The 'without A or B' phrase is ambiguous. In common use (if there is such a thing), I would say the word 'both' would make the sentence clear: 'Without both A and B' means both are absent. 'Without either A or B' means just one is absent.
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wilpeter'Without either A or B' means just one is absent.That could mean with neither A nor B to me; both are absent.