<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN" "http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
-<html xmlns="http://www.w3.org/1999/xhtml" xmlns:ld="http://lambdadelta.info/" dir="ltr" lang="en-us"><head><meta http-equiv="Content-Language" content="en-us"/><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"/><meta http-equiv="Content-Style-Type" content="text/css"/><meta name="author" content="Ferruccio Guidi"/><meta name="description" content="\lambda\delta home page"/><title>\lambda\delta home page</title><link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/ld_web.css"/><link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/lddl.css"/><link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/xhtbl.css"/><link rel="shortcut icon" href="http://lambdadelta.info/images/crux_16.ico"/></head><body lang="en-US"><div class="spacer"><a href="http://lambdadelta.info/"><img class="icon32" alt="[\lambda\delta home]" title="\lambda\delta 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="\lambda\delta rainbow rule" src="http://lambdadelta.info/images/rainbow.png"/></div><div class="spacer"><br/></div><div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns capitalize italic sky"><a href="http://lambdadelta.info/home.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 white"><a href="http://lambdadelta.info/specification.html">specification</a></td><td class="snnn capitalize italic white"><br/></td><td class="snnn capitalize italic white"><br/></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/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/home.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 white"><a href="http://lambdadelta.info/specification.html#v2">version 2</a></td><td class="snnn capitalize white">(<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 white"><br/></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/implementation.html#helena">helena</a></td><td class="ssnn capitalize green"><a href="http://lambdadelta.info/osn/">Open Symbolic Notation (OSN)</a></td></tr><tr><td class="snss capitalize sky"><a href="http://lambdadelta.info/home.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 white"><a href="http://lambdadelta.info/specification.html#v1">version 1</a></td><td class="snsn capitalize white">(<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 white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</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/implementation.html#lddl">library</a></td><td class="sssn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td></tr></tbody></table></div><div class="head2dx" id="contents">Contents of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png"/></div><div class="text">This specification comprises a collection of checked
+<html xmlns="http://www.w3.org/1999/xhtml" dir="ltr" lang="en-us">
+ <head>
+ <meta http-equiv="Content-Language" content="en-us" />
+ <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
+ <meta http-equiv="Content-Style-Type" content="text/css" />
+ <meta name="author" content="Ferruccio Guidi" />
+ <meta name="description" content="\lambda\delta home page" />
+ <title>\lambda\delta home page</title>
+ <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/ld_web.css" />
+ <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/lddl.css" />
+ <link rel="stylesheet" type="text/css" href="http://lambdadelta.info/css/xhtbl.css" />
+ <link rel="shortcut icon" href="http://lambdadelta.info/images/crux_16.ico" />
+ </head>
+ <body lang="en-US">
+ <div class="spacer">
+ <a href="http://lambdadelta.info/">
+ <img class="icon32" alt="[\lambda\delta home]" title="\lambda\delta 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="\lambda\delta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
+ </div>
+ <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/home.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 white">
+ <a href="http://lambdadelta.info/specification.html">specification</a>
+ </td>
+ <td class="snnn capitalize italic white">
+ <br />
+ </td>
+ <td class="snnn capitalize italic white">
+ <br />
+ </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/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/home.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 white">
+ <a href="http://lambdadelta.info/specification.html#v2">version 2</a>
+ </td>
+ <td class="snnn capitalize white">(<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 white">
+ <br />
+ </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/implementation.html#helena">helena</a>
+ </td>
+ <td class="ssnn capitalize green">
+ <a href="http://lambdadelta.info/osn/">Open Symbolic Notation (OSN)</a>
+ </td>
+ </tr>
+ <tr>
+ <td class="snss capitalize sky">
+ <a href="http://lambdadelta.info/home.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 white">
+ <a href="http://lambdadelta.info/specification.html#v1">version 1</a>
+ </td>
+ <td class="snsn capitalize white">(<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 white">(<a href="http://lambdadelta.info/static/matita/lambdadelta/">static HELM directory</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/implementation.html#lddl">library</a>
+ </td>
+ <td class="sssn capitalize green">(<a href="http://lambdadelta.info/static/lddl/">static LDDL directory</a>)</td>
+ </tr>
+ </tbody>
+ </table>
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="contents">Contents of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta 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 id="MLTT1"><li><span class="emph alpha">MLTT1.</span>
+ </div>
+ <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 id="functional"><li><span class="emph alpha">Functional.</span>
+ </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><ul id="examples"><li><span class="emph alpha">Examples.</span>
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/" id="examples">
+ <li>
+ <span class="emph alpha">Examples.</span>
Terms of λδ with special features.
- </li></ul><div class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png"/></div><div class="text">Here is a numerical account of the specification's contents
+ </li>
+ </ul>
+ <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="summary">Summary of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta 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 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">1</td><td class="snns italic cyan">characters</td><td class="snnn right italic cyan">377</td><td class="snns italic cyan">nodes</td><td class="ssnn right italic cyan">775</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">0</td><td class="snss italic yellow">defined</td><td class="snsn right italic yellow">3</td><td class="snss italic yellow">total</td><td class="sssn right italic yellow">3</td></tr></tbody></table></div><ul><li><span class="emph alpha">2017 March 6.</span>
+ </div>
+ <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">1</td>
+ <td class="snns italic cyan">characters</td>
+ <td class="snnn right italic cyan">377</td>
+ <td class="snns italic cyan">nodes</td>
+ <td class="ssnn right italic cyan">779</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">0</td>
+ <td class="snss italic yellow">defined</td>
+ <td class="snsn right italic yellow">3</td>
+ <td class="snss italic yellow">total</td>
+ <td class="sssn right italic yellow">3</td>
+ </tr>
+ </tbody>
+ </table>
+ </div>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph alpha">2017 March 6.</span>
The Examples component is moved from the Core directory.
- </li></ul><ul><li><span class="emph alpha">2012 February 24.</span>
+ </li>
+ </ul>
+ <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="emph alpha">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="emph alpha">2011 December 12.</span>
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph alpha">2011 December 12.</span>
The MLTT1 component is started.
- </li></ul><div class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta butterfly" src="http://lambdadelta.info/images/b4.png"/></div><div 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 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 orange">functional</td><td class="snns top italic orange">reduction and type machine</td><td class="snns top orange">rtm</td><td class="ssnn top orange">rtm_step ( ? ⇨ ? )</td></tr><tr><td class="nnns top capitalize italic orange"><br/></td><td class="snns top italic orange">relocation</td><td class="snns top orange">lift ( ↑[?,?] ? )</td><td class="ssnn top orange"><br/></td></tr><tr><td class="snss top capitalize italic red">examples</td><td class="snss top italic red">terms with special features</td><td class="snss top red">ex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta</td><td class="sssn top red"><br/></td></tr></tbody></table></div><div class="spacer"><img class="rule" alt="[Spacer]" title="\lambda\delta 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: Thu, 09 Mar 2017 13:38:17 +0100</div></body></html>
+ </li>
+ </ul>
+ <div xmlns:ld="http://lambdadelta.info/" class="head2dx" id="structure">Logical Structure of the Specification <img class="icon37" alt="[butterfly]" title="\lambda\delta 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">
+ <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 orange">functional</td>
+ <td class="snns top italic orange">reduction and type machine</td>
+ <td class="snns top orange">rtm</td>
+ <td class="ssnn top orange">rtm_step ( ? ⇨ ? )</td>
+ </tr>
+ <tr>
+ <td class="nnns top capitalize italic orange">
+ <br />
+ </td>
+ <td class="snns top italic orange">relocation</td>
+ <td class="snns top orange">lift ( ↑[?,?] ? )</td>
+ <td class="ssnn top orange">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snss top capitalize italic red">examples</td>
+ <td class="snss top italic red">terms with special features</td>
+ <td class="snss top red">ex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta</td>
+ <td class="sssn top red">
+ <br />
+ </td>
+ </tr>
+ </tbody>
+ </table>
+ </div>
+ <div class="spacer">
+ <img class="rule" alt="[Spacer]" title="\lambda\delta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="spacer">
+ <br />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" 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 xmlns:ld="http://lambdadelta.info/" class="spacer">
+ <br />
+ </div>
+ <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sat, 11 Mar 2017 19:30:40 +0100</div>
+ </body>
+</html>
projects / helm.git / blobdiff