Series parallel decomposition of a~system of incompletely specified Boolean functions
Prikladnaâ diskretnaâ matematika, no. 4 (2010), pp. 55-63.

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The decomposition problem for a system of incompletely specified Boolean functions is considered. The concept of function dependence on some arguments is introduced for appreciating the complexity of decomposition components. A method for series parallel decomposition of a system of incompletely specified Boolean functions is suggested. The peculiarity of the method is that the arguments of components are not given and are found in the process of decomposition.
Keywords: system of incompletely specified Boolean functions
Mots-clés : decomposition.
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Yu. V. Pottosin; E. A. Shestakov. Series parallel decomposition of a~system of incompletely specified Boolean functions. Prikladnaâ diskretnaâ matematika, no. 4 (2010), pp. 55-63. http://geodesic.mathdoc.fr/item/PDM_2010_4_a5/

[1] Perkowski M. A., Grygiel S., A Survey of Literature on Functional Decomposition, Version IV (Technical Report), Portland State University, Department of Electrical Engineering, Portland, USA, 1995, 188 pp.

[2] Pottosin Yu. V., Shestakov E. A., Tablichnye metody dekompozitsii sistem polnostyu opredelennykh bulevykh funktsii, Belorus. nauka, Minsk, 2006, 327 pp.

[3] Zakrevskii A. D., Pottosin Yu. V., Cheremisinova L. D., Logicheskie osnovy proektirovaniya diskretnykh ustroistv, Fizmatlit, M., 2007, 592 pp.

[4] Zakrevskii A. D., Logicheskii sintez kaskadnykh skhem, Nauka, M., 1981, 414 pp. | MR