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arXiv · 1301.5500

The Power of Priority Channel Systems

Christoph Haase·Sylvain Schmitz·Philippe Schnoebelen
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Abstract

We introduce Priority Channel Systems, a new class of channel systems where messages carry a numeric priority and where higher-priority messages can supersede lower-priority messages preceding them in the fifo communication buffers. The decidability of safety and inevitability properties is shown via the introduction of a priority embedding, a well-quasi-ordering that has not previously been used in well-structured systems. We then show how Priority Channel Systems can compute Fast-Growing functions and prove that the aforementioned verification problems are $\mathbf{F}_{\varepsilon_{0}}$-complete.

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Christoph Haase, Sylvain Schmitz, Philippe Schnoebelen. 2013-01-23. The Power of Priority Channel Systems. https://doi.org/10.2168/lmcs-10(4:4)2014

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