LNAI 2903 A Tableaux System for Deontic Interpreted Systems 1st Edition by Guido Governatori, Alessio Lomuscio, Marek Sergot ISBN 9783540200574 354020057X

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ISBN 10: 354020057X
ISBN 13: 9783540200574
Author: Guido Governatori, Alessio Lomuscio, Marek Sergot
We develop a labelled tableaux system for the modal logic KD45<span id="MathJax-Element-1-Frame" class="MathJax_SVG" style="box-sizing: inherit; display: inline-block; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; font-size-adjust: none; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="ni−j”>ni−j extended with epistemic notions. This logic characterises a particular type of interpreted systems used to represent and reason about states of correct and incorrect functioning behaviour of the agents in a system, and of the system as a whole. The resulting tableaux system provides a simple decision procedure for the logic. We discuss these issues and we illustrate them with the help of simple examples

LNAI 2903 A Tableaux System for Deontic Interpreted Systems 1st Edition Table of contents:

1. Foundations of Deontic Logic

   • Basic Principles of Deontic Logic: Norms, Permissions, and Obligations
   • Classical vs. Modal Logic in Deontic Reasoning
   • Semantics and Syntax of Deontic Systems
   • Examples of Deontic Logic in Legal and Ethical Reasoning

2. Interpreted Systems

   • What Are Interpreted Systems?
   • Representation of Systems and Their Rules
   • Syntax and Semantics in Interpreted Systems
   • The Role of Interpretation in Deontic Reasoning

3. Tableaux Systems in Logic

   • Introduction to Tableaux Systems
   • The Structure and Mechanics of a Tableau
   • The Tableau Method in Propositional and Modal Logics
   • Advantages of Tableaux in Proof Search and System Verification

4. A Tableaux System for Deontic Interpreted Systems

   • The Definition and Formalization of the Tableaux System for Deontic Logic
   • Detailed Explanation of the Tableau Rules for Deontic Systems
   • Syntax and Proof Procedures in the Tableaux System
   • Proof Strategies and Efficiency in Tableau-Based Deontic Systems

5. Applications of the Tableaux System

   • Application of Deontic Tableaux in Legal Reasoning
   • Normative Reasoning in Multi-Agent Systems
   • Automated Compliance Checking and Verification in Software Systems
   • Use Cases in Ethical Decision-Making and AI Systems

6. Advanced Topics in Deontic Logic and Tableaux Systems

   • Extensions of Deontic Logic for Complex Normative Systems
   • Deontic Reasoning in Non-Classical Logics
   • Temporal and Dynamic Aspects of Deontic Logic
   • Tableaux Systems for Non-Monotonic Reasoning in Deontic Contexts

7. Complexity and Computational Aspects

   • Complexity of the Tableaux System for Deontic Logic
   • Decidability and Undecidability in Deontic Reasoning
   • Computational Complexity of Interpreted Systems and Deontic Constraints
   • The Trade-offs Between Expressiveness and Computational Efficiency

8. Challenges and Future Directions

   • Limitations of the Current Tableaux System
   • Open Problems in Deontic Logic and Interpreted Systems
   • Future Research on Automated Reasoning for Normative Systems
   • Integration of Deontic Logic with Other Areas of Artificial Intelligence

9. Conclusion

• Summary of Key Insights and Contributions
• The Role of Tableaux Systems in Advancing Deontic Logic
• Closing Thoughts on the Intersection of Normative Systems and Automated Reasoning

11. Appendices

• Mathematical Foundations and Proofs
• Additional Algorithms and Examples
• Glossary of Terms

12. References

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