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.
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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)
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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
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DOI: https://doi.org/10.1007/978-3-540-79992-4_21
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