have something printed

[GoldfishLord]

headed: having the name and address of a person, an organization, etc. printed at the top

Source: https://www.oxfordlearnersdictionaries.com/definition/english/headed?q=Headed

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Could "printed at the top" be seen as a reduced relative clause?

 

[5jj]

No.

 

[GoldfishLord]

-headed:
having the type of head or number of heads mentioned

Source: https://www.oxfordlearnersdictionaries.com/definition/english/headed?q=Headed

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Could "mentioned" be seen as a reduced relative clause?

 

[BobK]

That makes no sense.

Returning to your original question, are you aware of its ambiguity?

 

[Flask]

headed: having the name and address of a person, an organization, etc. printed at the top

Source: https://www.oxfordlearnersdictionaries.com/definition/english/headed?q=Headed

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Could "printed at the top" be seen as a reduced relative clause?

I agree with 5jj that "printed at the top" is not a reduced relative clause in that construction. The phrase "printed at the top" does not specify a particular type of name and address, as it would if it were a reduced relative clause there.

A headed document has the sender's name and address printed at the top of it.

This construction is labeled "The have-existential device" in the big 1985 grammar, A Comprehensive Grammar of the English Language (pp. 1411-1412). As the authors point out, it is somewhat similar to the existential "there" construction:

There are a name and an address printed at the top of a headed document.

However, with the have-existential device, the subject is not a dummy element (there), and the subject is represented as an affected thing. A headed document has the sender's name and address such that they are printed at the top of the document.

 

[GoldfishLord]

This construction is labeled "The have-existential device" in the big 1985 grammar, A Comprehensive Grammar of the English Language (pp. 1411-1412). As the authors point out, it is somewhat similar to the existential "there" construction:

There are a name and an address printed at the top of a headed document.

However, with the have-existential device, the subject is not a dummy element (there), and the subject is represented as an affected thing. A headed document has the sender's name and address such that they are printed at the top of the document.

Is the red part a reduced relative clause?