Since you seem to like dictionary definitions let's try a few:
1 A quote from a paper:
http://lingo.stanford.edu/pubs/WP-2002-01.ps.gz
"According to the definition in Collins Cobuild Dictionary of Phrasal Verbs, the expression phrasal verb refers to the combinations of verbs with adverbial or prepositional particles"
2 From the Oxford University Press
www.oup.com/elt/catalogue/teachersites/ ... s/glossary
"particle: an adverb or preposition that can combine with a verb to make a phrasal verb"
3 Try the definition in paragraph 1.2 of this:
www.cog.brown.edu:16080/Research/nlp/pa ... lloc01.pdf
(That's Collins, Stanford/Cambridge, Oxford and Brown. What next?)
4 Chambers defines a phrasal verb as a verb phrase combined with an adverb or preposition or both. Here's the online version:
www.chambersharrap.co.uk/chambers/chref ... title=21st
5 This:
A phrasal verb in Present-Day English is a verb that takes a complementary particle, in other words, an adverb resembling a preposition, necessary to complete a sentence. A common example is the verb “to fix up”: “He fixed up the car.” The word “up” here is a particle, not a preposition, because “up” can move: “He fixed the car up.” This movement of the particle “up” quickly distinguishes it from the preposition “up”. Because the forms of the particle and the preposition are themselves identical, it is easy to confuse phrasal verbs with a very similar-looking type of verb: the prepositional verb"
from:
www.chass.utoronto.ca/~cpercy/courses/6361lamont.html
6 "According to the Longman Student Grammar of Spoken and Written English (Biber, Conrad, & Leech, 2002), phrasal verbs consist of a verb followed by an adverbial particle, such as the verb “find out.”
from:
http://oak.cats.ohiou.edu/~kw382698/Phrasal%20Verbs.htm
Can you see that there are particles which are exclusively adverbial (eg back, out. away) and there are particles that are exclusively prepositional (eg to, of, into). The rest of the particles are one or the other depending on context (see my "run over" example) An easy test is to look at the 3 part verbs, the first particle is usually one of the exclusively adverbial particles and it "needs" one of the prepositionals to be complete:
* I look forward your visit.
The argument often is whether to include "verb and preposition combinations" in the term "phrasal verb".
My opinion is that for teaching purposes we should include the more figurative verbs plus prep. but that, linguistically, phrasal verbs should only be considered as verbs plus adverbial particles, when there are two parts (though of course as verbs followed by adverbial followed by prepositional particles in the case of the 3 parters).
It's when these particles are adverbial that they are splittable:
"I'm putting you through": adverbial
"Let's run through this again": prepositional (and strictly not a PV in linguistics)
So my answers to metal56's list are these:
turn down: "turn down the offer" down is adverbial and a pv, turn down the road is prep and not even a pv.
believe in (prep and not a pv)
get up: get them up/get up that ladder (see turn down)
look forward to: (forward adverbial, to prepositional)
have faith in: red herring
look after (verb and preposition, PV for teaching but not linguistic purposes)
get on with (see look forward to)
talk about (not a PV except perhaps for teaching purposes)
put up with (see look forward to)
break down ( pv, verb plus adverbial particle)
run out of (see "look forward to")
wait for : might be taught as a PV but isn't strictly
get off: similar to turn down, depending on the position of the pronoun object.
If I can find the syntactic rules for true phrasal verbs I will post them for you.