Breakdown of Der Hund dürfte geschlafen haben.
der Hund
the dog
haben
to have
schlafen
to sleep
dürfen
to be allowed to, may
Questions & Answers about Der Hund dürfte geschlafen haben.
Doesn't dürfen mean "to be allowed to"? Why doesn't this mean "The dog was allowed to have slept"?
While dürfen normally expresses permission, it has a special subjective meaning when used in its Konjunktiv II form (dürfte). Here, it expresses a strong assumption or high probability, translating roughly to "probably" or "most likely." If you wanted to express actual past permission ("The dog was allowed to sleep"), you would use the regular past tense: Der Hund durfte schlafen.
How certain is dürfte compared to other subjective modals like muss or könnte?
It sits right in the middle! Use muss for near certainty ("must have"), dürfte for high probability ("probably did"), and könnte for a mere possibility ("might have"). So dürfte geschlafen haben means you are fairly confident the dog was sleeping, but you aren't absolutely certain.
Why do we use geschlafen haben at the end of the sentence?
To make an assumption about something that already happened, you need a special structure: the conjugated modal verb (here, dürfte) paired with the Perfekt Infinitive. The Perfekt Infinitive is simply the past participle of your main verb (geschlafen) followed immediately by its helper verb in the infinitive (haben or sein).
The English translation says "was probably sleeping." Does German have a specific structure for this continuous action?