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    A theory ΔK can be defined using a Comprehension Axiom ov... — Carmelics
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    Supports→The class 𝔊 of general structures built on modal structures can be axiomatized for minimal modal logic K.

    A theory ΔK can be defined using a Comprehension Axiom over many-sorted formulas obtained by translations of modal formulas

    Modality & PossibilityProof of definition segments
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    An Extensionality Axiom is added to ΔK to give it a second-order appearanceThe class 𝔊 of general structures built on modal structures can be axiomatized ...

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    The translation of a modal formula φ is true at a world of this genera...78%Translating basic propositional modal logic into many-sorted logic imp...77%The reverse deductive correspondence holds: translations that are theo...74%Given a many-sorted structure A, every many-sorted sentence true at A ...74%

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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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