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“Everywhere” and “here”. (English) Zbl 0993.03020
Summary: The paper studies propositional logics in a bimodal language in which the first modality is interpreted as local truth and the second as universal truth. The logic S4UC is introduced which is finitely axiomatizable, has the finite model property and is determined by every connected separable metric space.

MSC:
03B45 Modal logic (including the logic of norms)
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