the semantics of the Greek perfect. Linguistics, 42-2:387–418) make some points which strengthen the case for an inherent relationship between the "perfect" and telicity/perfectivity. Haug notes that the Greek perfect refers to a state obtaining from the culmination of an action—culmination typically being expressed with the aorist. Haug writes:
This can be seen readily with the verb thnēskein (to be dying, M.W.): in principle, the imperfective could be used of a dying person who nevertheless survived. If the aorist is used, however, the person died irrevocably. And the perfect, of course, refers to
the state resulting from this culminated event expressed by the aorist. It does not mean ‘having had a near-death experience.’
Haug then goes on to discuss the semantic contrast between the PDE perfect (refers to a so-called resultant state) and the Greek perfect (refers to a so-called target state) and the way the perfect morphology interacts with atelic and stative VPs.
Another point in favor of the semantic connection between telicity/perfectivity and the "perfect" is the observation made by Madhav Deshpande (1992. Justification for verb-root suppletion in Sanskrit. Historische Sprachforschung 105:18–49) that when a Sanskrit verb has suppletive imperfective and perfective stems the "perfect", if it exists, is typically formed from the perfective allomorph.