- 设有 NFA M=( {0,1,2,3}, {a,b},f,0,{3} )，其中 f(0,a)={0,1} f(0,b)={0} f(1,b)={2} f(2,b)={3} 画出状态转换矩阵,状态转换图，并说明该NFA识别的是什么样的语言。
状态转换矩阵:
|
|
a |
b |
|
0 |
0,1 |
0 |
|
1 |
|
2 |
|
2 |
|
3 |
|
3 |
|
2.NFA 确定化为 DFA
1.解决多值映射：子集法
1）. 上述练习1的NFA
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
1.(1)
|
|
|
a |
b |
|
0 |
{0} |
{0,1} |
{0} |
|
1 |
{0,1} |
{0,1} |
{0,2} |
|
2 |
{0,2} |
{0,1} |
{0,3} |
|
3 |
{0,3} |
{0,1} |
|
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} |
