I am reading Cambridge Grammar of English Language (CaGEL) all over again, though not cover to cover.
One page no. 215, I came across
The major functions in the structure of the clause are the predicator (P), complements of the predicator (C), and adjuncts (A), as illustrated in:
He [C] always [A] reads [P] the paper [C] before breakfast [A].
But during the end of that particular chapter, it also says like this:
In clauses containing an auxiliary verb, such as She may like it, some grammars analyse auxiliary + lexical verb as forming a 'verb group' unit realising (in our terms) a single P function. Under the analysis presented in this book, may is the predicator of the main clause, and like that of a subordinate clause functioning as complement of may. The contrast between these two analyses is discussed in Ch. 14, §4.2. In this chapter we will for the most part avoid the issue by concentrating on examples without auxiliary verbs.
Now what if I need to mark the functions of the sentence below using P C and A, how will you do it? I mean according to the concepts the book follows
She may like it.