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

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

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

Graph Colouring Graph Colouring

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

A-mazing A-mazing Components Components

Words in Colour Words in Colour

Colour Colour Patterns Patterns

Model-Word Class Model-Word Class

Concretising Concretising Colouring-Schemas Colouring-Schemas

Classical Colouring Classical Colouring

Pnueli Pnueli & Shalev & Shalev Statecharts tatecharts

Pnueli Pnueli & Shalev & Shalev Statecharts tatecharts Backtrack

Pnueli Pnueli & Shalev & Shalev Statecharts tatecharts

Intuitionistic Intuitionistic Colouring Colouring

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.

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.

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.

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

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

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