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    These properties are inherited from many-sorted logic via... — Carmelics
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    Supports→Compactness and Löwenheim-Skolem properties hold for modal logics K and S4.

    These properties are inherited from many-sorted logic via the translation

    All sources support itProof of definition segments
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    Compactness and Löwenheim-Skolem properties hold for modal logics K and S4.First-order axioms for reflexivity and transitivity are equivalent to the many-s...

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    Metaproperties of many-sorted logic can be transferred to the logic be...88%The translation from many-sorted to one-sorted logic preserves semanti...83%Given a many-sorted structure A, every many-sorted sentence true at A ...82%When a logic is successfully translated into many-sorted logic, only a...81%

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    Given a Kripke structure \[\mathcal{A}=\langle \mathbf{W},\mathbf{R},\langle P^{\mathcal{A}}\rangle _{P\in \Atom}\rangle\] we say that \(\mathcal{AG}\) is a general structure built on \(\mathcal{A}\) if and only if \[\mathcal{AG}=\langle \mathbf{W},\mathbf{W}^{\prime },\mathbf{R},\epsilon _{1}^{\mathcal{A}},\langle P^{\mathcal{A}}\rangle _{P\in \Atom}\rangle\] where \(\Def \subseteq \mathbf{W}^{\prime }\subseteq \wp (\mathbf{W})\). [22] It can be proved that the set of worlds where a moda

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