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Machine to Accept

Machine to Accept. (11+010)*(111) +. Initial Design. C. H. 1. 1. 1. λ. G. A. λ. D. 0. 1. 1. 0. E. F. 1. B. 0. 1. λ. ->. A. B. C. D. B. E. C. A. D. F. E. A. F. G. G. H. H. D. *. State Table. Complete Nulls. Nothing to do in this example. 0. 0. 1. 1.

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Machine to Accept

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  1. Machine to Accept • (11+010)*(111)+

  2. Initial Design C H 1 1 1 λ G A λ D 0 1 1 0 E F 1 B

  3. 0 1 λ -> A B C D B E C A D F E A F G G H H D * State Table

  4. Complete Nulls • Nothing to do in this example

  5. 0 0 1 1 λ -> -> A A B B C CF D B B E E C C A A D D F F E E A A F F G G G G H H H H F D * * Remove nulls

  6. Convert to deterministic

  7. Rename

  8. 0 1 =0 0 1 =1 -> a b c 0 0 0 0 b d e 0 0 0 0 c d f 0 0 0 0 d d d 0 0 0 0 e a d 0 0 0 0 f b g 0 0 1 1 g d h 1 0 0 2 h b i 0 0 1 1 i d j 1 0 1 3 j b i 1 0 1 3 0 & 1 - equivalence

  9. 0 1 =1 0 1 =2 -> a b c 0 0 0 0 b d e 0 0 0 0 c d f 0 0 1 1 d d d 0 0 0 0 e a d 0 0 0 0 f b g 1 0 2 2 g d h 2 0 1 3 h b i 1 0 3 4 i d j 3 0 3 5 j b i 3 0 3 5 1 & 2 -equivalence

  10. 0 1 =2 0 1 =3 -> a b c 0 0 1 0 b d e 0 0 0 1 c d f 1 0 2 2 d d d 0 0 0 1 e a d 0 0 0 1 f b g 2 0 3 3 g d h 3 0 4 4 h b i 4 0 5 5 i d j 5 0 5 6 j b i 5 0 5 6 2 & 3 - equivalence

  11. 3 & 4 - equivalence

  12. 4 & 5 - equivalence

  13. 0 1 =5 0 1 =6 -> a b c 0 1 2 0 b d e 1 3 4 1 c d f 2 3 5 2 d d d 3 3 3 3 e a d 4 0 3 4 f b g 5 1 6 5 g d h 6 3 7 6 h b i 7 1 8 7 i d j 8 3 9 8 j b i 9 1 8 9 5 & 6 - equivalence

  14. State 0 1 -> 0 1 2 1 3 4 2 3 5 3 3 3 4 0 3 5 1 6 6 3 7 * 7 1 8 8 3 9 * 9 1 8 * Minimized machine

  15. 1 2 5 1 1 6 1 0 0 0 7 0 0 1 1 1 4 8 1 0 3 black hole 9 1 Our machine for (11+010)*(111)+

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