This paper investigates a general framework of a pushdown system with well-quasi-ordered states and stack alphabet to show decidability of reachability, which is an extension of our earlier work (Well-structured Pushdown Systems, CONCUR 2013). As an instance, an alternative proof of the decidability of the reachability for dense-timed pushdown system (in P.A. Abdulla, M.F. Atig, F. Stenman, Dense-Timed Pushdown Automata, IEEE LICS 2012) is presented. Our proof would be more robust for extensions, e.g., regular valuations with time.
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