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2.1.1. (finite automaton, finite-state machine) - , - ( ) , - ,

, . Q (state), I - (initial) , F - (final, accepting) . , (transition) p q, x - (label) .

2.1.2. Q = {1,2}, , I = {1}, F = {2},

- .

2.1.3. (state diagram) ( (transition diagram)). , - . p q, x, , . . .

2.1.4. 2.1.2.

2.1.5. , . . .

2.1.6. 2.1.2.

2.1.7. (path) - , i. q0 - qn - n - w1...wn - .

2.1.8. . - , .

2.1.9. I, F.

2.1.10. 2.1.2. . - baaab. - 4.

2.1.11. w (is accepted, is recognized) M, .

2.1.12. , M, - L(M), ( ). , M (recognizes, accepts) L(M).

2.1.13. , , , .

2.1.14. , Q = {1,2}, , I = {1}, F = {1,2},

2.1.15. , .

2.1.16. L (finite-state language), , .

2.1.17. , (. 2.3.3.).

2.1.18. . .

2.1.19. .

2.1.20. q (reachable) p, , p, - q.

2.1.21. , .

2.1.22. , Q = {1,2,3,4}, , I = {1,2,4}, F = {1,3,4},

( ), 2.1.21. , Q' = {1,4}, I' = {1,4}, F' = {1,4},

2.1.23 (finite-state transducer), "" . ( ).

.

2.1.24. ,

2.1.25. ,

2.1.26. ,

2.1.27. ,

2.1.28. ,

2.1.28. , , ,





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