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Multi-Dimensional Modal Logic (Paperback, Softcover reprint of the original 1st ed. 1997)
Loot Price: R2,789
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Multi-Dimensional Modal Logic (Paperback, Softcover reprint of the original 1st ed. 1997)
Series: Applied Logic Series, 4
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Modal Logic is a branch of logic with applications in many related
disciplines such as computer science, philosophy, linguistics and
artificial intelligence. Over the last twenty years, in all of
these neighbouring fields, modal systems have been developed that
we call multi-dimensional. (Our definition of multi-dimensionality
in modal logic is a technical one: we call a modal formalism
multi-dimensional if, in its intended semantics, the universe of a
model consists of states that are tuples over some more basic set.)
This book treats such multi-dimensional modal logics in a uniform
way, linking their mathematical theory to the research tradition in
algebraic logic. We will define and discuss a number of systems in
detail, focusing on such aspects as expressiveness, definability,
axiomatics, decidability and interpolation. Although the book will
be mathematical in spirit, we take care to give motivations from
the disciplines mentioned earlier on.
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