Presentation interpretation is a model-theoretic interpretation function from a hierarchically structured expression into the phonetic domain(s).
The interpretation function
e.g. from ID-structures in morphology and syntax into autosegmental/prosodic lattices
(``rubber time'')
i.e. phonology, morphophonology, prosodic hierarchy
e.g. from autosegmental/prosodic structures into absolute spatio-temporal coordinates
(``clock time'')
i.e. phonetics
For detailed computational theory of time-mapping and an application to speech recognition cf. [8]
The approach has also been used by Petra Wagner in speech synthesizer design (M.A. thesis).