Does anyone know of any work applying this to Koine/classical Greek?
It looks interesting as a cross-over with my relevance theory interests. The basic principle as far as I can grasp on the very little reading I have done, is that understanding and producing an utterance is done in a linear fashion as words are produced. The words create expectations for fulfilment with context etc playing in. It can be represented in branching tree structures, interpreted from mother down to daughter nodes with each mother concept producing an expectation of fulfillment through its daughters until the first requirement for a proposition is fulfilled. So the syntax isn't put over a sentence once produced and separated from production / linear understanding.
There are a lot of articles on left-dislocation, ellipsis, but also some on modern Greek issues.
I have probably butchered the above, but hey - always benefit from being corrected
