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<div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
width:18.91%;height:3.0%'><span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman";font-size:58%;mso-field-code:meta16'>55</span><span
style='font-size:58%;mso-special-format:lastCR;display:none'> </span></div>
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<div style='position:absolute;top:7.25%;left:6.74%;width:110.86%;height:5.25%'><span
style='font-family:黑体;mso-fareast-font-family:黑体'>定义</span><span
style='font-family:宋体;mso-ascii-font-family:宋体'>[</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>解释<span style='font-family:
宋体;mso-ascii-font-family:宋体'>]</span><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><span
style="mso-spacerun: yes"> </span></i></span>一个<span style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman"'>(</span>一阶<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>)</span>解释<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>I</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>是一个对<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<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></div>
<div style='position:absolute;top:12.5%;left:6.74%;width:92.32%;height:5.25%'><span
style='font-family:仿宋_GB2312;mso-fareast-font-family:仿宋_GB2312'>解释</span><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>,<span
style="mso-spacerun: yes"> </span>iff<span style="mso-spacerun:
yes"> </span> </span></div>
<div style='position:absolute;top:18.25%;left:6.74%;width:92.32%;height:4.75%'><span
lang=EN-US style='mso-fareast-language:ZH-CN;display:none'><i> </i></span></div>
<div style='position:absolute;top:23.25%;left:6.74%;width:92.32%;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>1.</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 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>|I|</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<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'><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>的<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<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'>. </span></div>
<div style='position:absolute;top:28.5%;left:6.74%;width:92.32%;height:5.25%'><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'><i>2.<span
style="mso-spacerun: yes"> </span>I</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>映射每个对象常元为自身<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'>. </span></div>
<div style='position:absolute;top:33.75%;left:6.74%;width:109.92%;height:5.25%'><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'><i>3.</i></span><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'><span
style="mso-spacerun: yes"> </span></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>f </i></span>是一个<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'><i> n</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>元函数符号<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>t1,…,tn</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>是项<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'>, </span>则<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>I</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>映射项<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>f(t1,…,tn)</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></div>
<div style='position:absolute;top:39.0%;left:6.74%;width:92.32%;height:5.25%'>为自身<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>. </span></div>
<div style='position:absolute;top:44.5%;left:6.74%;width:92.32%;height:5.25%'><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'><i>4</i></span><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>.
</span>每个基原子被赋值为真或假<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'>. </span></div>
<div style='position:absolute;top:50.25%;left:6.74%;width:92.32%;height:4.75%'> </div>
<div style='position:absolute;top:55.0%;left:6.74%;width:105.05%;height:5.25%'><span
style='font-family:黑体;mso-fareast-font-family:黑体'>定理</span><span
style='font-family:宋体;mso-ascii-font-family:宋体'>[</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>定理<span style='font-family:
宋体;mso-ascii-font-family:宋体'>]</span><span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'><i><span style="mso-spacerun:
yes"> </span></i></span>若一个有限子句集<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>是不可满足的<span style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman"'>, </span>则 </div>
<div style='position:absolute;top:60.5%;left:6.74%;width:92.32%;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>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>的<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>基也是不可满足的<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'>. </span></div>
<div style='position:absolute;top:66.25%;left:6.74%;width:92.32%;height:4.75%'> </div>
<div style='position:absolute;top:71.0%;left:6.74%;width:92.32%;height:5.25%'>证<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>:<span
style="mso-spacerun: yes"> </span></span>由一个<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>基的模型可构造出任一解释<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'>. </span></div>
<div style='position:absolute;top:76.75%;left:6.74%;width:92.32%;height:4.75%'> </div>
<div style='position:absolute;top:81.75%;left:6.74%;width:92.32%;height:5.25%'><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'><span
style="mso-spacerun: yes"> </span> </span></div>
<div style='position:absolute;top:87.5%;left:6.74%;width:92.32%;height:4.75%'><span
style='mso-special-format:lastCR;display:none'> </span></div>
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