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GATE | GATE-CS-2005 | Question 86
Consider the following expression grammar. The semantic rules for expression calculation are stated next to each grammar production.
E → number E.val = number. val
| E \'+\' E E(1).val = E(2).val + E(3).val
| E \'×\' E E(1).val = E(2).val × E(3).val
Assume the conflicts in Part (a) of this question are resolved and an LALR(1) parser is generated for parsing arithmetic expressions as per the given grammar. Consider an expression 3 × 2 + 1. What precedence and associativity properties does the generated parser realize?
(A)
Equal precedence and left associativity; expression is evaluated to 7
(B)
Equal precedence and right associativity; expression is evaluated to 9
(C)
Precedence of \'×\' is higher than that of \'+\', and both operators are left associative; expression is evaluated to 7
(D)
Precedence of \'+\' is higher than that of \'×\', and both operators are left associative; expression is evaluated to 9
Answer
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