Would it be provable that it can or cannot be given? What literature would you recommend me for looking into various theories of truth? Thanks.
Which sense of trivial? In the non-pejorative sense, truth is trivial, mundane, quotidian. Truth is merely a condition of propositions satisfied when what is said is corresponds with (matches, fits, etc.) what is. See chapter 9 for Searle's presentation and defense of the correspondence theory of truth.
Also, see here for references to the works of William James's "pragmatic" approach to truth.