Larks comments on To signal effectively, use a non-human, non-stoppable enforcer - LessWrong
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Sorry for the confusion. I understand now; the extra space between two of the columns confused me.
However, I suspect we need a stronger logic to represent this properly. If Q always defects, no matter what, "you would cooperate with me if ... I ... cooperate with you" is false, but is given true in the propositional interpretation.