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Qualitative Spatial and Temporal Reasoning

Qualitative Spatial and Temporal Reasoning by Gérard Ligozat
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Introduction. Qualitative Reasoning xvii

Chapter 1. Allen’s Calculus 1

Chapter 2. Polynomial Subclasses of Allen’s Algebra 29

Chapter 3. Generalized Intervals 63

Chapter 4. Binary Qualitative Formalisms 87

Chapter 5. Qualitative Formalisms of Arity Greater than 2 145

Chapter 6. Quantitative Formalisms, Hybrids, and Granularity 159

Chapter 7. Fuzzy Reasoning 187

Chapter 8. The Geometrical Approach and Conceptual Spaces 223

Chapter 9. Weak Representations 259

Chapter 10. Models of RCC−8 305

Chapter 11. A Categorical Approach of Qualitative Reasoning 343

Chapter 12. Complexity of Constraint Languages 363

Chapter 13. Spatial Reasoning and Modal Logic 391

Chapter 14. Applications and Software Tools 413

Chapter 15. Conclusion and Prospects 423

Appendix A. Elements of Topology 435

Appendix B. Elements of Universal Algebra 451

Appendix C. Disjunctive Linear Relations 463

Bibliography 471

Index 501

Wiley; February 2013
ISBN 9781118601563
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Title: Qualitative Spatial and Temporal Reasoning
Author: Gérard Ligozat
 
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ISBNs
1118601378
9781118601372
9781118601419
9781118601563
9781848212527