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+ <title>\lambda\delta home page</title>
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- <body lang="en-US"><div class="spacer"><a href="http://lambdadelta.info/"><img class="icon32" alt="[lambdadelta home]" title="lambdadelta home" src="http://lambdadelta.info/images/crux_32.png"/></a></div><div class="head1">cic:/matita/lambdadelta/apps_2/ (applications of λδ version 2)</div><div class="spacer"><img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png"/></div>
- <div class="head2">Contents of the Specification</div>
- <div class="text">This specification comprises a collection of checked
+ <body lang="en-US">
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+ <a href="http://lambdadelta.info/">
+ <img class="icon32" alt="[lambdadelta home]" title="lambdadelta home" src="http://lambdadelta.info/images/crux_32.png" />
+ </a>
+ </div>
+ <div class="head1">cic:/matita/lambdadelta/apps_2/ (applications of λδ version 2)</div>
+ <div class="spacer">
+ <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
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+ </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>
+ </td>
+ <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="ssns capitalize italic green">
+ <a href="http://lambdadelta.info/implementation.html">implementation</a>
+ </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="ssns capitalize green">
+ <a href="http://lambdadelta.info/implementation.html#lddl">library</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">
+ <br />
+ </td>
+ <td class="ssss capitalize green">
+ <a href="http://lambdadelta.info/implementation.html#helena">helena</a>
+ </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.
+ In particular it contains the components below.
</div>
- <ul><li><span class="date">MLTT1.</span>
- Martin-Löf's Type Theory with one universe
- using λδ as theory of expressions.
- </li></ul>
- <ul><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>.
- </li></ul>
-
- <div class="head2">Summary of the Specification</div>
- <div class="text">Here is a numerical acount of the specification's contents
+ <ul xmlns:ld="http://lambdadelta.info/" id="MLTT1">
+ <li>
+ <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/" id="functional">
+ <li>
+ <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="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 acount of the specification's contents
and its timeline.
</div>
- <div 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"><br/></td><td class="snnn plane grey"><br/></td><td class="snnn number grey"><br/></td><td class="snnn plane grey"><br/></td><td class="ssnn number grey"><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">5613</td><td class="snns plane cyan">nodes</td><td class="ssnn number cyan">9842</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></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></tr></tbody></table></div>
- <ul><li><span class="date">2012 February 24.</span>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">
+ <table cellpadding="4" cellspacing="0">
+ <tbody>
+ <tr>
+ <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 italic gray">
+ <br />
+ </td>
+ <td class="snnn right italic gray">
+ <br />
+ </td>
+ <td class="snnn italic gray">
+ <br />
+ </td>
+ <td class="ssnn right italic gray">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns capitalize italic cyan">sizes</td>
+ <td class="snns italic cyan">files</td>
+ <td class="snnn right italic cyan">4</td>
+ <td class="snns italic cyan">characters</td>
+ <td class="snnn right italic cyan">68581</td>
+ <td class="snns italic cyan">nodes</td>
+ <td class="ssnn right italic cyan">3637</td>
+ </tr>
+ <tr>
+ <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">1</td>
+ <td class="snns italic green">total</td>
+ <td class="ssnn right italic green">3</td>
+ </tr>
+ <tr>
+ <td class="snss capitalize italic yellow">concepts</td>
+ <td class="snss italic yellow">declared</td>
+ <td class="snsn right italic yellow">3</td>
+ <td class="snss italic yellow">defined</td>
+ <td class="snsn right italic yellow">9</td>
+ <td class="snss italic yellow">total</td>
+ <td class="sssn right italic yellow">12</td>
+ </tr>
+ </tbody>
+ </table>
+ </div>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph alpha">2012 February 24.</span>
The Applications directory is started.
- </li></ul>
- <ul><li><span class="date">2011 December 20.</span>
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph alpha">2011 December 20.</span>
The Functional component is started
- inside the specification of λδ version 2.
- </li></ul>
- <ul><li><span class="date">2011 December 12.</span>
+ inside the specification of λδ version 2.
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph alpha">2011 December 12.</span>
The MLTT1 component is started.
- </li></ul>
+ </li>
+ </ul>
- <div class="head2">Logical Structure of the Specification</div>
- <div 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 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"><br/></td></tr><tr><td class="snns component orange">MLTT1</td><td class="snns plane orange"/><td class="snns file orange">genv_primitive</td><td class="ssnn file orange">judgement</td></tr><tr><td class="snns component red">functional</td><td class="snns plane red">reduction and type machine</td><td class="snns file red">rtm</td><td class="ssnn file red">rtm_step ( ? ⇨ ? )</td></tr><tr><td class="nnss component red"><br/></td><td class="snss plane red">unfold</td><td class="snss file red">lift ( ↑[?,?] ? )</td><td class="sssn file red">subst ( [?←?] ? )</td></tr></tbody></table></div>
+ <div xmlns:ld="http://lambdadelta.info/" class="text">
+ <table cellpadding="4" cellspacing="0">
+ <tbody>
+ <tr>
+ <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 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="nnss top capitalize italic red">
+ <br />
+ </td>
+ <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 class="head2">Physical Structure of the Specification</div>
- <div class="text">The source files are grouped in directories,
- one for each component.
- </div>
- <div class="spacer"><img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png"/></div><div class="spacer"><br/></div><div class="spacer"><a href="http://validator.w3.org/check?uri=referer"><img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue"/></a><a href="http://jigsaw.w3.org/css-validator/check/referer"><img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue"/></a><a href="http://www.w3.org/XML/"><img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambdadelta.info/images/xml_xsl2.png"/></a><a href="http://www.w3.org/Graphics/PNG/"><img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png"/></a><a href="http://www.anybrowser.org/campaign/"><img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png"/></a></div><div class="spacer"><br/></div><div class="spacer">Last update: 2013-03-09T23:27:52+01:00</div>
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+ <img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambdadelta.info/images/PNGnow2.png" />
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+ <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Tue, 28 Oct 2014 17:45:56 +0100</div>
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projects / helm.git / blobdiff