Politics & Social Sciences | Political Philosophy

Multi-Dimensional Modal Logic

by Maarten Marx

2020-07-22 17:11:22

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Modal Logic is a branch of logic with applications in many related disciplines like computer science, philosophy, linguistics or artificial intelligence. Over the last twenty years, in all of these neighboring fields, modal systems have been develope... Read more
Modal Logic is a branch of logic with applications in many related disciplines like computer science, philosophy, linguistics or artificial intelligence. Over the last twenty years, in all of these neighboring 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.). It is the aim of this book to treat 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, focussing 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. Less

Book Details

File size9.21x6.14x0.63inches
Print pages239
PublisherSpringer
Publication date November 1, 1996
ISBN9780792343455
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Maarten Marx
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