A General Framework for Reasoning On Inconsistency

1. Front Matter

   Pages i-vii

   PDF

2. Introduction and Preliminary Concepts

   • Maria Vanina Martinez, Cristian Molinaro, V. S. Subrahmanian, Leila Amgoud

   Pages 1-4

3. A General Framework for Handling Inconsistency

   • Maria Vanina Martinez, Cristian Molinaro, V. S. Subrahmanian, Leila Amgoud

   Pages 5-11

4. Algorithms

   • Maria Vanina Martinez, Cristian Molinaro, V. S. Subrahmanian, Leila Amgoud

   Pages 13-20

5. Handling Inconsistency in Monotonic Logics

   • Maria Vanina Martinez, Cristian Molinaro, V. S. Subrahmanian, Leila Amgoud

   Pages 21-33

6. Link with Existing Approaches

   • Maria Vanina Martinez, Cristian Molinaro, V. S. Subrahmanian, Leila Amgoud

   Pages 35-40

7. Conclusions

   • Maria Vanina Martinez, Cristian Molinaro, V. S. Subrahmanian, Leila Amgoud

   Pages 41-42

8. Back Matter

   Pages 43-45

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This SpringerBrief proposes a general framework for reasoning about inconsistency in a wide variety of logics, including inconsistency resolution methods that have not yet been studied.  The proposed framework allows users to specify preferences on how to resolve inconsistency when there are multiple ways to do so. This empowers users to resolve inconsistency in data leveraging both their detailed knowledge of the data as well as their application needs. The brief shows that the framework is well-suited to handle inconsistency in several logics, and provides algorithms to compute preferred options. Finally, the brief shows that the framework not only captures several existing works, but also supports reasoning about inconsistency in several logics for which no such methods exist today.

• Inconsistency Management
• Inconsistency-tolerant Reasoning
• Inconsistent Knowledge Bases
• Preference-based Reasoning
• Unified Framework for Reasoning about Inconsistency

From the reviews:

“The aim of this book, consisting of six chapters, is to develop a unified framework for reasoning on inconsistency which allows end-users to apply their domain knowledge and subsequently tailor it to their needs. In particular, the framework shall be applicable to any Tarskian logic the end-user employs.” (Jürgen Landes, zbMATH, Vol. 1276, 2014)

• , Department of Computer Science, University of Oxford, Oxford, United Kingdom

  Maria Vanina Martinez

• , Dipartimento di Elettronica, Università della Calabria, Rende, Italy

  Cristian Molinaro

• Inst. Advanced Computer Studies, Dept. Computer Science, University of Maryland, College Park, USA

  V.S. Subrahmanian

• IRIT-UPS, Toulouse, France

  Leila Amgoud

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