Computer Science > Logic in Computer Science
[Submitted on 29 Nov 2022 (v1), last revised 11 Jun 2024 (this version, v4)]
Title:Branch-Well-Structured Transition Systems and Extensions
View PDFAbstract:We propose a relaxation to the definition of well-structured transition systems (\WSTS) while retaining the decidability of boundedness and non-termination. In this class, the well-quasi-ordered (wqo) condition is relaxed such that it is applicable only between states that are reachable one from another. Furthermore, the monotony condition is relaxed in the same way. While this retains the decidability of non-termination and boundedness, it appears that the coverability problem is undecidable. To this end, we define a new notion of monotony, called cover-monotony, which is strictly more general than the usual monotony and still allows us to decide a restricted form of the coverability problem.
Submission history
From: Amrita Suresh [view email] [via LMCS proxy][v1] Tue, 29 Nov 2022 04:05:45 UTC (64 KB)
[v2] Mon, 24 Jul 2023 09:23:34 UTC (120 KB)
[v3] Mon, 1 Apr 2024 16:55:56 UTC (109 KB)
[v4] Tue, 11 Jun 2024 10:16:34 UTC (119 KB)
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