Automata for Branching and Layered Temporal Structures Lecture Notes in Computer Science 5955 Lecture Notes in Artificial Intelligence 1st edition by Gabriele Puppis ISBN 3642118801 978-3642118807

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ISBN 10: 3642118801
ISBN 13: 978-3642118807
Author: Gabriele Puppis 

Since 2002, FoLLI awards an annual prize for an outstanding dissertation in the fields of Logic, Language, and Information. This book is based on the Ph.D. thesis of Gabriele Puppis, who was the winner of the E.W. Beth dissertation award for 2007. Puppis’ thesis focuses on Logic and Computation and, more specifically, on automata-based decidability techniques for time granularity and on a new method for deciding Monadic Second Order theories of trees. The results presented represent a significant step towards a better understanding of the changes in granularity levels that humans make so easily in cognition of time, space, and other phenomena, whereas their logical and computational structure poses difficult conceptual and computational challenges.

Automata for Branching and Layered Temporal Structures (Lecture Notes in Computer Science 5955 Lecture Notes in Artificial Intelligence) 1st Table of contents:

Preface

• Introduction to Temporal Logic and Automata
• Motivation for Branching and Layered Temporal Structures
• Overview of the Structure of the Book

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Part I: Foundations of Temporal and Branching Structures

1. Introduction to Temporal Logic and Automata

   • Temporal Logic: A Brief Overview
   • Temporal Properties and Formal Verification
   • Automata Theory and Its Role in Temporal Reasoning

2. Branching Time and Temporal Models

   • Branching Time Models: An Intuitive Approach
   • Trees, Graphs, and State Spaces in Temporal Models
   • Temporal Operators and Their Use in Modeling Branching

3. Layered Temporal Structures

   • Hierarchical Models of Time
   • Temporal Layers: Understanding Multiple Time Scales
   • Decomposing Complex Temporal Behaviors into Layers

4. Automata for Temporal Systems

   • Finite State Automata in Temporal Contexts
   • Extensions of Classical Automata for Temporal Properties
   • Automata on Infinite Structures: Challenges and Opportunities

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Part II: Automata for Branching Temporal Structures

5. Branching Temporal Automata

   • Defining Branching Temporal Automata
   • The Theory of Branching Time: Syntax and Semantics
   • Computation and Acceptance Conditions in Branching Automata

6. Model Checking and Verification of Branching Temporal Systems

   • Formal Verification of Temporal Properties
   • Model Checking Algorithms for Branching Temporal Automata
   • Applications in Hardware and Software Verification

7. Branching Temporal Logic and Automata

   • Expressiveness of Branching Temporal Logics
   • From Logics to Automata: Translation and Decision Procedures
   • Automata-Based Model Checking for Branching Temporal Logics

8. Decidability and Complexity of Branching Temporal Automata

   • Decidability Issues in Branching Temporal Models
   • Complexity Classes and Time Bounds in Branching Automata
   • Algorithms for Efficient Computation of Temporal Properties

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Part III: Layered Temporal Structures and Automata

9. Layered Automata for Temporal Hierarchies

   • Layered Models of Temporal Behavior
   • Automata for Multilevel Temporal Systems
   • Temporal Hierarchies and Their Formal Representation

10. Automata for Layered Systems with Nested Temporal Constructs

    • Nested Temporal Layers and Their Automata Representation
    • Analysis and Computation of Nested Temporal Structures
    • Hierarchical Model Checking for Layered Temporal Systems

11. Concurrency and Parallelism in Layered Temporal Automata

    • Concurrency in Layered Temporal Systems
    • Parallel Computation Models for Layered Automata
    • Synchronization and Communication in Layered Temporal Models

12. Applications of Layered Temporal Automata

    • Real-Time Systems and Layered Temporal Automata
    • Modeling Distributed Systems with Layered Temporal Automata
    • Case Studies: Autonomous Systems, Robotics, and Networks

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Part IV: Advanced Topics and Research Directions

13. Decidability and Expressiveness of Layered Temporal Automata

    • Decidability Results for Layered Temporal Models
    • Expressiveness of Hierarchical Temporal Logics
    • Trade-offs Between Expressiveness and Computation Complexity

14. Automata for Infinite Temporal Structures

    • Automata for Infinite-Time Temporal Models
    • Büchi and Muller Automata for Temporal Verification
    • Infinite-State Systems and Temporal Logic Verification

15. Compositional Methods for Temporal Automata

    • Compositional Verification and Synthesis of Temporal Automata
    • Decomposition of Temporal Systems into Subsystems
    • Parallel and Modular Approaches to Temporal Automata

16. Future Directions in Automata Theory and Temporal Structures

    • Challenges in Modeling Complex Temporal Behaviors
    • Beyond Traditional Automata: Quantum, Stochastic, and Hybrid Models
    • Future Applications of Temporal Automata in AI and Systems Theory

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Conclusion

• Summary of Key Insights
• Open Problems and Research Frontiers
• Final Thoughts on Automata Theory and Temporal Structures

References

• Key Publications and Further Reading

Index

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