Given below are two finite state automata (→ indicates the start state and F indicates a final state)
Y:
|
a |
b |
| $\rightarrow$ 1 |
1 |
2 |
| 2(F) |
2 |
1 |
Z:
|
a |
b |
| $\rightarrow$ 1 |
2 |
2 |
| 2(F) |
1 |
1 |
Which of the following represents the product automaton Z × Y?
-
| | a | b |
|-----------------|---|---|
| $\rightarrow$ P | S | R |
| Q | R | S |
| R(F) | Q | P |
| S | Q | P |
-
|| a | b |
|-----------------|---|---|
| $\rightarrow$ P | S | Q |
| Q | R | S |
| R(F) | Q | P |
| S | P | Q |
-
| | a | b |
|-----------------|---|---|
| $\rightarrow$ P | Q | S |
| Q | R | S |
| R(F) | Q | P |
| S | Q | P |
-
|| a | b |
|-----------------|---|---|
| $\rightarrow$ P | S | Q |
| Q | S | R |
| R(F) | Q | P |
| S | Q | P |