Auto symmetric functions are a class of Boolean functions whose regular structure can be exploited by synthesis algorithms in order to reduce the minimization time and to derive more compact algebraic forms. In this paper we propose a generalization of this class of functions to the multiple-valued logic framework. We also study the spectral properties of auto symmetric functions and provide a complete spectral characterization for both the Boolean and the multiple-valued setting.
Autosymmetric multiple-valued functions : theory and spectral characterization / A. Bernasconi, V. Ciriani - In: 41th IEEE international symposium on multiple-valued logic : Tuusula, Finland, 23-25 may 2011 : proceedingsLos Alamitos : Institute of electrical and electronics engineers, 2011. - ISBN 9781457701122. - pp. 10-15 (( Intervento presentato al 41. convegno IEEE International Symposium on Multiple-Valued Logic (ISMVL) tenutosi a Tuusula, Finland nel 2011 [10.1109/ISMVL.2011.13].
Autosymmetric multiple-valued functions : theory and spectral characterization
V. CirianiUltimo
2011
Abstract
Auto symmetric functions are a class of Boolean functions whose regular structure can be exploited by synthesis algorithms in order to reduce the minimization time and to derive more compact algebraic forms. In this paper we propose a generalization of this class of functions to the multiple-valued logic framework. We also study the spectral properties of auto symmetric functions and provide a complete spectral characterization for both the Boolean and the multiple-valued setting.
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