Consider the following grammar.

$$\eqalign{ & S \to S*E \cr & S \to E \cr & E \to F + E \cr & E \to F \cr & F \to id \cr} $$

Consider the following LR(0) items corresponding to the grammar above.

$$\eqalign{ & (i)\,S \to S*.E \cr & (ii)\,E \to F. + E \cr & (iii)\,E \to F + .E \cr} $$

Given the items above, which two of them will appear in the same set in the canonical sets-of-items for the grammar?

In the correct grammar of the previous question, what is the length of the derivation (number of steps starring from S) to generate the string $${a^l}{b^m}$$ with $$l \ne m$$?

Consider the following C code segment.

for (i = 0; i < n; i++) 
  { 
      for (j=0; j < n; j++) 
      { 
          if (i%2) 
          { 
           x += (4*j + 5*i); 
           y += (7 + 4*j); 
          } 
       } 
  } 

Which one of the following is false?

Consider the following translation scheme.

$$\eqalign{ & S \to ER \cr & R \to *E\left\{ {pr{\mathop{\rm int}} ('*');} \right\}R\,|\,\varepsilon \cr & E \to F + E\left\{ {pr{\mathop{\rm int}} (' + ');} \right\}\,|\,F \cr & F \to S\,|\,id\,\left\{ {pr{\mathop{\rm int}} (id.value);} \right\} \cr} $$

Here id is a token that represents an integer and id.value represents the corresponding integer value. For an input '2 * 3 + 4' this translation scheme prints