Does anybody know the name of the syntactic function which corresponds to the adjective in the following sentence? :

After two hours cycling, we arrived exhausted.

The function is similar to that of the subject complement, but as far as I know, subject complements can only appear after linking verbs. In Spanish we call the above function "complemento predicativo", do you have anything similar in English?

Thanks a lot!!!
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Subject complements can also occur with other verbs. As Greenbaum & Quirk say, in the case, for instance of 'attributes resulting from the event described by a verb used dynamically'.

He drives me crazy.
They died happy.

I think in the first of your examples we should rather talk about object complements, don't you think so?

I've been consulting several grammars, and all of them say that the subject complement can only appear with linking verbs. I'm very confused... Emotion: tongue tied
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OK, I'll replace the first example: 'We left the party angry'.

For the rest, you are on your own. I have offered you my opinion and an authoritative reference.

Yes, I forgot to say thanks...

Well, I'll go on investigating, and will let you know if I find something interesting.
The intransitive verb "arrived" doesn't subcategorize for a direct object. The past participle "exhausted" functions as an adverb describing how, or in what manner we arrived.

Q: How did we arrive?
A: Exhausted. (adverb)

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Ok, so I understand "exhausted" is an adjective which is functioning as an adverbial (what you call "adverb"), isn't it?
I take this kind of construct as 'being' in the adverbial participle phrase being left off.

The ship sailed off (being) empty.
She married (being) young.
He returned home (being) a different man.

Antia seems to be looking for a technical term for the grammatical function 'exhausted' executes. I have been using the term "quasi-complement" but I have no idea where I got it from.

The major difference between the ordinary complements(subject complements and object complements) and quasi-complements is:

If you delete the ordinary complements from sentences, the remaining elements alone don't make any sense.

I am a student. -> You can't delete "a student."
He made me angry. -> You can't delete "angry."

If you leave out the quasi-complements from sentences, the remaining elements alone still maintain complete sentence structures and make sense.

He came home disappointed. -> You can leave out "disappointed," and the rest makes
The government allowed political activists to roam unfettered. ->The deletion of
"unfettered" doesn't hurt the sentence structure.

However, I should admit I sometimes find it difficult to draw the line between the object complements and quasi-complements, if not between the subject complements and quasi-complements.

He punched the window broken.
He knocked me senseless.

Here, "broken" and "senseless" are, in my opinion, object complements. If someone argues they are quasi-complements, I lack the means by which to defend myself.
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