Alternative variant of parse-verb-phrase

Louis Reasoner suggests that, since a verb phrase is either a verb or a verb phrase followed by a prepositional phrase, it would be much more straightforward to define the procedure parse-verb-phrase as follows (and similarly for noun phrases):

(define (parse-verb-phrase)
  (amb (parse-word verbs)
       (list 'verb-phrase
             (parse-verb-phrase)
             (parse-prepositional-phrase))))

Does this work? Does the program's behavior change if we interchange the order of expressions in the amb ?

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