-
30 3:
3.1:
-
.
.
1.
1.
2.
2 , 30, 3.1:
3.
2.
1.
2.
3.
4.
5. :
.
-
.
:
3 , 30, 3.1:
(-)
-
B. 1. 1.
4 , 30, 3.1:
: .
: ={0,1} ={a,b} ={A,B,,,}
: .
, *.
* Kleene 0
={0,1} *={,0,1,00,01,10,11,000,001,010,011,100,101,110,111,}
: 0
-
B. 1. 2.
5 , 30, 3.1:
: *.
L. ={0,1}:
L1={ w | w 00}
.
1
L2={ w | w 11} L3={ w | w 01} L4={ w | w 2} L5={ w | w 1} L6={ w
| w } L7={ w | w } .
-
B. 1. 3.
6 , 30, 3.1:
-
B. 2. 1.
7 , 30, 3.1:
.
.
: L={w{0,1}*|w 1}; 1(0+1)* 1(0+1)*
.
1 1. (0+1)* 0 1 ( 0+1) 0 .
Kleene 0,1,2, : 1 1(0+1)=10 11 1(0+1)(0+1)=100 101 110 111 .
-
B. 2. 1.
8 , 30, 3.1:
:
:
1. 2. + 3. * Kleene. 0 .4.
.. 11*+(00)* :
( ) ( )
4. 5.
( ) .
Kleene, +, .
-
B. 2. 2. : {0,1}:
9 , 30, 3.1:
L1={ w | w 1 } L2={ w | w 00 } L3={ w | w 01 } L4={ w | w 2 }
L5={ w | w 2 } L6={ w | w 2 } L7={ w | w } L8={ w | w } L9={ w | w
00} L10={ w | w 01} L11={ w | w 01} L12={ w | w 0}
-
B. 2. 3.
.
:
10 , 30, 3.1:
*
rL
-
B. 2. 4.
.
:
11 , 30, 3.1:
:
.
.
.
. (.3) ( 4) Turing ( 5) ( 5)
-
B. 2. 4. : :
12 , 30, 3.1:
1. (0+1)*11(0+1)*2. 0(0+1)*103. 00(0+1)*11(0+1)*114. 0(0+1)*0 +
1(0+1)*15. 1(0+1)*0 + 0(0+1)*16. 0*(10*10*)*7. 0(0+1)*+(0+1)*18.
1(00+01+10+11)*9. (0+10*1)*10. 0*(10*10*10*)*
-
B. 2. 5.
13 , 30, 3.1:
:
: +
:
L={,0,1,00,01,10,11}
L :+0+1+00+01+10+11
-
. 1
14 , 30, 3.1:
,*
1L *2L
-
. 1 :
L1={w{0,1}*| w 00 10}
L2={w{0,1}*| w 11, 00 10}
L ={w{a,b}*| w aabb}
15 , 30, 3.1:
L3={w{a,b}*| w aabb}
L4={w{a,b}*| w a}
L5={w{a,b}*| w a b}
-
. 2 :
L1={w{0,1}*| w 01}
L2={w{0,1}*| w 01}
L ={w{0,1}*| w 01}
16 , 30, 3.1:
L3={w{0,1}*| w 01}
L4={w{0,1}*| w 01}
L5={w{0,1}*| w 01}
L6={w{0,1}*| w 01}
-
. 3 {0,1} :
1. L = 0*1(0*10*1)*0*
2. L = 1* + 1*01* + 1*01*01*
17 , 30, 3.1:
2. L = 1* + 1*01* + 1*01*01*
3. L = (0 + 1)* 11 + (0 + 1)* 10 + (0 + 1)* 01 + 0 + 1 +
4. L = 1(0 + 1)* + 0(0 + 1)*
5. L = 1*(01*01*01*)*
-
. 41. = {a,b}
ab ba.
2. b*a(b*ab*a)*b*.
3. = {a,b} L={aibi |0 i3}
18 , 30, 3.1:
3. = {a,b} L={a b |0 i3}4. = {0,1} L = {(00111)n | n 0} n
;
5. = {a,b} ={(a+b)i |i>2}
