Completeness of certain bimodal logics for subset spaces

Studia Logica 71 (1):1 - 30 (2002)
Subset Spaces were introduced by L. Moss and R. Parikh in [8]. These spaces model the reasoning about knowledge of changing states.In [2] a kind of subset space called intersection space was considered and the question about the existence of a set of axioms that is complete for the logic of intersection spaces was addressed. In [9] the first author introduced the class of directed spaces and proved that any set of axioms for directed frames also characterizes intersection spaces.
Keywords Philosophy   Logic   Mathematical Logic and Foundations   Computational Linguistics
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Bernhard Heinemann (2008). A Hybrid Logic for Reasoning About Knowledge and Topology. Journal of Logic, Language and Information 17 (1):19-41.

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