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Algebra over estimation algorithms: Normalization and division

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Abstract

An algebra over recognition algorithms supplemented with a normalization operation (under various definitions) and the division operation is investigated. Correctness criteria for various algebraic closures are obtained.

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Original Russian Text © A.G. D’yakonov, 2007, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2007, Vol. 47, No. 6, pp. 1099–1109.

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D’yakonov, A.G. Algebra over estimation algorithms: Normalization and division. Comput. Math. and Math. Phys. 47, 1050–1060 (2007). https://doi.org/10.1134/S0965542507060140

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