Exp Exp+Exp

Exp Exp-Exp

Exp Exp*Exp

Exp Exp/Exp

Exp num

Exp (Exp)

Grammar 3.2: Simple expression grammar

In grammar 3.2, replace the operators and / by < and :. These have the following precedence rules: < is non-associative and binds less tightly than + but more tightly than :. : is right-associative and binds less tightly than any other operator. Write an unambiguous grammar for this modified grammar using the method shown in section 3.4.1. Show the syntax tree for 2 : 3 < 4+5 : 67 using the unambiguous grammar