranské nám. 25, 118 00 Praha 1, Czech Republic.
frantisek.mraz@mff.cuni.cz
2 Fachbereich Elektrotechnik/Informatik, Universität Kassel,
34109 Kassel, Germany.
otto@theory.informatik.uni-kassel.de
3 Czech Technical University, Faculty of Electrical
Engineering, Karlovo nám. 13, 121 35 Prague 2, Czech Republic.
prusapa1@fel.cvut.cz
Received:
18
December
2015
Accepted:
28
October
2016
With the aid of homogeneous morphisms, we turn the deterministic two-dimensional two-way ordered restarting automaton and its extended variant into devices that compute transductions of pictures, and we study the resulting classes of transductions in detail.
Mathematics Subject Classification: 68Q45
Key words: Picture language / restarting automaton / transformation / rational function
Some of the results of this paper have been announced at NCMA 2015 in Porto, Portugal, August 2015. An extended abstract appeared in the proceedings of that conference [12].
© EDP Sciences 2016
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