Theoretical analysis shows reachability is decidable in pushdown vector addition systems, suggesting broader implications for computational systems.
Reachability in pushdown vector addition systems with states (PVASS) is among the longest standing open problems in Theoretical Computer Science. We show that the problem is decidable in full generality. Our decision procedure is similar in spirit to the KLMST algorithm for VASS reachability, but works over objects that support an elaborate form of procedure summarization as known from pushdown reachability.
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Guttenberg et al. (2025) studied this question.
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