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    <title>Parametricity on PLUSLE</title>
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    <description>Recent content in Parametricity on PLUSLE</description>
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      <title>Universal Types and Relational Substitutions</title>
      <link>https://plsl.acp.sdu.dk/posts/2026-06-24-universal-types-and-relational-substitutions/</link>
      <pubDate>Thu, 04 Jun 2026 08:00:00 +0100</pubDate>
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      <description>&lt;p&gt;This meeting is a very beginner-friendly refresher on the interplay between&#xA;parametricity and logical relations to prove program equivalence.&#xA;&lt;a href=&#34;https://plsl.acp.sdu.dk/contact/&#34;&gt;Upon request&lt;/a&gt;, the session will be hosted as a hybrid&#xA;event.&lt;/p&gt;&#xA;&lt;p&gt;We will meet again in autumn. Enjoy your summer!&lt;/p&gt;&#xA;&lt;h2 id=&#34;material&#34;&gt;Material&lt;/h2&gt;&#xA;&lt;p&gt;The material to be read &lt;strong&gt;before&lt;/strong&gt; the meeting is chapter 4 from&#xA;&lt;a href=&#34;https://www.cs.uoregon.edu/research/summerschool/summer16/notes/AhmedLR.pdf&#34;&gt;Skorstengaard, L.: An Introduction to Logical Relations,&#xA;https://arxiv.org/abs/1907.11133&lt;/a&gt;.&#xA;Try to solve the exercise at the end of the chapter!&lt;/p&gt;&#xA;&lt;h2 id=&#34;abstract-of-the-entire-tutorial&#34;&gt;Abstract (of the entire tutorial)&lt;/h2&gt;&#xA;&lt;blockquote&gt;&#xA;&lt;p&gt;Logical relations (LR) have been around for many years, and today they are&#xA;used in many formal results. However, it can be difficult to LR beginners to&#xA;find a good place to start to learn. Papers often use highly specialized LRs&#xA;that use the latest advances of the technique which makes it impossible to&#xA;make a proper presentation within the page limit.&lt;/p&gt;</description>
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