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Maximal state independent approximations to minimal real change

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Abstract

This paper is devoted to the problem of consistency enforcement for logical databases. The enforcement methods we propose compute the minimal real change in a given DB state, which is sufficient to accomplish the input update and preserve the integrity constraints (IC). For IC expressed in the form of a generalized logic program, this problem is proven to be hard. Meanwhile, we show that it is solvable in linear time under partial interpretations. We propose a method of computing DB state independent correct expansions of the input update and simultaneous optimization of IC with respect to this expansion. We show that under partial interpretations, optimal pairs (greatest correct update expansion/simplest equivalent IC) always exist and can be incrementally computed in square time. This partial solution being correct with respect to the total interpretations, we use it as an approximation in the total case. Moreover, for the class of IC without negation in clause bodies, we prove that this approximation constitutes the optimal pair (greatest correct update expansion/simplest equivalent IC).

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Authors and Affiliations

  1. Department of CS, Tver State University, 3 Zheljabova str., Tver, 170013, Russia

    Michael Dekhtyar

  2. Université de Nantes, IRIN, 2, rue de la Houssinière, BP 92208, F 44322, Nantes Cedex 3, France

    Alexander Dikovsky

  3. Keldysh Institute for Applied Math., 4 Miusskaya sq., Moscow, 125047, Russia

    Alexander Dikovsky

  4. Department of CS, Tver State University, 3 Zheljabova str., Tver, 170013, Russia

    Sergey Dudakov

  5. Université de Paris-Sud, LRI, U.R.A. 410 du CNRS, Bât. 490, F-91405, Orsay Cedex, France

    Nicolas Spyratos

Authors
  1. Michael Dekhtyar
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  2. Alexander Dikovsky
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  3. Sergey Dudakov
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  4. Nicolas Spyratos
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Dekhtyar, M., Dikovsky, A., Dudakov, S. et al. Maximal state independent approximations to minimal real change. Annals of Mathematics and Artificial Intelligence 33, 157–204 (2001). https://doi.org/10.1023/A:1013112907978

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