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a + b

a + b. . a. b. b. q 0. q 1. q 2. q 3. q 4. Motsvarande RE = ( a + b )* abb. a. a. a. b. b. s 0. s 1. s 3. s 4. a. b. a. b. s 2. b. DFA för ( a + b ) * abb. a. a. a. b. b. s 0. s 1. s 3. s 4. a. b. a. b. s 2. b. b. a. a. a. b. b. s 0 , s 2.

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a + b

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  1. a+b  a b b q0 q1 q2 q3 q4 Motsvarande RE = ( a+b )* abb

  2. a a a b b s0 s1 s3 s4 a b a b s2 b DFA för ( a + b )*abb

  3. a a a b b s0 s1 s3 s4 a b a b s2 b b a a a b b s0 , s2 s1 s3 s4 a b Minimering av DFA sluttillstånd

  4. b q5 q4   a    q0 q1 q2 q3 q9 q8 c   q7 q6  Final states DFA Minimization a ( b + c )* The subset construction b s2 b a s0 s1 b c c s3 c

  5. b s2 b + c b a s0 s1 a b c s0 s1 c s3 c Then, apply the minimization algorithm to produce the minimal DFA final states

  6. A B C D E

  7. q 0

  8. b b a b a q0 q1 q2 a

  9. b b a b a q0 q1 q2 a

  10. 1 2 3 4 5 6

  11. Ratio(x,2)

  12. Greater?

  13. Sipser 2.10 p. 105

  14. 1 2 3 4 5

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