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Analysis of the implementability of descriptions with functional indeterminacy based on the verification of conjunctive normal form satisfiability

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Abstract

We consider the problem of the verification of the implementability of a system of partially specified Boolean functions by a multiblock structure in which each block is also determined by a system of partially specified Boolean functions. A method for the solution of the problem by reducing it to the problem of the verification of the satisfiability of a conjunctive normal form that is the union of two the permissible conjunctive normal form of the multiblock structure with the prohibitive conjunctive normal form of the system of partially specified Boolean functions is proposed. Implicative methods for the construction of resolution conjunctive normal forms of multiblock structures with functional indeterminacy are proposed and studied.

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Authors and Affiliations

  1. United Institute of Informatics Problems, National Academy of Sciences of Belarus, ul. Surganova 6, Minsk, BY-220012, Republic of Belarus

    D. Ya. Novikov & L. D. Cheremisinova

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  1. D. Ya. Novikov
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  2. L. D. Cheremisinova
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Correspondence to D. Ya. Novikov.

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Original Russian Text © D.Ya. Novikov, L.D. Cheremisinova, 2011, published in Avtomatika i Vychislitel’naya Tekhnika, 2011, No. 4, pp. 36–48.

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Novikov, D.Y., Cheremisinova, L.D. Analysis of the implementability of descriptions with functional indeterminacy based on the verification of conjunctive normal form satisfiability. Aut. Conrol Comp. Sci. 45, 206–217 (2011). https://doi.org/10.3103/S0146411611040055

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  • DOI: https://doi.org/10.3103/S0146411611040055

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