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- About this book
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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.
- Table of contents (6 chapters)
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Multi-Dimensional Modal Logic
Pages 1-9
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Two-Dimensional Modal Logics
Pages 11-41
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Arrow Logic
Pages 43-91
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Modal Logics of Intervals
Pages 93-111
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Modal Logics of Relations
Pages 113-167
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Multi-Dimensional Modal Logic
- Authors
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- Maarten Marx
- Yde Venema
- Series Title
- Applied Logic Series
- Series Volume
- 4
- Copyright
- 1997
- Publisher
- Springer Netherlands
- Copyright Holder
- Springer Science+Business Media Dordrecht
- eBook ISBN
- 978-94-011-5694-3
- DOI
- 10.1007/978-94-011-5694-3
- Hardcover ISBN
- 978-0-7923-4345-5
- Softcover ISBN
- 978-94-010-6401-9
- Series ISSN
- 1386-2790
- Edition Number
- 1
- Number of Pages
- XIII, 239
- Topics
