CECS 424 Assignment 3

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1. (14 points) Chapter 2.6 – Exercise 2.4 (a) and (b).
2. (8 points) Show the left-most parse tree for the string a b a a.
Terminal symbols: {a, b}
S -> A M
M -> S | 
A -> a E | b A A
E -> a B | b A | 
B -> b E | a B B
3. (10 points) Construct a parse tree for the input string foo(a,b).
Terminal symbols: {id, =, +, -, *, ‘,’, (, ), }
stmt -> assignment | subr_call
assignment -> id = expr
subr_call -> id ( arg_list )
expr -> primary expr_tail
expr_tail -> op expr | 
primary -> id | subr_call | ( expr )
op -> + | – | * | /
arg_list -> expr args_tail
args_tail ->, arg_list |