English

Complexity of Local Observation Consistency in Discrete-Event Systems

Systems and Control 2026-08-10 v1

Abstract

Hierarchical and multi-agent supervisory control under partial observation relies on local consistency conditions between a plant and its abstraction: local observation consistency (LOC) for the projection abstractions of hierarchical control, and local relabeling observation consistency (LROC) for the relabeling abstractions of multi-agent systems. Both are companions to a global condition and both have been used without their verification complexity being settled. We show that both are PSpace-complete for nondeterministic plants and decidable in polynomial time for deterministic plants.

Keywords

Cite

@article{arxiv.2608.10111,
  title  = {Complexity of Local Observation Consistency in Discrete-Event Systems},
  author = {Tomáš Masopust},
  journal= {arXiv preprint arXiv:2608.10111},
  year   = {2026}
}