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- <meta name="description" content="applications of lambdadelta version 2" />
- <title>applications of lambdadelta version 2</title>
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- <div xmlns:ld="http://lambdadelta.info/" class="head2">Contents of the Specification</div>
- <div xmlns:ld="http://lambdadelta.info/" class="text">This specification comprises a collection of checked
+ <div xmlns:ld="http://lambdadelta.info/" class="spacer">
+ <br />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">
+ <table cellpadding="4" cellspacing="0">
+ <tbody>
+ <tr>
+ <td class="snns capitalize italic sky">
+ <a href="http://lambdadelta.info/index.html">home</a>
+ </td>
+ <td class="snns capitalize italic magenta">
+ <a href="http://lambdadelta.info/news.html">news</a>
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+ <td class="snns capitalize italic orange">
+ <a href="http://lambdadelta.info/documentation.html">documentation</a>
+ </td>
+ <td class="snns capitalize italic green">
+ <a href="http://lambdadelta.info/specification.html">specification</a>
+ </td>
+ <td class="snnn capitalize italic green">
+ <br />
+ </td>
+ <td class="snnn capitalize italic green">
+ <br />
+ </td>
+ <td class="snns capitalize italic green">
+ <a href="http://lambdadelta.info/implementation.html">implementation</a>
+ </td>
+ <td class="ssnn capitalize italic green">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns capitalize sky">
+ <a href="http://lambdadelta.info/index.html#foreword">foreword</a>
+ </td>
+ <td class="snns capitalize magenta">
+ <a href="http://lambdadelta.info/news.html#milestones">milestones</a>
+ </td>
+ <td class="snns capitalize orange">
+ <a href="http://lambdadelta.info/documentation.html#v2">version 2</a>
+ </td>
+ <td class="snns capitalize green">
+ <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
+ </td>
+ <td class="snnn capitalize green">(<a href="http://lambdadelta.info/ground_2.html">background</a> - <a href="http://lambdadelta.info/basic_2.html">core</a> - <a href="http://lambdadelta.info/apps_2.html">applications</a>)</td>
+ <td class="snnn capitalize green">
+ <br />
+ </td>
+ <td class="snns capitalize green">
+ <a href="http://lambdadelta.info/implementation.html#lddl">library</a>
+ </td>
+ <td class="ssnn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
+ </tr>
+ <tr>
+ <td class="snss capitalize sky">
+ <a href="http://lambdadelta.info/index.html#citations">citations</a>
+ </td>
+ <td class="snss capitalize magenta">
+ <a href="http://lambdadelta.info/news.html#visibility">visibility</a>
+ </td>
+ <td class="snss capitalize orange">
+ <a href="http://lambdadelta.info/documentation.html#v1">version 1</a>
+ </td>
+ <td class="snss capitalize green">
+ <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
+ </td>
+ <td class="snsn capitalize green">(<a href="http://lambdadelta.info/ground_1.html">background</a> - <a href="http://lambdadelta.info/basic_1.html">core</a>)</td>
+ <td class="snsn capitalize green">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</a>)</td>
+ <td class="snss capitalize green">
+ <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
+ </td>
+ <td class="sssn capitalize green">
+ <br />
+ </td>
+ </tr>
+ </tbody>
+ </table>
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="contents">Contents of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">This specification comprises a collection of checked
applications of λδ version 2.
In particular it contains the components below.
</div>
- <ul xmlns:ld="http://lambdadelta.info/">
+ <ul xmlns:ld="http://lambdadelta.info/" id="MLTT1">
<li>
- <span class="date">MLTT1.</span>
- Martin-Löf's Type Theory with one universe
- using λδ as theory of expressions.
+ <span class="emph alpha">MLTT1.</span>
+ Martin-Löf's Type Theory with one universe
+ using λδ as theory of expressions.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+ <ul xmlns:ld="http://lambdadelta.info/" id="functional">
<li>
- <span class="date">Functional.</span>
- The validation algorithm for λδ as implemented in
-
<a href="http://lambdadelta.info/implementation.html#helena">Helena 0.8</a>.
+ <span class="emph alpha">Functional.</span>
+ The validation algorithm for λδ as implemented in
+ <a href="http://lambdadelta.info/implementation.html#helena">Helena 0.8</a>.
</li>
</ul>
-
- <div xmlns:ld="http://lambdadelta.info/" class="head2">Summary of the Specification</div>
- <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
+ <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical account of the specification's contents
and its timeline.
</div>
- <div xmlns:ld="http://lambdadelta.info/" class="text">
+
<div xmlns:ld="http://lambdadelta.info/" class="text">
<table cellpadding="4" cellspacing="0">
<tbody>
<tr>
- <td class="snns component grey">category</td>
- <td class="snns plane grey">objects</td>
- <td class="snnn number grey">
+ <td class="snns capitalize italic gray">category</td>
+ <td class="snns italic gray">objects</td>
+ <td class="snnn right italic gray">
<br />
</td>
- <td class="snnn plane grey">
+ <td class="snnn italic gray">
<br />
</td>
- <td class="snnn number grey">
+ <td class="snnn right italic gray">
<br />
</td>
- <td class="snnn plane grey">
+ <td class="snnn italic gray">
<br />
</td>
- <td class="ssnn number grey">
+ <td class="ssnn right italic gray">
<br />
</td>
</tr>
<tr>
- <td class="snns component cyan">sizes</td>
- <td class="snns plane cyan">files</td>
- <td class="snnn number cyan">5 </td>
- <td class="snns plane cyan">characters</td>
- <td class="snnn number cyan">5790</td>
- <td class="snns plane cyan">nodes</td>
- <td class="ssnn number cyan">9846</td>
+ <td class="snns capitalize italic cyan">sizes</td>
+ <td class="snns italic cyan">files</td>
+ <td class="snnn right italic cyan">14</td>
+ <td class="snns italic cyan">characters</td>
+ <td class="snnn right italic cyan">6787</td>
+ <td class="snns italic cyan">nodes</td>
+ <td class="ssnn right italic cyan">10070</td>
</tr>
<tr>
- <td class="snns component green">propositions</td>
- <td class="snns plane green">theorems</td>
- <td class="snnn number green">4</td>
- <td class="snns plane green">lemmas</td>
- <td class="snnn number green">1</td>
- <td class="snns plane green">total</td>
- <td class="ssnn number green">5</td>
+ <td class="snns capitalize italic green">propositions</td>
+ <td class="snns italic green">theorems</td>
+ <td class="snnn right italic green">2</td>
+ <td class="snns italic green">lemmas</td>
+ <td class="snnn right italic green">4</td>
+ <td class="snns italic green">total</td>
+ <td class="ssnn right italic green">6</td>
</tr>
<tr>
- <td class="snss component yellow">concepts</td>
- <td class="snss plane yellow">declared</td>
- <td class="snsn number yellow">3</td>
- <td class="snss plane yellow">defined</td>
- <td class="snsn number yellow">10</td>
- <td class="snss plane yellow">total</td>
- <td class="sssn number yellow">13</td>
+ <td class="snss capitalize italic yellow">concepts</td>
+ <td class="snss italic yellow">declared</td>
+ <td class="snsn right italic yellow">6</td>
+ <td class="snss italic yellow">defined</td>
+ <td class="snsn right italic yellow">11</td>
+ <td class="snss italic yellow">total</td>
+ <td class="sssn right italic yellow">17</td>
</tr>
</tbody>
</table>
</div>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2012 February 24.</span>
+ <span class="emph alpha">2012 February 24.</span>
The Applications directory is started.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2011 December 20.</span>
+ <span class="emph alpha">2011 December 20.</span>
The Functional component is started
inside the specification of λδ version 2.
</li>
</ul>
- <ul xmlns:ld="http://lambdadelta.info/">
+
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">2011 December 12.</span>
+ <span class="emph alpha">2011 December 12.</span>
The MLTT1 component is started.
</li>
</ul>
-
- <div xmlns:ld="http://lambdadelta.info/" class="head2">Logical Structure of the Specification</div>
- <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in planes and components
- according to the following table.
- Each component contains its own notation file.
- The notation for the relations or functions introduced in each file
- is shown in parentheses (? are placeholders).
+ <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[spacer]" title="lambdadelta butterfly" src="http://lambdadelta.info/images/b4.png" />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">This table reports the specification's components and their planes.
</div>
- <div xmlns:ld="http://lambdadelta.info/" class="text">
+
<div xmlns:ld="http://lambdadelta.info/" class="text">
<table cellpadding="4" cellspacing="0">
<tbody>
<tr>
- <td class="snns component grey">component</td>
- <td class="snns plane grey">plane</td>
- <td class="snns file grey">files</td>
- <td class="ssnn file grey">
+ <td class="snns top capitalize italic gray">component</td>
+ <td class="snns top italic gray">plane</td>
+ <td class="snns top gray">files</td>
+ <td class="ssnn top gray">
<br />
</td>
</tr>
<tr>
- <td class="snns component yellow">MLTT1</td>
- <td class="snns plane yellow" />
- <td class="snns file yellow">genv_primitive</td>
- <td class="ssnn file yellow">judgement</td>
+ <td class="snns top capitalize italic red">functional</td>
+ <td class="snns top italic red">reduction and type machine</td>
+ <td class="snns top red">rtm</td>
+ <td class="ssnn top red">rtm_step ( ? ⇨ ? )</td>
</tr>
<tr>
- <td class="snns component orange">functional</td>
- <td class="snns plane orange">reduction and type machine</td>
- <td class="snns file orange">rtm</td>
- <td class="ssnn file orange">rtm_step ( ? ⇨ ? )</td>
- </tr>
- <tr>
- <td class="nnns component orange">
+ <td class="nnss top capitalize italic red">
<br />
</td>
- <td class="snns plane orange">unfold</td>
- <td class="snns file orange">lift ( ↑[?,?] ? )</td>
- <td class="ssnn file orange">subst ( [?←?] ? )</td>
- </tr>
- <tr>
- <td class="snss component red">examples</td>
- <td class="snss plane red" />
- <td class="snss file red" />
- <td class="sssn file red">
+ <td class="snss top italic red">relocation</td>
+ <td class="snss top red">lift ( ↑[?,?] ? )</td>
+ <td class="sssn top red">
<br />
</td>
</tr>
</tbody>
</table>
</div>
-
- <div xmlns:ld="http://lambdadelta.info/" class="head2">Physical Structure of the Specification</div>
- <div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in directories,
- one for each component.
- </div>
- <div class="spacer">
+ <div class="spacer">
<img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
</div>
<div xmlns:ld="http://lambdadelta.info/" class="spacer">
<div xmlns:ld="http://lambdadelta.info/" class="spacer">
<br />
</div>
- <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Thu, 16 May 2013 16:37:26 +0200</div>
-</body>
+ <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Wed, 21 Jan 2015 17:13:08 +0100</div>
+ </body>
</html>
projects / helm.git / blobdiff