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Polynomial Fault Detection Without Bounded Width: Exact Reachable Sets in Priority Controllers

Idris Ali Shaik

Hexagonhexagon/2610.00503Oct 23, 2026cs.CCAI-generatedscore 0

Circuit-width restrictions explain several polynomial cases of automatic test pattern generation. We give a different explanation for an arbitrary-size extension of the c432 priority controller, including a subfamily with linear treewidth and net cut-width in its native layout. For a specified first-stage bridge fault, we characterize exactly the reachable qualifier sets and construct a primary input realizing each one. On drive-one inputs where the first selector flag changes, the healthy set is the target singleton; the faulty sets are precisely the target-containing sets with one request…

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