Modern applications of logic, in mathematics, theoretical computer science, and linguistics, require combined systems involving many different logics working together. In this book the author offers a basic methodology for combining-or fibring-systems. This means that many existing complex systems can be broken down into simpler components, hence making them much easier to manipulate. Using this methodology the book discusses ways of obtaining a wide variety of multimodal, modal intuitionistic, modal substructural and fuzzy systems in a uniform way. It also covers self-fibred languages which allow formulae to apply to themselves. The book also studies sufficient conditions for transferring properties of the component logics into properties of the combined system.
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Produkt-Hinweis
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Gewebe-Einband
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Höhe: 229 mm
Breite: 152 mm
Dicke: 32 mm
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ISBN-13
978-0-19-850381-1 (9780198503811)
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Schweitzer Klassifikation
Autor*in
Professor of Computer ScienceProfessor of Computer Science, King's College, London
1. An overview ; 2. Logics and their semantics ; 3. Combining modal logics ; 4. Intuitionistic modal logics ; 5. Comparison with literature ; 6. Introducing self-fibring ; 7. Self-fibring of predicate logics ; 8. Self-fibring with function systems ; 9. Self-fibring of intuitionistic logic ; 10. Applications of self-fibring ; 11. Conditional implication ; 12. How to make your logic fuzzy ; 13. Combing temporal logic systems ; 14. Grafting modalities ; 15. Fibred tableaux