PVASS Reachability is Decidable

Fuente: arXiv
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Auteurs principaux: Guttenberg, Roland, Keskin, Eren, Meyer, Roland
Format: Preprint
Publié: 2025
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author Guttenberg, Roland
Keskin, Eren
Meyer, Roland
author_facet Guttenberg, Roland
Keskin, Eren
Meyer, Roland
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_05015
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle PVASS Reachability is Decidable
Guttenberg, Roland
Keskin, Eren
Meyer, Roland
Logic in Computer Science
Formal Languages and Automata Theory
F.1.1
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.
title PVASS Reachability is Decidable
topic Logic in Computer Science
Formal Languages and Automata Theory
F.1.1
url https://arxiv.org/abs/2504.05015