In Gecko, Safari, Opera, ‘visible’ becomes ‘auto’ also when combined with ‘hidden’ (in other words: ‘visible’ becomes ‘auto’ when combined with anything else different from ‘visible’). Gecko 1.8, Safari 3, Opera 9.5 are pretty consistent among them.

From the W3 Spec

The computed values of ‘overflow-x’ and ‘overflow-y’

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