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 <title>Open Problem Garden - Finite entailment of Positive Horn logic - Comments</title>
 <link>http://openproblemgarden.org/op/finite_satisfiability_of_positive_horn_logic_entailment</link>
 <description>Comments for &quot;Finite entailment of Positive Horn logic&quot;</description>
 <language>en</language>
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 <title>Solved.  (re: Finite entailment of Positive Horn logic)</title>
 <link>http://openproblemgarden.org/op/finite_satisfiability_of_positive_horn_logic_entailment#comment-93644</link>
 <description>&lt;p&gt;Solved in LICS 2017 &quot;Herbrand Property, Finite Quasi-Herbrand Models, and a Chandra-Merlin Theorem for Quantified Conjunctive Queries&quot;&lt;/p&gt;
</description>
 <pubDate>Mon, 15 Jun 2020 16:27:19 +0200</pubDate>
 <dc:creator>Anonymous</dc:creator>
 <guid isPermaLink="false">comment 93644 at http://openproblemgarden.org</guid>
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 <title>Finite entailment of Positive Horn logic</title>
 <link>http://openproblemgarden.org/op/finite_satisfiability_of_positive_horn_logic_entailment</link>
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    Author(s):
        &lt;a href=&quot;/category/martin_barnaby&quot;&gt;Martin&lt;/a&gt;&amp;nbsp;&amp;nbsp;
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    Subject:
        &lt;a href=&quot;/category/logic&quot;&gt;Logic&lt;/a&gt; » &lt;a href=&quot;/category/finite_model_theory&quot;&gt;Finite Model Theory&lt;/a&gt;&amp;nbsp;&amp;nbsp;
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        &lt;div class=&quot;envtheorem&quot;&gt;&lt;b&gt;Question&lt;/b&gt;&amp;nbsp;&amp;nbsp; Positive Horn logic (pH) is the fragment of FO involving exactly &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/daf2de7da53fbeafe84535aa54eb026a1b767f3d.png&quot; alt=&quot;$ \exists, \forall, \wedge, = $&quot; /&gt;. Does the fragment &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/1483dab6c9b23872227df3bb1f2a487c3f552f34.png&quot; alt=&quot;$ pH \wedge \neg pH $&quot; /&gt; have the finite model property? &lt;/div&gt;

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 <category domain="http://openproblemgarden.org/category/martin_barnaby">Martin, Barnaby</category>
 <category domain="http://openproblemgarden.org/category/entailment">entailment</category>
 <category domain="http://openproblemgarden.org/category/finite_satisfiability">finite satisfiability</category>
 <category domain="http://openproblemgarden.org/category/horn_logic">horn logic</category>
 <category domain="http://openproblemgarden.org/category/logic">Logic</category>
 <category domain="http://openproblemgarden.org/category/finite_model_theory">Finite Model Theory</category>
 <comments>http://openproblemgarden.org/op/finite_satisfiability_of_positive_horn_logic_entailment#comment</comments>
 <pubDate>Fri, 21 Sep 2012 11:47:59 +0200</pubDate>
 <dc:creator>LucSegoufin</dc:creator>
 <guid isPermaLink="false">37863 at http://openproblemgarden.org</guid>
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