Christoph Haase ; Sylvain Schmitz ; Philippe Schnoebelen - The Power of Priority Channel Systems

lmcs:1049 - Logical Methods in Computer Science, December 3, 2014, Volume 10, Issue 4 - https://doi.org/10.2168/LMCS-10(4:4)2014
The Power of Priority Channel Systems

Authors: Christoph Haase ; Sylvain Schmitz ; Philippe Schnoebelen

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.


Volume: Volume 10, Issue 4
Published on: December 3, 2014
Accepted on: June 25, 2015
Submitted on: March 29, 2014
Keywords: Computer Science - Logic in Computer Science


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