3.2
鏄潪鍒ゆ柇锛屽涓嬮潰鐨勯檲杩帮紝姝ｇ‘鐨勫湪闄堣堪鍚庣殑鎷彿鍐呭啓
T
锛屽惁鍒欏啓
F
銆?/p>
(1)
鏈夌┓鑷姩鏈烘帴鍙楃殑璇█鏄鍒欒瑷�銆?/p>
锛堬級
(2)
鑻?/p>
r
1
鍜?/p>
r
2
鏄ｄ笂鐨勬瑙勫紡锛屽垯
r
1
|r
2
涔熸槸銆?/p>
锛堬級
(3)
璁?/p>
M
鏄竴涓?/p>
NFA
锛屽苟涓?/p>
L(M)
锛?/p>
{x,y,z}
锛屽垯
M
鐨勭姸鎬佹暟鑷冲皯涓?/p>
4
涓�?/p>
锛堬級
(4)
浠?/p>
危锛?/p>
{a,b}
锛屽垯
危
涓婃墍鏈変互
b
涓洪鐨勫瓧鏋勬垚鐨勬瑙勯泦鐨勬瑙勫紡涓?/p>
b
*
(a|b)
*
銆?/p>
锛堬級
(5)
瀵逛换浣曚竴涓?/p>
NFA M
锛岄兘瀛樺湪涓�涓?/p>
DFA M'
锛屼娇寰?/p>
L(M')=L(M)
銆?/p>
锛堬級
(6)
瀵逛竴涓彸绾挎�ф枃娉?/p>
G
锛屽繀瀛樺湪涓�涓乏绾挎�ф枃娉?/p>
G'
锛屼娇寰?/p>
L(G)=L(G')
锛屽弽涔嬩害鐒躲�?/p>
锛堬級
绛旀
(1) T
(2) T
(3) F
(4) F
(5) T
(6) T
3.3
鎻忚堪涓嬪垪鍚勬瑙勮〃杈惧紡鎵�琛ㄧず鐨勮瑷�銆?/p>
(1)
0(0|1)
*
0
(2)
((蔚|0)1
*
)
*
(3)
(0|1)
*
0(0|1)(0|1)
(4)
0
*
10
*
10
*
10
*
(5)
(00|11)
*
((01|10)(00|11)
*
(01|10)(00|11)
*
)
*
绛旀
(1)
浠?/p>
0
寮�澶村苟涓斾互
0
缁撳熬鐨勶紝鐢?/p>
0
鍜?/p>
1
缁勬垚鐨勭鍙蜂覆銆?/p>
(2)
{伪|伪
鈭?/p>
{0,1}
*
}
(3)
鐢?/p>
0
鍜?/p>
1
缁勬垚鐨勭鍙蜂覆锛屼笖浠庡彸杈瑰紑濮嬫暟绗?/p>
3
浣嶄负
0
銆?/p>
(4)
鍚?/p>
3
涓?/p>
1
鐨勭敱
0
鍜?/p>
1
缁勬垚鐨勭鍙蜂覆銆?/p>
{伪|伪
鈭?/p>
{0,1}+
锛屼笖
伪
涓惈鏈?/p>
3
涓?/p>
1 }
(5)
{伪|伪
鈭?/p>
{0,1}
*
,伪
涓?/p>
0
鍜?/p>
1
涓哄伓鏁?/p>
}
3.4
瀵逛簬涓嬪垪璇█鍒嗗埆鍐欏嚭瀹冧滑鐨勬瑙勮〃杈惧紡銆?/p>
(1)
鑻辨枃瀛楁瘝缁勬垚鐨勬墍鏈夌鍙蜂覆锛岃姹傜鍙蜂覆涓『搴忓寘鍚簲涓厓闊炽�?/p>
(2)
鑻辨枃瀛楁瘝缁勬垚鐨勬墍鏈夌鍙蜂覆锛岃姹傜鍙蜂覆涓殑瀛楁瘝渚濈収璇嶅吀椤哄簭鎺掑垪銆?/p>
(3)
危={0,1}涓婄殑鍚伓鏁颁釜
1
鐨勬墍鏈変覆銆?/p>
(4)
危={0,1}涓婄殑鍚鏁颁釜
1
鐨勬墍鏈変覆銆?/p>
(5)
鍏锋湁鍋舵暟涓?/p>
0
鍜屽鏁颁釜
1
鐨勬湁
0
鍜?/p>
1
缁勬垚鐨勭鍙蜂覆鐨勫叏浣撱�?/p>
(6)
涓嶅寘鍚瓙涓?/p>
011
鐨勭敱
0
鍜?/p>
1
缁勬垚鐨勭鍙蜂覆鐨勫叏浣撱�?/p>
(7)
鐢?/p>
0
鍜?/p>
1
缁勬垚鐨勭鍙蜂覆
,
鎶婂畠鐪嬫垚浜岃繘鍒舵暟锛岃兘琚?/p>
3
鏁撮櫎鐨勭鍙蜂覆鐨勫叏浣撱�?/p>
绛旀
(1)
浠?/p>
Letter
琛ㄧず闄よ繖浜斾釜鍏冮煶澶栫殑鍏跺畠瀛楁瘝銆?/p>
((letter)
*
A(letter)
*
E(letter)
*
I(letter)
*
O(letter)
*
U(letter))
*
(2) A
*
B
*
....Z
*
(3) (0|10
*
1)
*
(4) (0|10
*
1)
*
1