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<div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
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mso-ascii-font-family:"Times New Roman";font-size:58%;mso-field-code:meta16'>54</span><span
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<div style='position:absolute;top:5.0%;left:4.11%;width:95.31%;height:5.25%'><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'>Herbrand </span>证法<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'>:<span style="mso-spacerun:
yes"> </span></span>从特殊到一般 </div>
<div style='position:absolute;top:10.75%;left:4.11%;width:95.31%;height:4.75%'> </div>
<div style='position:absolute;top:15.5%;left:4.11%;width:114.23%;height:5.25%'>记<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>
</span><span lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman";mso-fareast-language:ZH-CN'><i>O(S)</i></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>表示<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>S</i></span><span lang=EN-US style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman";mso-fareast-language:
ZH-CN'> </span>中所有对象常元的集<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'>, </span>若<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>S</i></span><span lang=EN-US style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman";mso-fareast-language:
ZH-CN'> </span>中没有对象常元<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'>, </span>令<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>O(S) </i></span></div>
<div style='position:absolute;top:21.0%;left:4.11%;width:112.17%;height:5.25%'>只包含一个常元的<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>(</span>单子<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>)</span>集<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>.<span
style="mso-spacerun: yes"> </span></span> <span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>F(S)</i></span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>表示<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> S </span>中所有函数常元的集<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>,
</span></div>
<div style='position:absolute;top:26.25%;left:4.11%;width:95.31%;height:5.25%'><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>F(S)</i></span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>可为空<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'>. </span></div>
<div style='position:absolute;top:32.0%;left:4.11%;width:95.31%;height:4.75%'> </div>
<div style='position:absolute;top:37.0%;left:4.11%;width:111.61%;height:5.25%'><span
style='font-family:黑体;mso-fareast-font-family:黑体'>定义</span><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'><i>
</i></span><span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'>[</span><span lang=EN-US style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman";mso-fareast-language:ZH-CN'><i>Herbrand
</i></span>域<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'>]</span><span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'><i> </i></span><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'><span
style="mso-spacerun: yes"> </span></span>一个<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>Herbrand </i></span><span style='font-family:
仿宋_GB2312;mso-fareast-font-family:仿宋_GB2312'>域</span><span style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman"'> </span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>H(S</i></span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'>) </span>是一个由<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>O(S),F(S)</i></span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>元 </div>
<div style='position:absolute;top:42.25%;left:4.11%;width:95.31%;height:5.25%'>素形成的基项集<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>. </span></div>
<div style='position:absolute;top:47.5%;left:4.11%;width:111.79%;height:5.25%'>子句集<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>
</span><span lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman";mso-fareast-language:ZH-CN'><i>S </i></span>的一个<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>
</span><span lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman";mso-fareast-language:ZH-CN'><i>Herbrand</i></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span><span style='font-family:仿宋_GB2312;
mso-fareast-font-family:仿宋_GB2312'>基</span>是一个把<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>S</i></span><span lang=EN-US style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman";mso-fareast-language:
ZH-CN'> </span>中变元都由<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'> </span><span lang=EN-US style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman";mso-fareast-language:ZH-CN'><i>Herbrand</i></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>域 </div>
<div style='position:absolute;top:52.75%;left:4.11%;width:95.31%;height:5.25%'>中元素替换的基子句集<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>.
</span></div>
<div style='position:absolute;top:58.5%;left:4.11%;width:95.31%;height:4.75%'> </div>
<div style='position:absolute;top:63.5%;left:4.11%;width:107.49%;height:5.25%'><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>H({{P(B)},{Q(f(x),g(y))}})={B,f(B),g(B),f(f(B)),f(g(B)),g(f(B)),
… } </i></span></div>
<div style='position:absolute;top:68.5%;left:4.11%;width:95.31%;height:5.75%'><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>H({P(x),{</i></span><span lang=EN-US
style='font-family:Symbol;mso-fareast-language:ZH-CN;mso-char-type:symbol'><i>Ø</i></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i> p(y)}})={A} </i></span></div>
<div style='position:absolute;top:74.5%;left:4.11%;width:95.31%;height:4.75%'><span
lang=EN-US style='mso-fareast-language:ZH-CN;display:none'> </span></div>
<div style='position:absolute;top:80.0%;left:4.11%;width:95.31%;height:4.75%'><span
lang=EN-US style='mso-fareast-language:ZH-CN;display:none'> </span></div>
<div style='position:absolute;top:85.25%;left:4.11%;width:95.31%;height:4.75%'><span
style='mso-special-format:lastCR;display:none'> </span></div>
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