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<div id="Layer1" style="position:absolute; width:711px; height:21px; z-index:1; top: 10px; background-color: #CCCCCC; layer-background-color: #CCCCCC; border: 1px none #000000; left: 26px"><b>|</b><font face="宋体" size="2"><a href="../text1/text1-0.htm">第一章</a></font><b>|</b><font face="宋体" size="2"><a href="../text2/text2-0.htm">第二章</a></font><b>|</b><font face="宋体" size="2"><a href="../text3/text3-0.htm">第三章</a></font><b>|</b><font face="宋体" size="2"><a href="../text4/text4-0.htm">第四章</a></font><b>|</b><font face="宋体" size="2"><a href="../text5/text5-0.htm">第五章</a></font><b>|</b><font face="宋体" size="2"><a href="../text6/text6-0.htm">第六章</a></font><b>|</b><font face="宋体" size="2"><a href="../text7/text7-0.htm">第七章</a></font><b>|</b><font face="宋体" size="2"><a href="../text8/text8-0.htm">第八章</a></font><b>|</b><font face="宋体" size="2"><a href="../text9/text9-0.htm">第九章</a></font><b>|</b><font face="宋体" size="2"><a href="../text10/text10-0.htm">第十章</a></font><b>|</b><font size="2" face="宋体">算法分析<b><font color="#000000">|</font></b>
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<pre align="left"><b><font face="宋体" size="4" color="#000000">
<font color="#FF0000">例1 非负整数的加法</font>
<font color="#FF0000">筹码计数法</font>
<i><font color="#0033CC" face="Arial, Helvetica, sans-serif">加法指令表:
</font></i><i><font face="Arial, Helvetica, sans-serif">1. (q<font size="1">0</font>, 1, 0, R, q<font size="1">1</font>) (意指 Q(q<font size="1">0,</font> 1)= (q<font size="1">1</font>,(0, R))
2. (q<font size="1">1</font>, 0, 1, R, q<font size="1">2</font>)
3. (q<font size="1">1</font>, 1, 1, R, q<font size="1">1</font>)
4. (q<font size="1">2</font>, 0, 0, L, q<font size="1">3</font>)
5. (q<font size="1">2</font>, 1, 1, R, q<font size="1">4</font>)
6. (q<font size="1">3</font>, 0, 0, R, q<font size="1">0</font>)
7. (q<font size="1">3,</font> 1, 1, L, q<font size="1">3</font>)
8. (q<font size="1">4</font>, 1, 1, R, q<font size="1">4</font>)
9. (q<font size="1">4</font>, 0, 0, L, q<font size="1">5</font>)
10. (q<font size="1">5</font>, 1, 0, S, q<font size="1">f</font>)</font></i>
<font color="#FF0000">布局<font color="#000000">(</font></font>Configuration)
一个K带图灵机M的一个布局是一个K单元组<i><font face="Arial, Helvetica, sans-serif">(</font></i><img src="IMAGE/ab.gif" width="13" height="11" align="middle"><i><font face="Arial, Helvetica, sans-serif">1,</font></i><img src="IMAGE/ab.gif" width="13" height="11" align="middle"><i><font face="Arial, Helvetica, sans-serif">2,…,</font></i><img src="IMAGE/ab.gif" width="13" height="11" align="middle"><i><font face="Arial, Helvetica, sans-serif">k),</font></i>
<img src="IMAGE/ab.gif" width="13" height="11" align="middle">i(1≤i≤k)是形如<font color="#FF0000"> xqy</font> 的串,<font color="#FF0000">xy</font> 是M的第i条带上的串(尾端
空白略去),<font color="#FF0000">q</font>是当前的状态,<font color="#FF0033">q</font>右边的符号是第i条带上当前磁头
扫描着的符号。
<font color="#FF0000">布局表示</font> ---- <font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif">D1 <img src="image/text10-n0.gif" width="19" height="13"> D2 (D1 转入 D2 ) </font></i></font>
<font color="#FF0000">停机布局</font>(正常布局) ---- 含有qf的布局
对加法图灵机执行2+1时的一个布局序列如下。
筹码记数法-<font color="#000000">---N 用n个相邻的1表示,1为1 11为2 </font><font color="#FF0066"></font><i><font color="#FF0066">
加数在带左端, 和被加数用若干个0隔开</font></i></font></b></pre>
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<pre><b><font face="宋体" size="4" color="#000000">(q<font size="1">0</font>1110011)<font color="#FF0000"> 1</font><font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (0q<font size="1">1</font>110011)
<font color="#FF0000">3</font><font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (01q<font size="1">1</font>10011)
<font color="#FF0000">3</font><font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (011q<font size="1">1</font>0011)
<font color="#FF0000">2</font><font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (0111q<font size="1">2</font>011)
<font color="#FF0000">4</font><font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (011q<font size="1">3</font>1011)
<font color="#FF0000">7</font><font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (01q<font size="1">3</font>11011)
<font color="#FF0000">7</font><font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (0q<font size="1">3</font>111011)
<font color="#0033CC"><i></i></font><font color="#FF0000">6 </font><font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"><img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (q<font size="1">3</font>0111011)
<font color="#FF0000"> </font><font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (0q<font size="1">0</font>111011)
<font color="#FF0000"> </font><font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (00q<font size="1">1</font>11011)
<font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (001q<font size="1">1</font>1011)
<font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (0011q<font size="1">1</font>011)
<font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (00111q<font size="1">2</font>11)
<font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (001111q<font size="1">4</font>1)
<font size="2"><font color="#FF0033" size="1">(尾部0为输入串后空白)</font></font><font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (0011111q<font size="1">4</font>0)<font size="2"></font>
<font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (001111q<font size="1">5</font>10)
<font color="#0033CC"><i><font face="Arial, Helvetica, sans-serif"> <img src="image/text10-n0.gif" width="19" height="13"></font></i></font> (001111q<font size="1">1</font>0)
</font></b></pre>
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<pre><b><font face="宋体" size="4" color="#000000"><i><font face="Arial, Helvetica, sans-serif"> <font color="#CC0000">1. (q<font size="1">0</font>, 1, 0, R, q<font size="1">1</font>)
2. (q<font size="1">1</font>, 0, 1, R, q<font size="1">2</font>)
3. (q<font size="1">1</font>, 1, 1, R, q<font size="1">1</font>)
4. (q<font size="1">2</font>, 0, 0, L, q<font size="1">3</font>)
5. (q<font size="1">2</font>, 1, 1, R, q<font size="1">4</font>)
6. (q<font size="1">3</font>, 0, 0, R, q<font size="1">0</font>)
7. (q<font size="1">3,</font> 1, 1, L, q<font size="1">3</font>)
8. (q<font size="1">4</font>, 1, 1, R, q<font size="1">4</font>)
9. (q<font size="1">4</font>, 0, 0, L, q<font size="1">5</font>)
10. (q<font size="1">5</font>, 1, 0, S, q<font size="1">f</font>)</font></font></i></font></b></pre>
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