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first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.

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Existence of certain formulas in modal logic K

Does there exist a modal formula $φ$ with the following properties? for every finite Kripke frame $F$ there is some ground substitution $\sigma$ such that for every point $w \in F$ we have $F, w \Vda …
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