Not a structure, moreover, resting on phonemes or individual words as Ramon Jakobson would have it, but a sort of fundamental, proto-syntax. Any well-formed sentence, for example, contains a noun-phrase (NP) and verb-phrase (VB). From this we could create all possible sentences: The old tutor well described the difficulties. Or: The difficulties were well described by the old tutor. By transformation rules the deep structure can be converted to surface sentences with the correct syntax.
But what of: The old tutor elaborated the difficulties? The meaning is practically the same: we might chose either. But is this a different transformation or a different deep structure? And how do we make the choice or substitution? Critics say that Chomsky's grammar is simply formalizing what is still a mystery.
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See that post with different algorithms in metabole
See the journal French Metablog with today different posts