Information
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Information comes in various kinds. Semantic approaches to dynamic-epistemic logic emphasize semantic information as a range of live possibilities for how the real world might be. But there is also more fine-grained syntactic information as produced by proofs that elucidate and reformulate the information available to us in linguistic formulations. And other notions exist, too, such as information as correlation between situations. Dynamic-epistemic logics exist for handling various notions of information.
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Johan van Benthem. Information as correlation versus information as range. Prepublication version available.
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Johan van Benthem. The information in intuitionistic logic. Synthese, 167(2):251-270, 2009. Prepublication version available.
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Alexander Kurz, Alessandra Palmigiano. Epistemic Updates on Algebras. Logical Methods in Computer Science, 9(4):1-28, 2013.
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Minghui Ma, Alessandra Palmigiano, Mehrnoosh Sadrzadeh. Algebraic semantics and model completeness for Intuitionistic Public Announcement Logic. Annals of Pure and Applied Logic, 165(4):963-995, 2014.
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Alexandru Baltag, Johan van Benthem, Giovanni Cinà. Category theoretic Perspectives on Information Structure, Invariance, Logic, and Translation. 2016.
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Johan van Benthem. Tracking Information. In J. Michael Dunn on Information Based Logics, 363-389, Springer, 2016. Prepublication version available.
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See also the research line on Inference and Proof.
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