Modals to express deduction: MUST, CAN'T, COULDN'T
Present
Must, can't and couldn't + infinitive are used to express deductions about present events:
That child is really talented. His parents
must be
proud of him.
It's only 10 o'clock. He
can't/couldn't be
at home.
Past
Must, can't and couldn't + perfect infinitive are used to express deductions about past events:
That dress looks expensive. It
must have cost
a fortune.
It
can't/couldn't have been
Carla you saw this morning. She is away on holiday.
Related topics:
Modals to express possibility: MAY, MIGHT, CAN, COULD