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The ``Synchronous The ``Synchronous Painter Painter Joaqun Joaqun - PowerPoint PPT Presentation

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The ``Synchronous The ``Synchronous Painter Painter Joaqun Joaqun Aguado guado University of Bamberg 3-Dec-2008 SYNCHRON08 . Idea Idea Rephrase causality analysis as a Graph Colouring Problem. Explain the step responses of

  1. The ``Synchronous´´ The ``Synchronous´´ Painter Painter Joaquín Joaquín Aguado guado University of Bamberg 3-Dec-2008 SYNCHRON‘08 .

  2. Idea Idea Rephrase causality analysis as a Graph Colouring Problem. Explain the step responses of Statecharts in terms of colourings.

  3. Graph Colouring Graph Colouring

  4. Graph Colouring Graph Colouring

  5. Graph Colouring Graph Colouring

  6. A-mazing A-mazing Components Components • flat conjunction of transitions • obtained from visual syntax, structurally and incrementally • negations code non- determinism, priorities and hierarchy

  7. A-mazing A-mazing Components Components

  8. Words in Colour Words in Colour

  9. Colour Colour Patterns Patterns

  10. Model-Word Class Model-Word Class

  11. Concretising Concretising Colouring-Schemas Colouring-Schemas

  12. Classical Colouring Classical Colouring

  13. Classical Colouring Classical Colouring

  14. Pnueli Pnueli & Shalev & Shalev Statecharts tatecharts

  15. Pnueli Pnueli & Shalev & Shalev Statecharts tatecharts

  16. Pnueli Pnueli & Shalev & Shalev Statecharts tatecharts

  17. Pnueli Pnueli & Shalev & Shalev Statecharts tatecharts

  18. Pnueli Pnueli & Shalev & Shalev Statecharts tatecharts Backtrack

  19. Pnueli Pnueli & Shalev & Shalev Statecharts tatecharts

  20. Pnueli Pnueli & Shalev & Shalev Statecharts tatecharts

  21. Pnueli Pnueli & Shalev & Shalev Statecharts tatecharts

  22. Intuitionistic Intuitionistic Colouring Colouring

  23. Intuitionistic Intuitionistic Colouring Colouring

  24. Intuitionistic Intuitionistic Colouring Colouring

  25. Intuitionistic Intuitionistic Colouring Colouring

  26. Intuitionistic Intuitionistic Colouring Colouring

  27. Intuitionistic Intuitionistic Colouring Colouring

  28. Intuitionistic Intuitionistic Colouring Colouring

  29. Intuitionistic Intuitionistic Colouring Colouring

  30. Intuitionistic Intuitionistic Colouring Colouring

  31. Intuitionistic Intuitionistic Colouring Colouring

  32. Intuitionistic Intuitionistic Colouring Colouring

  33. Intuitionistic Intuitionistic Colouring Colouring

  34. Summary Summary This Colouring semantics corresponds to the macro-step semantics of Pnueli & Shalev. Graph colouring has concentrated on the optimisation (in the sense of minimality) under the proper colouring condition (i.e., there are no neighbours with the same colour) that despite all the efforts remains a very difficult combinatorial problem.

  35. Summary Summary What our semantics is an immediate domain of application for graph colouring algorithms with weaker colouring conditions. Practical application will include, for example, semantic-based program transformations.

  36. Summary Summary On the other hand, every algorithm implementing the synchronous semantics discussed here is automatically one colouring algorithm complying specific constraints. Also, not having considered other synchronous language we must leave open questions regarding the possibility of extend our framework in particular to ESTEREL.

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