A hybrid logic for reasoning about knowledge and topology

Abstract
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.
Keywords Topological reasoning  The logic of knowledge  Hybrid logic  Nominalstructure for subset spaces  Algebras of sets
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