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Multi-Dimensional Modal Logic : Applied Logic Series - Maarten Marx

Multi-Dimensional Modal Logic

Applied Logic Series

Hardcover

Published: 30th November 1996
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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.

Preface
Multi-dimensional modal logicp. 1
Two-dimensional modal logicsp. 11
Arrow logicp. 43
Modal logics of intervalsp. 93
Modal logics of relationsp. 113
Multi-dimensional semantics for every modal languagep. 169
Open problemsp. 181
Modal Similarity Typesp. 185
A Modal Toolkitp. 199
Bibliographyp. 223
List of symbolsp. 233
Indexp. 237
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792343455
ISBN-10: 079234345X
Series: Applied Logic Series
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 239
Published: 30th November 1996
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 2.54
Weight (kg): 0.59