4. (10 pts) Using the following grammar where <assign> is the start symbol:<?xml

Question

4. (10 pts)  Using the following grammar where <assign> is the start symbol:<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />

1.   <assign>    ------>  <id> := <expr>

2.   <id>          ------>  A | B | C

3.   <expr> ------>  <expr> + <term>

4.   <expr> ------> <term>

5.   <term>      ------>  <term> * <factor>

6.   <term>      ------> <factor>

7.   <factor>    ------>  ( <expr> )

8.   <factor>    ------> <id>

a)   Provide the left-most derivation of the sentence: C := (A + C) + B * C (Note:   each derivation step MUST be followed by the number of the production rule that made it possible). (6 pts)

b)   Provide the parse tree of the derivation in a) above. (4 pts).

Explanation / Answer

The declarations section of the yacc grammar file contains the following:

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