<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="es">
	<id>https://www.glc.us.es/~jalonso/LMF2015/index.php?action=history&amp;feed=atom&amp;title=R15</id>
	<title>R15 - Historial de revisiones</title>
	<link rel="self" type="application/atom+xml" href="https://www.glc.us.es/~jalonso/LMF2015/index.php?action=history&amp;feed=atom&amp;title=R15"/>
	<link rel="alternate" type="text/html" href="https://www.glc.us.es/~jalonso/LMF2015/index.php?title=R15&amp;action=history"/>
	<updated>2026-07-18T12:02:34Z</updated>
	<subtitle>Historial de revisiones para esta página en el wiki</subtitle>
	<generator>MediaWiki 1.31.14</generator>
	<entry>
		<id>https://www.glc.us.es/~jalonso/LMF2015/index.php?title=R15&amp;diff=307&amp;oldid=prev</id>
		<title>Mjoseh en 07:59 17 may 2015</title>
		<link rel="alternate" type="text/html" href="https://www.glc.us.es/~jalonso/LMF2015/index.php?title=R15&amp;diff=307&amp;oldid=prev"/>
		<updated>2015-05-17T07:59:18Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;es&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Revisión anterior&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revisión del 07:59 17 may 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l40&quot; &gt;Línea 40:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Línea 40:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Ejercicio 5.&amp;#039;&amp;#039;&amp;#039; Decidir por tableros semánticos, si:&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Ejercicio 5.&amp;#039;&amp;#039;&amp;#039; Decidir por tableros semánticos, si:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;∀x (P(x) → &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;R&lt;/del&gt;(x,&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;x&lt;/del&gt;)) ⊧ ∀x &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;∃y &lt;/del&gt;(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;R&lt;/del&gt;(x&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;,y&lt;/del&gt;) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;∨ ¬P&lt;/del&gt;(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;y&lt;/del&gt;))&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;* ⊧ (∃x P(x)) → P(a)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;* {&lt;/ins&gt;∀x(P(x) → &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Q&lt;/ins&gt;(x&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;))&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;∀y(Q(a) ∨ R(y) → S(a&lt;/ins&gt;))&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;} &lt;/ins&gt;⊧ ∀x (&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;P&lt;/ins&gt;(x) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;→ S&lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;a&lt;/ins&gt;))&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Solución:&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Solución:&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Mjoseh</name></author>
		
	</entry>
	<entry>
		<id>https://www.glc.us.es/~jalonso/LMF2015/index.php?title=R15&amp;diff=305&amp;oldid=prev</id>
		<title>Mjoseh: Protegió «R15» ([edit=sysop] (indefinido) [move=sysop] (indefinido))</title>
		<link rel="alternate" type="text/html" href="https://www.glc.us.es/~jalonso/LMF2015/index.php?title=R15&amp;diff=305&amp;oldid=prev"/>
		<updated>2015-05-15T11:44:45Z</updated>

		<summary type="html">&lt;p&gt;Protegió «&lt;a href=&quot;/~jalonso/LMF2015/index.php/R15&quot; title=&quot;R15&quot;&gt;R15&lt;/a&gt;» ([edit=sysop] (indefinido) [move=sysop] (indefinido))&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;es&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Revisión anterior&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revisión del 11:44 15 may 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;es&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(Sin diferencias)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Mjoseh</name></author>
		
	</entry>
	<entry>
		<id>https://www.glc.us.es/~jalonso/LMF2015/index.php?title=R15&amp;diff=304&amp;oldid=prev</id>
		<title>Mjoseh en 11:44 15 may 2015</title>
		<link rel="alternate" type="text/html" href="https://www.glc.us.es/~jalonso/LMF2015/index.php?title=R15&amp;diff=304&amp;oldid=prev"/>
		<updated>2015-05-15T11:44:34Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;es&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Revisión anterior&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revisión del 11:44 15 may 2015&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Línea 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Línea 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Relación 15: Tableros semánticos en LPO&amp;#160; ===&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== Relación 15: Tableros semánticos en LPO&amp;#160; ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l24&quot; &gt;Línea 24:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Línea 23:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;∀x ∃ y (R(x,y) ∨ ¬ P(y)) ⊧ ∀x (P(x) → R(x,x))&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;∀x ∃ y (R(x,y) ∨ ¬ P(y)) ⊧ ∀x (P(x) → R(x,x))&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l32&quot; &gt;Línea 32:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Línea 30:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Ejercicio 4.&amp;#039;&amp;#039;&amp;#039; Decidir por tableros semánticos, si:&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Ejercicio 4.&amp;#039;&amp;#039;&amp;#039; Decidir por tableros semánticos, si:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;∀x ∀ y (R(x,y) → R(y,x)) ⊧ ∀x ∀y ∀z (R(x,y) ∧ R(x,z) → ∃u (R(y,u) ∧ R(z,u)))&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;∀x ∀ y (R(x,y) → R(y,x)) ⊧ ∀x ∀y ∀z (R(x,y) ∧ R(x,z) → ∃u (R(y,u) ∧ R(z,u)))&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Mjoseh</name></author>
		
	</entry>
	<entry>
		<id>https://www.glc.us.es/~jalonso/LMF2015/index.php?title=R15&amp;diff=301&amp;oldid=prev</id>
		<title>Mjoseh: Página creada con &#039; === Relación 15: Tableros semánticos en LPO  ===  ---- &#039;&#039;&#039;Ejercicio 1.&#039;&#039;&#039; Decidir por tableros semánticos, si:  ∀x (P(x) → Q(x)) ⊧ (∃x P(x)) → (∃ x Q(x))  ----  ...&#039;</title>
		<link rel="alternate" type="text/html" href="https://www.glc.us.es/~jalonso/LMF2015/index.php?title=R15&amp;diff=301&amp;oldid=prev"/>
		<updated>2015-05-15T11:42:46Z</updated>

		<summary type="html">&lt;p&gt;Página creada con &amp;#039; === Relación 15: Tableros semánticos en LPO  ===  ---- &amp;#039;&amp;#039;&amp;#039;Ejercicio 1.&amp;#039;&amp;#039;&amp;#039; Decidir por tableros semánticos, si:  ∀x (P(x) → Q(x)) ⊧ (∃x P(x)) → (∃ x Q(x))  ----  ...&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Página nueva&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
=== Relación 15: Tableros semánticos en LPO  ===&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Ejercicio 1.&amp;#039;&amp;#039;&amp;#039; Decidir por tableros semánticos, si:&lt;br /&gt;
&lt;br /&gt;
∀x (P(x) → Q(x)) ⊧ (∃x P(x)) → (∃ x Q(x))&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Solución:&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Ejercicio 2.&amp;#039;&amp;#039;&amp;#039; Decidir por tableros semánticos, si:&lt;br /&gt;
&lt;br /&gt;
⊧ ∀x (P(x) → R(x,x)) → ∀x ∃ y (R(x,y) ∨ ¬ P(y))&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Solución:&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Ejercicio 3.&amp;#039;&amp;#039;&amp;#039; Decidir por tableros semánticos, si:&lt;br /&gt;
&lt;br /&gt;
∀x ∃ y (R(x,y) ∨ ¬ P(y)) ⊧ ∀x (P(x) → R(x,x))&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Solución:&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Ejercicio 4.&amp;#039;&amp;#039;&amp;#039; Decidir por tableros semánticos, si:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
∀x ∀ y (R(x,y) → R(y,x)) ⊧ ∀x ∀y ∀z (R(x,y) ∧ R(x,z) → ∃u (R(y,u) ∧ R(z,u)))&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Solución:&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Ejercicio 5.&amp;#039;&amp;#039;&amp;#039; Decidir por tableros semánticos, si:&lt;br /&gt;
&lt;br /&gt;
∀x (P(x) → R(x,x)) ⊧ ∀x ∃y (R(x,y) ∨ ¬P(y))&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Solución:&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;</summary>
		<author><name>Mjoseh</name></author>
		
	</entry>
</feed>