When I said "Keep each qualified defeat that isn't in a cycle
consisting only of itself and some combination of kept defeats
and qualified defeats", I meant:

Keep each qualified defeat that isn't in a cycle all of whose members
are qualified or kept defeats.

Another way of saying it would be:

Keep the defeat in which i beats j if there's no beatpath from j
to i among the entire set of qualified defeats and kept defeats.

Mike Ossipoff


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