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Reachability problem in 3-VAS complexity settled to PSPACE-complete

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Researchers have determined the precise complexity of the reachability problem within specific types of vector addition systems (VAS). They have proven that the reachability problem for symmetric vector addition systems in dimension 3 (3-VAS) is PSPACE-hard. This finding, combined with existing upper bounds, establishes the problem's complexity as PSPACE-complete for both general 3-VAS and 4-VAS, as well as their symmetric variants. AI

RANK_REASON Academic paper detailing computational complexity research. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.CL →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Reachability problem in 3-VAS complexity settled to PSPACE-complete

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Academic paper detailing computational complexity research. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.CL TIER_1 English(EN) · {\L}ukasz Kami\'nski, S{\l}awomir Lasota ·

    Reachability in 3-VAS

    arXiv:2608.04786v1 Announce Type: new Abstract: We settle the exact complexity of the reachability problem in (stateless) vector addition systems (VAS) in fixed low dimension. In dimensions 2-4 it has only been known to be sandwiched between NP and PSPACE. We prove PSPACE-hardnes…

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