Match the following:

GROUP 1	GROUP 2
P. Lexical analysis	1. Graph coloring
Q. Parsing	2. DFA minimization
R. Register allocation	3. Post-order traversal
S. Expression evaluation	4. Production tree

Consider the grammar defined by the following production rules, with two operators * and +

$$\eqalign{ & S \to T*P \cr & T \to U\,|\,T*U \cr & P \to Q + P\,|\,Q \cr & Q \to id \cr & U \to id \cr} $$

Which one of the following is TRUE?

What is the maximum number of reduce moves that can be taken by a bottom-up parser for a grammar with no epsilon and unit-production ( i.e., of type $$A \to \varepsilon $$ and $$A \to a$$ ) to parse a string with n tokens?

Given the language L= { ab, aa, baa }, which of the following strings are in L* ?

1) abaabaaabaa
2) aaaabaaaa
3) baaaaabaaaab
4) baaaaabaa