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Konstantinos Georgatos (1997). Knowledge on Treelike Spaces.

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  1.  1
    Announcement as Effort on Topological Spaces.Hans van Ditmarsch, Sophia Knight & Aybüke Özgün - forthcoming - Synthese:1-43.
    We propose a multi-agent logic of knowledge, public announcements and arbitrary announcements, interpreted on topological spaces in the style of subset space semantics. The arbitrary announcement modality functions similarly to the effort modality in subset space logics, however, it comes with intuitive and semantic differences. We provide axiomatizations for three logics based on this setting, with S5 knowledge modality, and demonstrate their completeness. We moreover consider the weaker axiomatizations of three logics with S4 type of knowledge and prove soundness and (...)
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    A Quick Guided Tour to the Modal Logic S4.2.Aggeliki Chalki, Costas D. Koutras & Yorgos Zikos - 2018 - Logic Journal of the IGPL 26 (4):429-451.
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    A Hybrid Logic for Reasoning About Knowledge and Topology.Bernhard Heinemann - 2008 - Journal of Logic, Language and Information 17 (1):19-41.
    We extend Moss and Parikh’s bi-modal system for knowledge and effort by means of hybrid logic. In this way, some additional concepts from topology related to knowledge can be captured. We prove the soundness and completeness as well as the decidability of the extended system. Special emphasis will be placed on algebras.
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