编译原理课后习题答案陈火旺第三版

第二章

P36-6

(1)

L(G1)是0~9组成的数字串

(2)

最左推导:

N?ND?NDD?NDDD?DDDD?0DDD?01DD?012D?0127N?ND?DD?3D?34N?ND?NDD?DDD?5DD?56D?568最右推导:

N?ND?N7?ND7?N27?ND27?N127?D127?0127N?ND?N4?D4?34N?ND?N8?ND8?N68?D68?568

P36-7

G(S)

O?1|3|5|7|9N?2|4|6|8|OD?0|NS?O|AOA?AD|N

P36-8

文法：

E?T|E?T|E?TT?F|T*F|T/F F?(E)|i最左推导:

E?E?T?T?T?F?T?i?T?i?T*F?i?F*F?i?i*F?i?i*iE?T?T*F?F*F?i*F?i*(E)?i*(E?T)?i*(T?T)?i*(F?T)?i*(i?T)?i*(i?F)?i*(i?i)

最右推导:

E?E?T?E?T*F?E?T*i?E?F*i?E?i*i?T?i*i?F?i*i?i?i*iE?T?F*T?F*F?F*(E)?F*(E?T)?F*(E?F)?F*(E?i)?F*(T?i)?F*(F?i)?F*(i?i)?i*(i?i)语法树：/********************************

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EE+TE+TFTFiFiii+i+i*****************/

P36-9

句子iiiei有两个语法树：

SS??iSeSiS??iiSeSiSei??iiSeiiiSei??iiieiiiiei

P36-10

/**************

S?TS|TT?(S)|( )

***************/

P36-11

/*************** L1:

S?ACA?aAb|ab C?cC|?L2:

S?ABA?aA|?

B?bBc|bcL3:

EE+TTT*FFFiiii-i-i2 / 27

EE-TE-TFTFiFiii+i*i

S?ABA?aAb|? B?aBb|?L4:

S?A|BA?0A1|? B?1B0|A***************/

第三章习题参考答案

P64–7

(1)

* 1(01|)101 X Y

0

1 ? ? 1 0 1 X 1 2 3 4 5

1 确定化：

{X} φ {1,2,3} {2,3} {2,3,4} {2,3,5} {2,3,4,Y} 0 φ φ {2,3} {2,3} {2,3,5} {2,3} {2,3,5} 1 {1,2,3} φ {2,3,4} {2,3,4} {2,3,4} Y {2,3,4,Y} {2,3,4,}

0

1 0 0 2 3

0 0 1 1 0 0 1 1 4 5 6 0 1 1 1 最小化：

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