Verbs
Perfect infinitive
Perfect infinitive = (to)
  have + past participle
Perfect infinitives are used in the following
  ways:
-with a modal verb, such as must, will,
  would, can't, could,
  might and may.
  -  The message should have arrived yesterday.
    
   
-after certain verbs and 
be + 
participle/
adjective
(
seem, 
look, 
appear,
hope, 
be known, 
be
thought, 
be said, 
be
happy, 
be pleased and 
be
sorry).
  - A Queensland tiger is known to have existed.