Neighborhood models and topology

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Source textbooks Basic papers Historical source texts Further directions

Dynamic-epistemic logics have largely followed the paradigm of standard modal logics, i.e., relational structures such a s directed graphs with various accessibility relations. One currently emerging generalization changes this to the use of neighborhood models, with topological models as an important special case.

 

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Source textbooks

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• Eric Pacuit. Neighborhood Semantics for Modal Logic. Springer, 2017. Prepublication version available.

 

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Basic papers

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• Alexandru Baltag, Nick Bezhanishvili, Aybüke Özgün, Sonja Smets. Justified Belief and the Topology of Evidence. In Logic, Language, Information, and Computation (WOLLIC 2016), 83-103, 2016. Preliminary version available.

 

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Historical source texts

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• Alexandru Baltag, Nick Bezhanishvili, Aybüke Özgün, Sonja Smets. The Topology of Belief, Belief Revision and Defeasible Knowledge. In Logic, Rationality, and Interaction (LORI 2013), 27-40, Springer, 2013. Prepublication version available.
• Alexandru Baltag, Nick Bezhanishvili, Aybüke Özgün, Sonja Smets. The Topology of Full and Weak Belief. In Proceedings of ELISIEM Workshop, 2014. Prepublication version available.

 

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Further directions

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• Hans van Ditmarsch, Sophia Knight, Aybüke Özgün. Announcement as effort on topological spaces. In Proceedings Fifteenth Conference on Theoretical Aspects of Rationality and Knowledge TARK 2015, 95-102, 2015. Prepublication version available.