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Decidability of the weak interpolation property over the minimal logic

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We give a description of extensions for Johansson’s minimal logic J with the weak interpolation property. This property is proved to be decidable over J.

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Correspondence to L. L. Maksimova.

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Supported by RFBR (project No. 09-01-00090a), by the Grants Council (under RF President) for State Aid of Leading Scientific Schools (grant NSh-3606.2010.1), and by the Russian Ministry of Education through the Analytical Departmental Target Program (ADTP) “Development of Scientific Potential of the Higher School of Learning” (project No. 2.1.1.10726).

Translated from Algebra i Logika, Vol. 50, No. 2, pp. 152–188, March-April, 2011.

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Maksimova, L.L. Decidability of the weak interpolation property over the minimal logic. Algebra Logic 50, 106–132 (2011). https://doi.org/10.1007/s10469-011-9127-8

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