Modal Logic is a division of logic with functions in a lot of related disciplines similar to laptop science, philosophy, linguistics and artificial intelligence. Over the past twenty years, in all of these neighbouring fields, modal methods have been developed that we identify multi-dimensional. (Our definition of multi-dimensionality in modal logic is a technical one: we identify a modal formalism multi-dimensional if, in its meant semantics, the universe of a model consists of states that are tuples over some additional main set.)
This book treats such multi-dimensional modal logics in a uniform means, linking their mathematical precept to the evaluation customized in algebraic logic. We’ll define and speak about numerous methods intimately, specializing in such parts as expressiveness, definability, axiomatics, decidability and interpolation. Although the book could be mathematical in spirit, we take care to supply motivations from the disciplines talked about earlier on.
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