Reasoning with Actual and Potential Contradictions

1. Front Matter

   Pages i-vii

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2. Introduction to Actual and Potential Contradictions

   • Philippe Besnard, Anthony Hunter

   Pages 1-9

3. Paraconsistent Logics

   • Anthony Hunter

   Pages 11-36

4. Modal Logics for Representing Incoherent Knowledge

   • J.-J. Ch. Meyer, W. Van Der Hoek

   Pages 37-75

5. The Family of Default Logics

   • Torsten Schaub

   Pages 77-133

6. Conditional Logics for Defeasible Reasoning

   • James P. Delgrande

   Pages 135-173

7. Defeasible Logics

   • P. Geerts, E. Laenens, D. Vermeir

   Pages 175-210

8. Necessary Conditions for Negation-Operators (with Particular Applications to Paraconsistent Negation)

   • Wolfgang Lenzen

   Pages 211-239

9. A Survey of Paraconsistent Semantics for Logic Programs

   • Carlos Viegas Damásio, Luís Moniz Pereira

   Pages 241-320

10. Back Matter

    Pages 321-333

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We are happy to present the second volume of the Handbook of Defeasible Reasoning and Uncertainty Management Systems. Uncertainty pervades the real world and must therefore be addressed by every system that attempts to represent reality. The representation of un­ certainty is a major concern of philosophers, logicians, artificial intelligence researchers and computer sciencists, psychologists, statisticians, economists and engineers. The present Handbook volumes provide frontline coverage of this area. This Handbook was produced in the style of previous handbook series like the Handbook of Philosophical Logic, the Handbook of Logic in Computer Science, the Handbook of Logic in Artificial Intelligence and Logic Programming, and can be seen as a companion to them in covering the wide applications of logic and reasoning. We hope it will answer the needs for adequate representations of uncertainty. This Handbook series grew out of the ESPRIT Basic Research Project DRUMS II, where the acronym is made out of the Handbook series title. This project was financially supported by the European Union and regroups 20 major European research teams working in the general domain of uncer­ tainty. As a fringe benefit of the DRUMS project, the research community was able to create this Handbook series, relying on the DRUMS partici­ pants as the core of the authors for the Handbook together with external international experts.

• artificial intelligence
• intelligence
• knowledge
• logic
• logic programming
• modal logic
• philosophy
• programming
• semantics

• IRSIA, Rennes, France

  Philippe Besnard

• University College, London, UK

  Anthony Hunter

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