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arXiv · 1201.1754

A Note on Undecidability of Observation Consistency for Non-Regular Languages

Tomáš Masopust
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Abstract

One of the most interesting questions concerning hierarchical control of discrete-event systems with partial observations is a condition under which the language observability is preserved between the original and the abstracted plant. Recently, we have characterized two such sufficient conditions---observation consistency and local observation consistency. In this paper, we prove that the condition of observation consistency is undecidable for non-regular (linear, deterministic context-free) languages. The question whether the condition is decidable for regular languages is open.

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Tomáš Masopust. 2012-01-09. A Note on Undecidability of Observation Consistency for Non-Regular Languages. https://arxiv.org/abs/1201.1754

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