By Maarten Marx,Yde Venema

Modal good judgment is a department of common sense with functions in lots of comparable disciplines akin to desktop technology, philosophy, linguistics and synthetic intelligence. over the past two decades, in all of those neighbouring fields, modal platforms were constructed that we name multi-dimensional. (Our definition of multi-dimensionality in modal good judgment is a technical one: we name a modal formalism multi-dimensional if, in its meant semantics, the universe of a version includes states which are tuples over a few extra simple set.)
This publication treats such multi-dimensional modal logics in a uniform means, linking their mathematical conception to the study culture in algebraic common sense. we are going to outline and talk about a few platforms in aspect, targeting such elements as expressiveness, definability, axiomatics, decidability and interpolation. even supposing the ebook might be mathematical in spirit, we take care to provide motivations from the disciplines pointed out prior on.

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