I am wondering if some symbols such as the ones in propositional logic have precedence over others in drawing parse trees.For example, the sentence: p  q  r, would  take precedence over  in becoming the root of the parse tree or vice versa? Or is there no precedence meaning,  or  could be used the root?
Is there any precedence for symbols for constructing parse trees?
parsers;propositional logic
Operator precendences have to be specified, either in the grammar or using other means. There is no inherent precendence to rules, but you can fix one arbitrarily.