Abstract Compositional Analysis of Iterated Relations

A Structural Approach to Complex State Transition Systems

Authors:

ISBN: 978-3-540-65506-0 (Print) 978-3-540-49211-5 (Online)

Table of contents (10 chapters)

  1. Prologue: Aims, Themes, and Motivations

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      Book Chapter

      Pages 1-18

      Prologue: Aims, Themes, and Motivations

  2. Mathematical Framework: Iterated Relations and Composition

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      Book Chapter

      Pages 21-52

      Dynamics of Relations

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      Book Chapter

      Pages 53-79

      Dynamics of Composed Relations

  3. Abstract Complexity: Abstraction, Invariance, Attraction

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      Book Chapter

      Pages 83-94

      Abstract Observation of Dynamics

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      Book Chapter

      Pages 95-131

      Invariance, Attraction, Complexity

  4. Abstract Compositional Analysis of Systems: Dynamics and Computations

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      Book Chapter

      Pages 135-161

      Compositional Analysis of Dynamical Properties

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      Book Chapter

      Pages 163-181

      Case Studies: Compositional Analysis of Dynamics

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      Book Chapter

      Pages 183-216

      Experimental Compositional Analysis of Cellular Automata

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      Book Chapter

      Pages 217-242

      Compositional Analysis of Computational Properties

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      Book Chapter

      Pages 243-255

      Epilogue: Conclusions and Directions for Future Work