Using hybrid logic for coping with functions in subset spaces

Studia Logica 94 (1):23 - 45 (2010)
We extend Moss and Parikh’s modal logic for subset spaces by adding, among other things, state-valued and set-valued functions. This is done with the aid of some basic concepts from hybrid logic. We prove the soundness and completeness of the derived logics with regard to the class of all correspondingly enriched subset spaces, and show that these logics are decidable.
Keywords Modal logic of subset spaces  functional modalities  hybrid logic
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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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