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An Institution-Independent Proof of the Robinson Consistency Theorem

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Abstract

We prove an institutional version of A. Robinson’s Consistency Theorem. This result is then appliedto the institution of many-sorted first-order predicate logic and to two of its variations, infinitary and partial, obtaining very general syntactic criteria sufficient for a signature square in order to satisfy the Robinson consistency and Craig interpolation properties.

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Authors and Affiliations

  1. Şcoala Normalâ Superioarâ, Bucharest, Romania

    Daniel Gâinâ & Andrei Popescu

  2. Dept. of Fundamentals of Computer Science Faculty of Mathematics and Informatics, University of Bucharest, Bucharest, Romania

    Daniel Gâinâ & Andrei Popescu

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  1. Daniel Gâinâ
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  2. Andrei Popescu
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Correspondence to Daniel Gâinâ.

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Gâinâ, D., Popescu, A. An Institution-Independent Proof of the Robinson Consistency Theorem. Stud Logica 85, 41–73 (2007). https://doi.org/10.1007/s11225-007-9022-4

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