LEVEL 9

Alternating Inference Chain

Strong and weak links across candidates form a logical implication chain.

How to find it

  1. Choose a candidate proposition.
  2. Alternate strong and weak implications across houses and cells.
  3. Use matching endpoints or a contradiction to justify the elimination.

Logical demonstration

The violet cells represent the pattern; the gold cell represents the resulting placement or elimination. Verify every highlighted candidate belongs to the required houses before acting.

Common mistakes

  • Using cells that do not share the required row, column, box or peer relationship.
  • Removing a candidate before confirming every occurrence in the pattern.
  • Confusing a possible pattern with a completed logical proof.

GUIDED PRACTICE · EXERCISE 1 OF 3

Alternating Inference Chain training

Identify the logically justified next action. Violet cells form the pattern and the gold cell is the proposed result.

Which action is justified?

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