Fibring Logics

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Modern applications of logic in mathematics, computer science, and linguistics require combined systems composed of different types of logic working together. In this book the author offers a basic methodology for combining—or fibring—systems. The technique shows how to break complex systems into simple components which can be easily manipulated and recombined.

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Product Details

  • ISBN-13: 9780198503811
  • Publisher: Oxford University Press, USA
  • Publication date: 11/28/1998
  • Series: Oxford Logic Guides Series, #38
  • Pages: 496
  • Product dimensions: 6.00 (w) x 9.30 (h) x 1.10 (d)

Meet the Author

King's College, London
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Table of Contents

1 An overview of fibred semantics and the combination of logics 1
2 Logics and their semantics 18
3 Combining modal logics 39
4 Intuitionistic modal logics 76
5 Discussion and comparison with the literature 91
6 Introducing self-fibring 112
7 Self-fibring of predicate logics 124
8 Self-fibring with function symbols 148
9 Self-fibring of intuitionistic logic 158
10 Applications of self-fibring 175
11 Conditional implications and non-monotonic consequence 210
12 How to make your logic fuzzy 227
13 Combining temporal logic systems 255
14 Fibring implication logics 283
15 Grafting modalities onto substructural implication systems 307
16 Products of modal logics 327
17 Fibring intuitionistic logic programs 380
18 Fibring semantic tableaux 401
19 Fibring modal tableaux 421
20 Fibring labelled deductive systems 440
21 Conclusion and discussion 457
References 459
Index 473
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