Abstract
A multi-marker automaton is a finite automaton which keeps marks as pebbles in the finite control, and cannot rewrite any input symbols but can make marks on its input with the restriction that only a bounded number of these marks can exist at any given time. An improvement of picture recognizability of the finite automaton is the reason why the multi-marker automaton was introduced. On the other hand, a multi-inkdot automaton is a conventional automaton capable of dropping an inkdot on a given input tape for a landmark, but unable to further pick it up. This paper deals with marker versus inkdot over threedimensional input tapes, and investigates some properties.
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Blum M, Hewitt C (1967) Automata on a two-dimensional tape. In: IEEE Symposium on Switching and Automata Theory, pp 155–160
Inoue A, Inoue K, Ito A, Wang Y, Okazaki T (2004) A note on one-pebble two-dimensional Turing machines. Information Sciences 162:295–314
Inoue A, Ito A, Hiraishi K, Inoue K (2004) Alternating inkdot is better than nondeterministic pebble over two-dimensional languages. In: The 3rd International Conference on Information, (INFO’2004)
Inoue A, Ito A, Inoue K (2004) Inkdot versus pebble over picture languages. In: 2004 Chugoku-Section Joint Connection Record of Institutes of Electrical and Information Engineerings, Japan, pp 251–252
Ito A, Inoue K, Takanami I, Wang Y (1995) The effect of inkdot for two-dimensional automata. International Journal of Pattern Recognition and Artificial Intelligence 9(5):777–796
Ranjan D, Chang R, Hartmanis J (1991) Space bounded computations: review and new separation results. Theoretical Computer Science 80:289–302
Makino T, Sakamoto M, Inoue K, Furutani H, Katayama S (2004) Some note on three-dimensional multi-inkdot automata. In: Record of 2004 Joint Conference of Electrical and Electronics Engineerings in Kyushu, Japan, No.12-1A11 (CD-ROM)
Makino T, Okabe H, Taniguchi S, Sakamoto M, Inoue K (2005) Three-dimensional multi-inkdot automata. Artifi Life Robotics 9(2):99–101
Sakamoto M, Ito A, Takanami I (1994) Simulation of threedimensional 1-marker automata by five-way Turing machines. Information Sciences 77:77–99
Sakamoto M, Inoue K, Ito A (1996) Recognizability of connected pictures by three-dimensional multi-inkdot finite automata. In: 1996 Chugoku-Section Joint Convention Record of Institutites of Electrical and Information Engineerings, Japan, p 289
Sakamoto M, Inoue K, Ito A (1997) Basic properties of threedimensional multi-inkdot automata. In: 1997 IEICE General Conference, p 5
Sakamoto M, Inoue K, Ito A (1999) Some properties of threedimensional multi-inkdot automata. In: 1999 Chugoku-Section Joint Convention Record of Institutites of Electrical and Information Engineerings, Japan, pp 219–220
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This work was presented in part at the 13th International Symposium on Artificial Life and Robotics, Oita, Japan, January 31–February 2, 2008
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Ito, T., Sakamoto, M., Okabe, H. et al. Marker versus inkdot over three-dimensional patterns. Artif Life Robotics 13, 65–68 (2008). https://doi.org/10.1007/s10015-008-0524-6
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DOI: https://doi.org/10.1007/s10015-008-0524-6