<?xml version="1.0" encoding="UTF-8" ?>
<rss version="2.0">
    <channel>
      <title>Octocurious</title>
      <link>https://octocurious.com</link>
      <description>Last 10 notes on Octocurious</description>
      <generator>Quartz -- quartz.jzhao.xyz</generator>
      <item>
    <title>Fibration (HoTT)</title>
    <link>https://octocurious.com/Fibration-(HoTT)</link>
    <guid>https://octocurious.com/Fibration-(HoTT)</guid>
    <description><![CDATA[ Idea In type theory, a type A is fibrant if it has enough path-filling to support homotopical identity types. ]]></description>
    <pubDate>Wed, 29 Jul 2026 16:52:46 GMT</pubDate>
  </item><item>
    <title>Kan Fibration</title>
    <link>https://octocurious.com/Kan-Fibration</link>
    <guid>https://octocurious.com/Kan-Fibration</guid>
    <description><![CDATA[ Definition A Kan fibration is a map of simplicial sets p:X→Y with the right lifting property against all horn inclusions Λkn​↪Δn for n≥1 and 0≤k≤n. ]]></description>
    <pubDate>Wed, 29 Jul 2026 15:19:20 GMT</pubDate>
  </item><item>
    <title>Fibrancy (HoTT)</title>
    <link>https://octocurious.com/Fibrancy-(HoTT)</link>
    <guid>https://octocurious.com/Fibrancy-(HoTT)</guid>
    <description><![CDATA[ Idea In type theory, a type A is fibrant if it has enough path-filling to support homotopical identity types. ]]></description>
    <pubDate>Wed, 29 Jul 2026 13:48:54 GMT</pubDate>
  </item><item>
    <title>hofmann1997-dependent-types</title>
    <link>https://octocurious.com/hofmann1997-dependent-types</link>
    <guid>https://octocurious.com/hofmann1997-dependent-types</guid>
    <description><![CDATA[ Hofmann, M. (1997). Syntax and Semantics of Dependent Types. ]]></description>
    <pubDate>Tue, 28 Jul 2026 23:32:47 GMT</pubDate>
  </item><item>
    <title>Martin-Löf Type Theory</title>
    <link>https://octocurious.com/Martin-L%C3%B6f-Type-Theory</link>
    <guid>https://octocurious.com/Martin-L%C3%B6f-Type-Theory</guid>
    <description><![CDATA[ Definition Martin-Löf Type Theory (MLTT) is an Intuitionism, predicative dependent type theory introduced by Per Martin-Löf. ]]></description>
    <pubDate>Tue, 28 Jul 2026 23:30:34 GMT</pubDate>
  </item><item>
    <title>Identity Type</title>
    <link>https://octocurious.com/Identity-Type</link>
    <guid>https://octocurious.com/Identity-Type</guid>
    <description><![CDATA[ Idea In type theory, the identity type a=A​b is the type of proofs that two terms a,b:A are equal. ]]></description>
    <pubDate>Tue, 28 Jul 2026 23:30:34 GMT</pubDate>
  </item><item>
    <title>Context (Type Theory)</title>
    <link>https://octocurious.com/Context-(Type-Theory)</link>
    <guid>https://octocurious.com/Context-(Type-Theory)</guid>
    <description><![CDATA[ Definition A context is an ordered list of variable assignments that record the assumed types of free variables. ]]></description>
    <pubDate>Tue, 28 Jul 2026 23:30:34 GMT</pubDate>
  </item><item>
    <title>Lambda-calculus models of programming languages</title>
    <link>https://octocurious.com/Lambda-calculus-models-of-programming-languages</link>
    <guid>https://octocurious.com/Lambda-calculus-models-of-programming-languages</guid>
    <description><![CDATA[ paper Relates Observational equivalence, see A Robust Graph-Based Approach to Observational Equivalence. James Hiram Morris Jr. ]]></description>
    <pubDate>Tue, 28 Jul 2026 22:46:52 GMT</pubDate>
  </item><item>
    <title>GMA25</title>
    <link>https://octocurious.com/GMA25</link>
    <guid>https://octocurious.com/GMA25</guid>
    <description><![CDATA[ By Prof. ]]></description>
    <pubDate>Tue, 28 Jul 2026 22:46:52 GMT</pubDate>
  </item><item>
    <title>Fragility of observational equivalence</title>
    <link>https://octocurious.com/Fragility-of-observational-equivalence</link>
    <guid>https://octocurious.com/Fragility-of-observational-equivalence</guid>
    <description><![CDATA[  The richer a programming language is, the more discriminating power program contexts have and hence the less observational equivalences hold in the language. ]]></description>
    <pubDate>Tue, 28 Jul 2026 22:46:52 GMT</pubDate>
  </item>
    </channel>
  </rss>