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A hybrid calculus for logic N *: residual finiteness and decidability

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It is proved that logic N * is residually finite and decidable. A hybrid calculus for the logic is constructed based on a tabular calculus for intuitionistic logic. It is shown that the hybrid calculus is sound and complete.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    S. A. Drobyshevich

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  1. S. A. Drobyshevich
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Correspondence to S. A. Drobyshevich.

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Supported by RFBR (project No. 09-01-00090-a).

Translated from Algebra i Logika, Vol. 50, No. 3, pp. 351-367, May-June, 2011.

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Drobyshevich, S.A. A hybrid calculus for logic N *: residual finiteness and decidability. Algebra Logic 50, 245–256 (2011). https://doi.org/10.1007/s10469-011-9138-5

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  • DOI: https://doi.org/10.1007/s10469-011-9138-5

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