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		<updated>2026-05-18T19:40:35Z</updated>
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	<entry>
		<id>http://wiki.apidesign.org/index.php?title=Talk:LibraryWithoutImplicitExportIsPolynomial&amp;diff=5359&amp;oldid=prev</id>
		<title>Apidesign at 18:44, 25 December 2011</title>
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				<updated>2011-12-25T18:44:02Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 18:44, 25 December 2011&lt;/td&gt;
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		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 7:&lt;/td&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Nice observation ;-) Probably I am disappointed by the enthusiasm followed by total failure of P == NP proof published by Vinay Deolalikar and thus I am assuming P != NP.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Nice observation ;-) Probably I am disappointed by the enthusiasm followed by total failure of P == NP proof published by Vinay Deolalikar and thus I am assuming P != NP.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Btw. now, when there is an expert reviewing my proof, I share my only worry: What if, in the process of replacing dependencies by transitive dependencies, the amount of dependencies is increased to &amp;lt;math&amp;gt;2^n&amp;lt;/math&amp;gt;? That would just replace an [[NP-Complete]] problem with polynomial problem of exponential size...&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Btw. now, when there is an expert reviewing my proof, I share my only worry: What if, in the process of replacing dependencies by transitive dependencies, the amount of dependencies is increased to &amp;lt;math&amp;gt;2^n&amp;lt;/math&amp;gt;? That would just replace an [[NP-Complete]] problem with polynomial problem of exponential size..&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;. On the other hand, that is not likely, I guess as the transitive dependencies will contain only one version from multiple incompatible versions&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;--[[User:Apidesign|Apidesign]] 18:39, 25 December 2011 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;--[[User:Apidesign|Apidesign]] 18:39, 25 December 2011 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Apidesign</name></author>	</entry>

	<entry>
		<id>http://wiki.apidesign.org/index.php?title=Talk:LibraryWithoutImplicitExportIsPolynomial&amp;diff=5358&amp;oldid=prev</id>
		<title>Apidesign at 18:43, 25 December 2011</title>
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				<updated>2011-12-25T18:43:01Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 18:43, 25 December 2011&lt;/td&gt;
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		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Nice observation ;-) Probably I am disappointed by the enthusiasm followed by total failure of P == NP proof published by Vinay Deolalikar and thus I am assuming P != NP.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Nice observation ;-) Probably I am disappointed by the enthusiasm followed by total failure of P == NP proof published by Vinay Deolalikar and thus I am assuming P != NP.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Btw. now, when there is an expert reviewing my proof, I share my only worry: What if, in the process of replacing dependencies by transitive dependencies, the amount of dependencies is increased to &amp;lt;math&amp;gt;2^n&amp;lt;/math&amp;gt;? That would just replace an [[NP-Complete]] problem with polynomial problem of exponential size...&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;--[[User:Apidesign|Apidesign]] 18:39, 25 December 2011 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;--[[User:Apidesign|Apidesign]] 18:39, 25 December 2011 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Apidesign</name></author>	</entry>

	<entry>
		<id>http://wiki.apidesign.org/index.php?title=Talk:LibraryWithoutImplicitExportIsPolynomial&amp;diff=5357&amp;oldid=prev</id>
		<title>Apidesign at 18:39, 25 December 2011</title>
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				<updated>2011-12-25T18:39:22Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 18:39, 25 December 2011&lt;/td&gt;
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		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;A polynomial algorithm implies that the problem is not NP-Complete only if you assume that P != NP for which see &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;http://en.&lt;/del&gt;wikipedia&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;.org/wiki/&lt;/del&gt;P_versus_NP_problem.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;A polynomial algorithm implies that the problem is not NP-Complete only if you assume that P != NP for which see &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;wikipedia&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/ins&gt;P_versus_NP_problem&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;|P versus NP]]&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;However, the important point that a known polynomial algorithm is more clearly bounded that a NP-Complete algorithm is fair enough.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;However, the important point that a known polynomial algorithm is more clearly bounded that a &lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;NP-Complete&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;algorithm is fair enough.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;-- A comment from unknown reader&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Nice observation ;-) Probably I am disappointed by the enthusiasm followed by total failure of P == NP proof published by Vinay Deolalikar and thus I am assuming P != NP.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;--[[User:Apidesign|Apidesign]] 18:39, 25 December 2011 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Apidesign</name></author>	</entry>

	<entry>
		<id>http://wiki.apidesign.org/index.php?title=Talk:LibraryWithoutImplicitExportIsPolynomial&amp;diff=5356&amp;oldid=prev</id>
		<title>Glyn: Perhaps P=NP</title>
		<link rel="alternate" type="text/html" href="http://wiki.apidesign.org/index.php?title=Talk:LibraryWithoutImplicitExportIsPolynomial&amp;diff=5356&amp;oldid=prev"/>
				<updated>2011-12-23T08:35:39Z</updated>
		
		<summary type="html">&lt;p&gt;Perhaps P=NP&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;A polynomial algorithm implies that the problem is not NP-Complete only if you assume that P != NP for which see http://en.wikipedia.org/wiki/P_versus_NP_problem.&lt;br /&gt;
&lt;br /&gt;
However, the important point that a known polynomial algorithm is more clearly bounded that a NP-Complete algorithm is fair enough.&lt;/div&gt;</summary>
		<author><name>Glyn</name></author>	</entry>

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