Abstract Compositional Analysis of Iterated Relations

Prologue: Aims, Themes, and Motivations.- Prologue: Aims, Themes, and Motivations.- Mathematical Framework: Iterated Relations and Composition.- Dynamics of Relations.- Dynamics of Composed Relations.- Abstract Complexity: Abstraction, Invariance, Attraction.- Abstract Observation of Dynamics.- Invariance, Attraction, Complexity.- Abstract Compositional Analysis of Systems: Dynamics and Computations.- Compositional Analysis of Dynamical Properties.- Case Studies: Compositional Analysis of Dynamics.- Experimental Compositional Analysis of Cellular Automata.- Compositional Analysis of Computational Properties.- Epilogue: Conclusions and Directions for Future Work.