LNAI 2741 Monodic Temporal Resolution 1st Edition by Anatoly Degtyarev, Michael Fisher, Boris Konev ISBN 9783540405597 354040559X

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Product details:
ISBN 10: 354040559X
ISBN 13: 9783540405597
Author: Anatoly Degtyarev, Michael Fisher, Boris Kone

First-order temporal logic is a concise and powerful notation, with many potential applications in both Computer Science and Artificial Intelligence. While the full logic is highly complex, recent work on monodic first-order temporal logics have identified important enumerable and even decidable fragments. In this paper we present the first resolution-based calculus for monodic first-order temporal logic. Although the main focus of the paper is on establishing completeness results, we also consider implementation issues and define a basic loop-search algorithm that may be used to guide the temporal resolution system.

LNAI 2741 Monodic Temporal Resolution 1st Edition Table of contents:

Chapter 1: Introduction to Temporal Logic

• What is Temporal Logic?
• Basic Concepts of Temporal Operators
• Applications of Temporal Logic in Computer Science and Artificial Intelligence
• Challenges in Reasoning with Temporal Logic

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Chapter 2: Fundamentals of Monodic Temporal Logic

• What is Monodic Temporal Logic?
• Differences Between Monodic and Non-Monodic Temporal Logic
• Syntax and Semantics of Monodic Temporal Logic
• Examples of Monodic Temporal Formulas

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Chapter 3: Temporal Resolution

• The Concept of Resolution in Logic
• Temporal Resolution: Theory and Practice
• Algorithms for Temporal Resolution
• Key Challenges in Temporal Resolution

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Chapter 4: Monodic Temporal Resolution

• Defining Monodic Temporal Resolution
• Resolution Strategies for Monodic Temporal Logic
• Case Studies in Monodic Temporal Resolution
• Efficiency and Optimization of Monodic Resolution

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Chapter 5: Applications of Monodic Temporal Resolution

• Temporal Reasoning in Artificial Intelligence
• Use of Monodic Temporal Logic in Planning and Verification
• Temporal Resolution for Model Checking
• Case Study 1: Scheduling and Planning Systems
• Case Study 2: Temporal Reasoning in Robotics and Autonomous Systems

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Chapter 6: Advanced Techniques in Temporal Resolution

• Extending Temporal Logic for Complex Systems
• Handling Infinite Time and States in Temporal Systems
• Combining Temporal Resolution with Other Logic Systems (e.g., Description Logics)
• Temporal Resolution in Distributed Systems

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Chapter 7: Complexity and Performance of Temporal Resolution

• Computational Complexity of Temporal Resolution
• Time and Space Complexity Considerations
• Improving the Performance of Temporal Resolution Algorithms
• Practical Considerations for Large-Scale Temporal Reasoning

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Chapter 8: Theoretical Foundations of Monodic Temporal Resolution

• Mathematical Foundations of Temporal Logic
• Theoretical Limits of Temporal Resolution
• Proof Techniques and Logical Consistency
• Unification and Syntactic Considerations in Monodic Resolution

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Chapter 9: Future Directions in Temporal Resolution

• Emerging Trends in Temporal Logic and Resolution
• Integrating Temporal Reasoning with Machine Learning and AI
• Future Challenges in Temporal Logic Computation
• Open Problems and Research Directions in Monodic Temporal Resolution

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