Abstract
We show the construction of a rotation- and reflection-invariant local function for a two-dimensional asynchronous cellular automaton with only 3 states and radius 1 Moore neighborhood in which one can implement arbitrary delay-insensitive circuits.
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
Lee, J., Adachi, S., Peper, F., Mashiko, S.: Delay-insensitive computation in asynchronous cellular automata. Journal of Computer and System Sciences 70, 201–220 (2005)
Lee, J., Peper, F., Adachi, S., Morita, K.: An Asynchronous Cellular Automaton Implementing 2-State 2-Input 2-Output Reversed-Twin Reversible Elements. In: Umeo, H., Morishita, S., Nishinari, K., Komatsuzaki, T., Bandini, S. (eds.) ACRI 2008. LNCS, vol. 5191, pp. 67–76. Springer, Heidelberg (2008)
Lee, J., Peper, F.: Efficient Circuit Construction in Brownian Cellular Automata Based on a New Building-Block for Delay-Insensitive Circuits. In: Bandini, S., Manzoni, S., Umeo, H., Vizzari, G. (eds.) ACRI 2010. LNCS, vol. 6350, pp. 356–364. Springer, Heidelberg (2010)
Nakamura, K.: Asynchronous Cellular Automata and Their Computational Ability. Systems, Computer, Control 5, 58–66 (1974)
Schneider, O.: Schaltkreise in einem Zellularautomat mit 3 Zuständen. Diploma thesis, Karlsruhe Institute for Technology, Faculty for Informatics (2012)
Wernick, W.: Complete Sets of Logical Functions. Transactions of the American Mathematical Society 51, 117–132 (1942)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Schneider, O., Worsch, T. (2012). A 3-State Asynchronous CA for the Simulation of Delay-Insensitive Circuits. In: Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2012. Lecture Notes in Computer Science, vol 7495. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33350-7_58
Download citation
DOI: https://doi.org/10.1007/978-3-642-33350-7_58
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33349-1
Online ISBN: 978-3-642-33350-7
eBook Packages: Computer ScienceComputer Science (R0)