We have a lot of information about the meanings of a relation - this helps us to pinpoint the exact meaning for a participial, but it is not a one way operation - the objects around the participial may be getting their meaning from it as well.
We have a past participial. If it is not adjacent to the object noun phrase, or a subject noun phrase, we may not be sure about its object, and we may not be sure about its subject. It may use a collocated preposition. It may be an abbreviated infinitive form.
Some examples:
We refer to the algorithm described in section 7.5.2.
The algorithm described in a few words in the book was very useful.
(the book described the algorithm using a few words)He wanted the name of the person running the company.
He wanted a person of distinction running the company.
("running" is an abbreviated infinitive form, driven by the transinfinitive verb ToWant)
There may be multiple meanings for the relation, and for those meanings, there may be multiple meanings for subject and object.
A preposition may be attached to a particular relation meaning, and may have special requirements the relation must be expressed as a noun, or in passive form, or the preposition must immediately follow the relation, or have no following noun phrase.
The meaning of
The algorithm described in section 7.5.2
He threw out the equipment
He threw the equipment out.
He threw the equipment out the window.
Some prepositions may attach to the root relation, meaning they apply to all meanings.
Multiple meanings may be returned if so, a connection is made to the root relation, and the meanings stored for use in later searching or disambiguation.
We need to look at the prepositional chain more globally if we focus on an individual participial, we may overlook some connection among participials or prepositionals. To do that, we need to consider the environment for each object in the chain, and the possible interaction among them. Sometimes the interaction goes forward in the chain.
Past Participials
The past participial will normally refer back to a noun phrase, but may also be captured by a transinfinitive verb phrase the capture will depend on semantics.
The algorithm described in section 5.3.2
The algorithm described in a few words in section 5.3.2
He wanted the new book by Fred Nerk banned in Australia
He wanted the name of the book banned in Australia
We need to search right after the participial to find any strong prepositions, but also need to know when to stop.
The algorithm described in a few words in chapter IV of a new book by Fred Nerk
This is not "described by Fred Nerk"
It is "described in chapter IV" a different meaning of ToDescribe.
It may be necessary to resolve anaphora to find the object of the past participial
The person in the organisation known for his good works
The person in the organisation known for its good works
As soon as we find a specific meaning ("in a few words" did not do that), we have to stop. That allows "book by Fred Nerk" to be turned into a different structure.
Another way of looking at it is that "book by Fred Nerk" has an implied past participial "book written by Fred Nerk" (an implication that "the book by the coffee pot" does not have).
When should we insert these implied participials? and how blind to context? "He ran the book by John to get his impression" doesnt imply that John wrote it. The "by" here has a more specific meaning tied to "ToRun", although we can keep adding to it "He ran the new book by John Pilger past Fred to get his impression"
Present Participials
The Present Participial may have a noun phrase, a verb phrase or a prepositional to its left. It can also have a comma, which may make it a secondary clause.
The person running the company
The person of influence running the company
He wanted a person of influence running the company (partial infinitive)
He was found loitering with intent (partial infinitive)
The person accused of defrauding the company (subject participle)
He stood without moving, staring into the distance.
Prepositionals
The Prepositional may have a noun phrase, a participial or verb phrase, or a preposition to its left.
A person of influence
The person banned from the organisation
The person loitering with intent
He was accused of fraud
We put up with it for a long time
The bill was struck down out of a sense of honour
Some Questions
Do we need to build the structures so we can hypothesise about them it is not needed in the simplest cases, but some means of incremental solving across the structure looks necessary in the harder cases.
If we do build hypothetically, what do we do where meanings can have either RELATION2 or RELATION3 operators? (ToDescribe as a case in point)
We can handle the case where two or more meanings are still standing after using what we know about subject and object for a participial what do we do where no meaning is left use the one most likely, or go back to the root meaning, and say all are possible?
See
Prepositional Chains - a presentation