Issue |
ITM Web Conf.
Volume 49, 2022
International Conference on Applied Mathematics and Numerical Methods – fourth edition (ICAMNM 2022)
|
|
---|---|---|
Article Number | 02008 | |
Number of page(s) | 26 | |
Section | Differential Equations, Dynamical Systems, Algebra, And Geometry | |
DOI | https://doi.org/10.1051/itmconf/20224902008 | |
Published online | 16 November 2022 |
Defining the speed independence of the Boolean asynchronous systems
Oradea City Hall Oradea, Romania
* e-mail: serban_e_vlad@yahoo.com
A discrete time Boolean asynchronous system consists in a function Φ : {0, 1}n → {0, 1}n which iterates its coordinates Φ1, ..., Φn independently of each other. The durations of computation of Φ1, ..., Φn are supposed to be unknown. The analysis of such systems has as main challenge characterizing their dynamics in conditions of uncertainty. For this, a very cited classical paper is [1], where the fundamental concept of speed independence is introduced. The point is, like in most of these cases, that the engineers receive from such a work intuition, combined with a certain lack of rigor. Our aim is to try a mathematical reinforcement of the Muller’s theory of the asynchronous circuits, which should be a modest homage, over time, to its authors.
A list of models used in asynchronous systems theory is given in [3]. The mathematical tools used in this analysis may be found in [2].
Key words: Boolean function / omega limit set / final set
© The Authors, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.