This path is defined as path in a program's [flowchart such that] all the following hold

Question

In Huang's 1975 paper, a decision-to-decision path is defined as https://en.wikipedia.org/wiki/Path_(graph_theory) in a program's https://en.wikipedia.org/wiki/Flowchart such that all the following hold (quoting from the paper):

its first constituent edge emanates either from an entry node or a decision box;
its last constituent edge terminates either at a decision box or at an exit node; and
there are no decision boxes on the path except those at both ends

<Source: Decision-to-decision path in WIKIPEDIA https://en.wikipedia.org/wiki/Decision-to-decision_path>
I'd like to know if "that" apposition clause modifies the demonstrative adjective "such" and "such" modifies "flowchart."
Thank you in advance for your help.

Mister Micawber · Accepted Answer

park sang joonI'd like to know if "that" apposition clause modifies the demonstrative adjective "such" and "such" modifies "flowchart."

'Such' refers to 'path'. The 'that' clause does modify 'such'.

Park sang joon · Answer

I'm so sorry, but I didn't fully understand your account.

I think you meant "such" was a demonstrative pronoun; am I right?
If so, I'd also like to know how "flowchart" can modify a demonstrative pronoun.

Mister Micawber · Answer

park sang joon think you meant "such" was a demonstrative pronoun; am I right?

No; there are only 4 demonstrative pronouns: this, that, these and those. I notice that none, neither and such are sometimes listed among them, but they do not refer in the same way. Suchis pronomial there, however.

park sang joon I'd also like to know how "flowchart" can modify a demonstrative pronoun.

It doesn't. You have not bracketed a collocated phrase. The prepositional phrase modifies 'path':

This path is defined as a path [in a program's flowchart] such that all the following hold

Park sang joon · Answer

Thank you, Mr.Micawber, for your continuing support.

And I'm so sorry for my belated question.

This path is defined as a path [in a program's flowchart] such that all the following hold.

"This path is defined as a path such that~"
I dropped modifiers for conveniently reviewing.
I was wondering if the verb "define" in passive voice can take the object "such."

Mister Micawber · Answer

park sang joonI was wondering if the verb "define" in passive voice can take the object "such."

No, it is the second 'path' that is the referent.

Park sang joon · Answer

Thank you, Mr.Micawber, for your continuing to answer.

I'm so sorry but, I didn't understand what "the second path" means.
Ans so I'd like to know if I can take it that a path" is in apposition with "such."

Mister Micawber · Answer

park sang joonI didn't understand what "the second path" means.

There are two of the word 'path' in the sentence. The referent for 'such' and the prepositional phrase is the second 'path'.

park sang joon I'd like to know if I can take it that a path" is in apposition with "such."

Which 'path'?

Park sang joon · Answer

Thank you, Mr.Micawber, for your sincere concern and continuing support.

The referent for 'such' and the prepositional phrase is the second 'path'.
Which 'path'?

This path is defined as a path [in a program's flowchart] such that all the following hold.
I might think of the same path as what you think.
I should say the underlined word.

Mister Micawber · Answer

It's not an appositive, at least not a standard one; 'such' is a pronoun referent.

Park sang joon · Answer

I'm so sorry for my badgering you; I can't find the difference between pronouns and pronoun references.

I don't think a pronoun can stand next to a noun without a modification relation.
And so, I'd like to know what you think about the expression that the pronoun "such" modifies the noun "path."

This path is defined as path in a program's [flowchart such that] all the following hold

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