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"The term program is often used today, in conjunction with, and in part as a synonym of, an 'architectural brief'. 'Program' is more likely to refer to the broader objectives whereas 'brief' is more likely to refer to the more specific instructions. 'Program' is also used more specifically to relate to those aspects of a brief which deal with the human movement and use of a building." Therefore, "program requirements" also seems to fit the bill.
A design brief is a comprehensive written document for a design project developed in concert by a person representing the business need for design and the designer. The document is focused on the desired results of design – not aesthetics.
An architectural brief is, in its broadest sense, a requirement a client may have that an architect designs to meet, usually by creating a building to accommodate the requirement(s).