The Full HD 1080 logo was originally created to differentiate 1080i/p products from 720p products.
In this sense, the Full HD 1080 logo does not automatically imply that the device is capable of outputting in 1080p even though it may often be the case, especially with Sony TVs. It segregates products that go one level further than 720p HD by supporting, at a minimum, 1080i.
As such, the Sony VAIO XL3 Digital Living System qualifies for the Full HD 1080 logo while not supporting 1080p output.
Sony Electronics Inc.