Abstract
This paper targets characterization of the non-reachable states of 1-dimensional irreversible cellular automata (CA). A theoretical framework has been developed to design algorithms for computing the number of non-reachable states as well as the number of single cycle attractors of such a CA.
This research work is supported by the Sponsored CA Research Projects, Bengal Engineering and Science University, Shibpur, West Bengal, India-711103.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Pal Chaudhuri, P., Roy Chowdhury, D., Nandi, S., Chatterjee, S.: Additive Cellular Automata - Theory and Applications, vol. 1. IEEE Computer Society Press, California (1997)
Das, S., Sikdar, B.K.: Classification of CA Rules Targeting Synthesis of Reversible Cellular Automata. In: Proceedings of International Conference on Cellular Automata for Research and Industry, ACRI, France, pp. 68–77 (September 2006)
Das, S., Sikdar, B.K., Chaudhuri, P.P.: Characterization of Reachable/Nonreachable Cellular Automata States. In: Proceedings of Sixth International Conference on Cellular Automata for Research and Industry, ACRI, The Netherlands, pp. 813–822 (October 2004)
Moore, E.F.: Machine models of self reproduction. In: Burks, A.W. (ed.) Essays on Cellular Automata, University of Illinois Press, Urbana (1970)
Myhill, J.: The converse of moore’s garden of eden theorem. In: Proceedings of American Mathematical Society, vol. 14, pp. 685–686 (1963)
von Neumann, J.: The theory of self-reproducing Automata. In: Burks, A.W. (ed.), Univ. of Illinois Press, Urbana (1966)
Wolfram, S.: Cellular Automata and Complexity - Collected Papers. Addison-Wesley, Reading (1994)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Das, S., Sikdar, B.K. (2008). Characterization of Non-reachable States in Irreversible CA State Space. In: Umeo, H., Morishita, S., Nishinari, K., Komatsuzaki, T., Bandini, S. (eds) Cellular Automata. ACRI 2008. Lecture Notes in Computer Science, vol 5191. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79992-4_21
Download citation
DOI: https://doi.org/10.1007/978-3-540-79992-4_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-79991-7
Online ISBN: 978-3-540-79992-4
eBook Packages: Computer ScienceComputer Science (R0)