an:06386943
Zbl 1448.68341
Haase, Christoph; Schmitz, Sylvain; Schnoebelen, Philippe
The power of priority channel systems
EN
Log. Methods Comput. Sci. 10, No. 4, Paper No. 4, 39 p. (2014).
00338431
2014
j
68Q85
well-quasi-order; well-structured transition systems; fast-growing complexity
Summary: 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 \textit{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.