Grouped Three-Node Same-Digit AIC Ring
(3 Strong Links) Grouped X-Loop is an AIC construction in which at least one node side represents a group of candidate occurrences. A group is true when at least one represented occurrence is true and false only when all represented occurrences are false.
What is a Grouped Three-Node Same-Digit AIC Ring?
A grouped node must name every candidate occurrence represented on each side. Its strong relation establishes that at least one side is true; a weak inference to another node is valid only when every occurrence that could make the first group true is incompatible with the connected proposition.
How to spot it
For one digit, identify the candidate groups left by row-box or column-box intersections, or by the stated house restriction. Draw the complete node sequence and test every group member at each weak connection. Cell count or visual shape alone does not establish the ring.
The logic
Propagate false through a strong inference to make the other side true, and true through a weak inference to make the connected proposition false. Never infer that a group is false merely because not all of its members can be true. Apply an endpoint or ring conclusion only after the complete sequence or closure is proved.