Exploring Logical Dynamics
Seiten
1996
Centre for the Study of Language & Information (Verlag)
978-1-57586-058-9 (ISBN)
Centre for the Study of Language & Information (Verlag)
978-1-57586-058-9 (ISBN)
This book is an exploration of current trends in logical theories of information flow across various fields.
This book is an exploration of current trends in logical theories of information flow across various fields, such as belief revision in computer science or dynamic semantics in linguistics. It provides one mathematical perspective encompassing all of these. This framework generates a new agenda of questions concerning dynamic inference and dynamic operators. The result is a mathematical theory of process models, simulations between these, and modal languages over them, which is developed in quite some detail. New results include theorems on expressive completeness, representation of styles of inference, and new kinds of decidable remodeling for standard logics. This theory is also confronted with practice in computer science, linguistics and philosophy.
This book is an exploration of current trends in logical theories of information flow across various fields, such as belief revision in computer science or dynamic semantics in linguistics. It provides one mathematical perspective encompassing all of these. This framework generates a new agenda of questions concerning dynamic inference and dynamic operators. The result is a mathematical theory of process models, simulations between these, and modal languages over them, which is developed in quite some detail. New results include theorems on expressive completeness, representation of styles of inference, and new kinds of decidable remodeling for standard logics. This theory is also confronted with practice in computer science, linguistics and philosophy.
Johan van Benthem is University Professor of pure and applied logic at the University of Amsterdam, the Henry Waldgrave Stuart Professor of Philosophy at Stanford University, and the Weilun Visiting Professor of Humanities at Tsinghua University in Beijing.
Introduction; 1. Cognitive actions; 2. Dynamification; 3. Technical tools; 4. Process simulation and definability; 5. Relational algebra of process operations; 6. Two-level static-dynamic architecture; 7. Dynamic styles of inference; 8. Decidable remodelling: arrow logic; 9. Modal foundations for predicate logic; 10. Computational process theories; 11. Imperative aspects of logic programs; 12. Understanding natural language; 13. Philosophical repercussions; Bibliography.
| Erscheint lt. Verlag | 1.6.1996 |
|---|---|
| Reihe/Serie | Studies in Logic Language and Information |
| Verlagsort | Stanford |
| Sprache | englisch |
| Maße | 152 x 228 mm |
| Gewicht | 475 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre |
| ISBN-10 | 1-57586-058-9 / 1575860589 |
| ISBN-13 | 978-1-57586-058-9 / 9781575860589 |
| Zustand | Neuware |
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