NFA 确定化为 DFA
子集法:
f(q,a)={q1,q2,…,qn},状态集的子集
将{q1,q2,…,qn}看做一个状态A,去记录NFA读入输入符号之后可能达到的所有状态的集合。
步骤:
1.根据NFA构造DFA状态转换矩阵
①确定DFA初态(NFA的所有初态集),字母表
②从初态出发,经字母表到达的状态集看成一个新状态
③将新状态添加到DFA状态集
④重复23步骤,直到没有新的DFA状态
2.画出DFA
3.看NFA和DFA识别的符号串是否一致。
练习:
1.解决多值映射:子集法
1). 发给大家的图1

2). P64页练习3

2.解决空弧:对初态和所有新状态求ε-闭包
1). 发给大家的图2

2).P50图3.6

答:
1(1)
| a | b | ||
| 0 | 0 | 01 | 0 |
| 1 | 01 | 01 | 03 |
| 2 | 02 | 01 | 03 |
| 3 | 03 | 01 | 0 |

1(2)
| 0 | 1 | ||
| A | S | VQ | QU |
| B | VQ | ZV | QU |
| C | QU | V | QUZ |
| D | ZV | Z | Z |
| E | V | Z | |
| F | QUZ | VZ | QUZ |
| G | Z | Z | Z |

2(1)
| 0 | 1 | 2 | ||
| A | {ABC} | ε{ABC}={ABC} | ε{BC}={BC} | ε{C}={C} |
| B | {BC} | ε{BC}={BC} | ε{C}={C} | |
| C | {C} | ε{C}={C} |

2(2)
| a | b | ||
| 0 | {0,1,2,4,7} | ε{3,8}={1,2,3,4,6,7,8} | ε{5}={1,2,4,5,6,7} |
| 1 | {1,2,3,4,6,7,8} | ε{3,8}={1,2,3,4,6,7,8} | ε{5,8}={1,2,4,5,6,7,9} |
| 2 | {1,2,4,5,6,7} | ε{3,8}={1,2,3,4,6,7,8} | ε{5}={1,2,4,5,6,7} |
| 3 | {1,2,4,5,6,7,9} | ε{3,8}={1,2,3,4,6,7,8} | ε{5,10}={1,2,4,5,6,7,10} |
| 4 | {1,2,4,5,6,7,10} | ε{3,8}={1,2,3,4,6,7,8} | ε{5}={1,2,4,5,6,7} |
