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text: 'This is not universally agreed-upon, but I use "$A$ decides whether or not $B$ holds" to mean "$A$ outputs $1$ if $B$ holds, and outputs $0$ otherwise".\n\nIf I said "$A$ decides if $B$ holds", I would consider that ambiguous: it might mean "$A$ outputs $1$ if $B$ holds" without the requirement on $A$'s behaviour if $B$ doesn't hold.',
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