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Conditions for realization of a function on a semilattice over real bases of switching elements

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Abstract

The functions are considered on finite upper semilattices that realize their switching networks. Some necessary condition is given for realization of a function on a semilattice over a base of switching elements as well as necessary and sufficient conditions for realization of a function on a semilattice of states by single-stage and many-stage circuits over bases of real switching elements (transistors and resistors).

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References

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Authors and Affiliations

  1. Tomsk State University, pr. Lenina 36, Tomsk, 634050, Russia

    I. A. Pankratova

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  1. I. A. Pankratova
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Correspondence to I. A. Pankratova.

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Original Russian Text © I.A. Pankratova, 2006, published in Diskretnyi Analiz i Issledovanie Operatsii, Ser. 1, 2006, Vol. 13, No. 3, pp. 40–61.

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Pankratova, I.A. Conditions for realization of a function on a semilattice over real bases of switching elements. J. Appl. Ind. Math. 1, 489–503 (2007). https://doi.org/10.1134/S1990478907040126

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  • DOI: https://doi.org/10.1134/S1990478907040126

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