Spatial or counting miscount
Definition
A spatial or counting miscount occurs when a solution includes forbidden configurations, misses valid ones, or counts a configuration more than once.
Explanation
Begin by stating what counts as one configuration and which constraints it must satisfy. Then examine the cases: do they cover every valid possibility, and can any possibility belong to more than one case?
Adding the subtotals is a useful arithmetic check. It is not enough by itself, because an internally consistent total can still include duplicate or invalid configurations.
For a small instance, list the possibilities directly and compare them with the proposed method. Use that example to investigate the general counting argument.
Scope and evidence
This is a teaching label, not a measured error rate. The checks apply to human and chatbot solutions alike.
Sources
Related concepts
Spatial injection · Hallucination autopsy procedure · Collaborative prompting