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<!DOCTYPE html>
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<title>Spire Language Development Blog</title>
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<meta name="description" content="This post is about adapting descriptions, used to encode dependently typed
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The Gentle Art of …">
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<h1><a href="/">Spire Language Development Blog</a></h1>
<h2>Implementing a language with dependent types!</h2>
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<article>
<header>
<h1 class="entry-title"><a href="/blog/2014/08/04/inductive-recursive-descriptions/">Inductive-Recursive Descriptions</a></h1>
<p class="meta">
<time datetime="2014-08-04T19:52:32-07:00" pubdate data-updated="true">Aug 4<sup>th</sup>, 2014</time>
| <a href="/blog/2014/08/04/inductive-recursive-descriptions/#disqus_thread"
data-disqus-identifier="http://spire-lang.org/blog/2014/08/04/inductive-recursive-descriptions/">Comments</a>
</p>
</header>
<div class="entry-content"><p>This post is about adapting descriptions, used to encode dependently typed
datatypes (including type families) originally in
<a href="http://gallium.inria.fr/~pdagand/papers/levitation.pdf">The Gentle Art of Levitation</a>,
to inductive-recursive types.</p>
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<a rel="full-article" href="/blog/2014/08/04/inductive-recursive-descriptions/">Read on →</a>
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<header>
<h1 class="entry-title"><a href="/blog/2014/01/15/modeling-elimination-of-described-types/">Modeling Elimination of Described Types</a></h1>
<p class="meta">
<time datetime="2014-01-15T09:50:12-08:00" pubdate data-updated="true">Jan 15<sup>th</sup>, 2014</time>
| <a href="/blog/2014/01/15/modeling-elimination-of-described-types/#disqus_thread"
data-disqus-identifier="http://spire-lang.org/blog/2014/01/15/modeling-elimination-of-described-types/">Comments</a>
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<div class="entry-content"><p>Before jumping straight into implementing datatypes via descriptions,
it is convient to be able model some of them in Agda (as done in
<a href="http://gallium.inria.fr/~pdagand/papers/levitation.pdf">The Gentle Art of Levitation</a>
by Chapman et. al.
and subsequent papers). Everything in the surface language, such as
datatype declarations and pattern matching, is elaborated to terms of
the core type theory. It is desirable to have the ingredients of the
core type theory be as similar to their higher level counterparts as
possible, otherwise work on the canonical terms (such as embedding
back upwards, generic programming on core terms, and compilation of
core terms) becomes complex.</p>
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<h1 class="entry-title"><a href="/blog/2014/01/05/an-unremarkable-type-checker/">An Unremarkable Type Checker</a></h1>
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<time datetime="2014-01-05T15:03:57-08:00" pubdate data-updated="true">Jan 5<sup>th</sup>, 2014</time>
| <a href="/blog/2014/01/05/an-unremarkable-type-checker/#disqus_thread"
data-disqus-identifier="http://spire-lang.org/blog/2014/01/05/an-unremarkable-type-checker/">Comments</a>
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<div class="entry-content"><p>Since becoming a PhD student at Portland State,
<a href="https://twitter.com/larrytheliquid">I’ve</a> been occasionally
hacking on what is currently a rather
<a href="https://github.com/spire/spire">boring type checker (by the name of Spire)</a>, but what I hope
to become a dependently typed language for experimenting with generic
programming. Development has been slow and sporadic, so for the new
year I’m going to try out this daily development blog.</p>
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<a href="/blog/2014/08/04/inductive-recursive-descriptions/">Inductive-Recursive Descriptions</a>
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<a href="/blog/2014/01/15/modeling-elimination-of-described-types/">Modeling Elimination of Described Types</a>
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<a href="/blog/2014/01/05/an-unremarkable-type-checker/">An Unremarkable Type Checker</a>
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