Use of terms 'minor sentence' and 'sentence fragment'

[Molly]

Do you, personally, use the term "minor sentence", or do you use "sentence fragment", to describe the type of item below?

[Nanucbe]

'Three' is short for 'I am leaving at three.' In context, this is enough.
Is your name Joel ?
1. Yes.
2. Yes, it is.
3. Yes , it is Joel.
All are possible.
The first one is a reference clause, which has no meaning when uttered out of context.
Your name is Joel, isn't it?
Here you have a tag or what can be called a subordinate clause, a 'b' clause, or a minor as against a major clause.
nanu.nana

[Molly]

I know all that, nachube but I'm asking which terminology you use. Do you, personally, use the term "minor sentence", or do you use "sentence fragment", to describe the type of item above?

[Nanucbe]

Fragment is a very convenient word. All expressions which are not complete can only be fragments, if they have verb elements in them. If they don't have verb elements but convey some meaning , you may have to call them phrases.
nanu.nana