Invariant logics (Q2776808)

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scientific article; zbMATH DE number 1716765
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Invariant logics
scientific article; zbMATH DE number 1716765

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    24 July 2002
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    invariant logic
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    Kripke-frame
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    tabular logic
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    automorphism group
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    lattices of modal logics
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    prime logics
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    normal modal logics
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    Invariant logics (English)
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    In a previous paper, the author analyzed the groups of automorphisms of various lattices of modal logics. In this paper he goes on with the study of the structure of the group of automorphisms of the lattice NExtK (the distributive lattice of normal logics). In this way, he studies logics which are invariant under all automorphisms in the group. With this objective, he analyzes the set of prime logics in the lattice NExtK. The set of prime logics is identified with a set of Kripke-frames and very interestig techniques to delay with frames are developed.
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