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-<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/ground_2/ (background for 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="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
+<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/ground_2/ (background for 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="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">93</td><td class="snns italic cyan">characters</td><td class="snnn right italic cyan">135543</td><td class="snns italic cyan">nodes</td><td class="ssnn right italic cyan">314125</td></tr><tr><td class="snns capitalize italic green">propositions</td><td class="snns italic green">theorems</td><td class="snnn right italic green">38</td><td class="snns italic green">lemmas</td><td class="snnn right italic green">647</td><td class="snns italic green">total</td><td class="ssnn right italic green">685</td></tr><tr><td class="snss capitalize italic yellow">concepts</td><td class="snss italic yellow">declared</td><td class="snsn right italic yellow">63</td><td class="snss italic yellow">defined</td><td class="snsn right italic yellow">67</td><td class="snss italic yellow">total</td><td class="sssn right italic yellow">130</td></tr></tbody></table></div><ul><li><span class="emph alpha">2016 April 18.</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">units</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 water">sizes</td>
+ <td class="snns italic water">characters (files)</td>
+ <td class="snnn right italic water">145725 (104)</td>
+ <td class="snns italic water">nodes (objects)</td>
+ <td class="snnn right italic water">337452 (911)</td>
+ <td class="snns italic water">intrinsic loss factor</td>
+ <td class="ssnn right italic water">2.3</td>
+ </tr>
+ <tr>
+ <td class="snns capitalize italic green">propositions</td>
+ <td class="snns italic green">theorems</td>
+ <td class="snnn right italic green">42</td>
+ <td class="snns italic green">lemmas</td>
+ <td class="snnn right italic green">693</td>
+ <td class="snns italic green">total</td>
+ <td class="ssnn right italic green">735</td>
+ </tr>
+ <tr>
+ <td class="snss capitalize italic grass">concepts</td>
+ <td class="snss italic grass">declared</td>
+ <td class="snsn right italic grass">66</td>
+ <td class="snss italic grass">defined</td>
+ <td class="snsn right italic grass">73</td>
+ <td class="snss italic grass">total</td>
+ <td class="sssn right italic grass">139</td>
+ </tr>
+ </tbody>
+ </table>
+ </div>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph alpha">2016 April 18.</span>
Generic rt-transition counter (rtc).
- </li></ul><ul><li><span class="emph alpha">2016 March 4.</span>
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph alpha">2016 March 4.</span>
Platform-independent multiple relocation (rtmap).
- </li></ul><ul><li><span class="emph alpha">2016 January 20.</span>
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph alpha">2016 January 20.</span>
Multiple relocation with streams of naturals.
- </li></ul><ul><li><span class="emph alpha">2015 October 11.</span>
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph alpha">2015 October 11.</span>
Multiple relocation with lists of booleans.
- </li></ul><ul><li><span class="emph alpha">2013 November 27.</span>
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph alpha">2013 November 27.</span>
Natural numbers with infinity (ynat).
- </li></ul><ul><li><span class="emph alpha">2011 August 10.</span>
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="emph alpha">2011 August 10.</span>
Specification starts.
- </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="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="snnn top gray"><br/></td><td class="ssnn top gray"><br/></td></tr><tr><td class="snns top capitalize italic water">generic rt-transition counter</td><td class="snns top italic water"/><td class="snns top water">rtc ( 〈?,?,?,?〉 ) ( 𝟘𝟘 ) ( 𝟙𝟘 ) ( 𝟘𝟙 )</td><td class="snnn top water">rtc_isrc ( 𝐑𝐓⦃?, ?⦄ )</td><td class="snnn top water">rtc_shift ( ↓? )</td><td class="snnn top water">rtc_max ( ? ∨ ? )</td><td class="snnn top water">rtc_plus ( ? + ? )</td><td class="snnn top water"><br/></td><td class="snnn top water"><br/></td><td class="snnn top water"><br/></td><td class="snnn top water"><br/></td><td class="snnn top water"><br/></td><td class="snnn top water"><br/></td><td class="snnn top water"><br/></td><td class="snnn top water"><br/></td><td class="snnn top water"><br/></td><td class="snnn top water"><br/></td><td class="snnn top water"><br/></td><td class="snnn top water"><br/></td><td class="ssnn top water"><br/></td></tr><tr><td class="snns top capitalize italic green">multiple relocation</td><td class="snns top italic green"/><td class="snns top green">rtmap</td><td class="snnn top green">rtmap_eq ( ? ≗ ? )</td><td class="snnn top green">rtmap_pushs ( ↑*[?]? )</td><td class="snnn top green">rtmap_tl ( ⫱? )</td><td class="snnn top green">rtmap_tls ( ⫱*[?]? )</td><td class="snnn top green">rtmap_isid ( 𝐈⦃?⦄ )</td><td class="snnn top green">rtmap_id</td><td class="snnn top green">rtmap_fcla ( 𝐂⦃?⦄ ≡ ? )</td><td class="snnn top green">rtmap_isfin ( 𝐅⦃?⦄ )</td><td class="snnn top green">rtmap_isuni ( 𝐔⦃?⦄ )</td><td class="snnn top green">rtmap_uni ( 𝐔❴?❵ )</td><td class="snnn top green">rtmap_sle ( ? ⊆ ? )</td><td class="snnn top green">rtmap_sand ( ? ⋒ ? ≡ ? )</td><td class="snnn top green">rtmap_sor ( ? ⋓ ? ≡ ? )</td><td class="snnn top green">rtmap_at ( @⦃?,?⦄ ≡ ? )</td><td class="snnn top green">rtmap_istot ( 𝐓⦃?⦄ )</td><td class="snnn top green">rtmap_after ( ? ⊚ ? ≡ ? )</td><td class="ssnn top green">rtmap_coafter ( ? ~⊚ ? ≡ ? )</td></tr><tr><td class="nnns top capitalize italic green"><br/></td><td class="nnns top italic green"><br/></td><td class="snns top green">nstream ( ↑? ) ( ⫯? )</td><td class="snnn top green">nstream_eq</td><td class="snnn top green"/><td class="snnn top green"/><td class="snnn top green"/><td class="snnn top green">nstream_isid</td><td class="snnn top green">nstream_id ( 𝐈𝐝 )</td><td class="snnn top green"/><td class="snnn top green"/><td class="snnn top green"/><td class="snnn top green"/><td class="snnn top green"/><td class="snnn top green">nstream_sand</td><td class="snnn top green"/><td class="snnn top green"/><td class="snnn top green">nstream_istot ( ?@❴?❵ )</td><td class="snnn top green">nstream_after ( ? ∘ ? )</td><td class="ssnn top green">nstream_coafter ( ? ~∘ ? )</td></tr><tr><td class="nnns top capitalize italic green"><br/></td><td class="nnns top italic green"><br/></td><td class="snns top green">mr2</td><td class="snnn top green">mr2_at ( @⦃?,?⦄ ≡ ? )</td><td class="snnn top green">mr2_plus ( ? + ? )</td><td class="snnn top green">mr2_minus ( ? ▭ ? ≡ ? )</td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="snnn top green"><br/></td><td class="ssnn top green"><br/></td></tr><tr><td class="snns top capitalize italic grass">natural numbers with infinity</td><td class="snns top italic grass"/><td class="snns top grass">ynat ( ∞ )</td><td class="snnn top grass">ynat_pred ( ⫰? )</td><td class="snnn top grass">ynat_succ ( ⫯? )</td><td class="snnn top grass">ynat_le ( ? ≤ ? )</td><td class="snnn top grass">ynat_lt ( ? < ? )</td><td class="snnn top grass">ynat_plus ( ? + ? )</td><td class="snnn top grass"><br/></td><td class="snnn top grass"><br/></td><td class="snnn top grass"><br/></td><td class="snnn top grass"><br/></td><td class="snnn top grass"><br/></td><td class="snnn top grass"><br/></td><td class="snnn top grass"><br/></td><td class="snnn top grass"><br/></td><td class="snnn top grass"><br/></td><td class="snnn top grass"><br/></td><td class="snnn top grass"><br/></td><td class="ssnn top grass"><br/></td></tr><tr><td class="snns top capitalize italic yellow">extensions to the library</td><td class="snns top italic yellow"/><td class="snns top yellow">stream ( ? @ ? )</td><td class="snnn top yellow">stream_eq ( ? ≐ ? )</td><td class="snnn top yellow">stream_hdtl ( ↓? )</td><td class="snnn top yellow">stream_tls ( ↓*[?]? )</td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="ssnn top yellow"><br/></td></tr><tr><td class="nnns top capitalize italic yellow"><br/></td><td class="nnns top italic yellow"><br/></td><td class="snns top yellow">list ( ◊ ) ( ? @ ? ) ( |?| )</td><td class="snnn top yellow">list2 ( ◊ ) ( {?,?} @ ? ) ( ? @@ ? ) ( |?| )</td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="ssnn top yellow"><br/></td></tr><tr><td class="nnns top capitalize italic yellow"><br/></td><td class="nnns top italic yellow"><br/></td><td class="snns top yellow">bool ( Ⓕ ) ( Ⓣ )</td><td class="snnn top yellow">arith ( ?^? ) ( ⫯? ) ( ⫰? ) ( ? ∨ ? ) ( ? ∧ ? )</td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="ssnn top yellow"><br/></td></tr><tr><td class="nnns top capitalize italic yellow"><br/></td><td class="nnns top italic yellow"><br/></td><td class="snns top yellow">star</td><td class="snnn top yellow">lstar</td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="snnn top yellow"><br/></td><td class="ssnn top yellow"><br/></td></tr><tr><td class="snns top capitalize italic orange">generated logical decomposables</td><td class="snns top italic orange"/><td class="snns top orange">xoa ( ∃∃ ) ( ∨∨ ) ( ∧∧ )</td><td class="snnn top orange">xoa_props ( ⊥ ) ( ⊤ )</td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="snnn top orange"><br/></td><td class="ssnn top orange"><br/></td></tr><tr><td class="snss top capitalize italic red"/><td class="snss top italic red"/><td class="snss top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></td><td class="snsn top red"><br/></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="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="snnn top gray">
+ <br />
+ </td>
+ <td class="ssnn top gray">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top capitalize italic water">generic rt-transition counter</td>
+ <td class="snns top italic water" />
+ <td class="snns top water">rtc ( 〈?,?,?,?〉 ) ( 𝟘𝟘 ) ( 𝟙𝟘 ) ( 𝟘𝟙 )</td>
+ <td class="snnn top water">rtc_isrc ( 𝐑𝐓⦃?, ?⦄ )</td>
+ <td class="snnn top water">rtc_shift ( ↓? )</td>
+ <td class="snnn top water">rtc_max ( ? ∨ ? )</td>
+ <td class="snnn top water">rtc_plus ( ? + ? )</td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="snnn top water">
+ <br />
+ </td>
+ <td class="ssnn top water">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top capitalize italic green">multiple relocation</td>
+ <td class="snns top italic green" />
+ <td class="snns top green">rtmap</td>
+ <td class="snnn top green">rtmap_eq ( ? ≗ ? )</td>
+ <td class="snnn top green">rtmap_pushs ( ↑*[?]? )</td>
+ <td class="snnn top green">rtmap_nexts ( ⫯*[?]? )</td>
+ <td class="snnn top green">rtmap_tl ( ⫱? )</td>
+ <td class="snnn top green">rtmap_tls ( ⫱*[?]? )</td>
+ <td class="snnn top green">rtmap_isid ( 𝐈⦃?⦄ )</td>
+ <td class="snnn top green">rtmap_id</td>
+ <td class="snnn top green">rtmap_isdiv ( 𝛀⦃?⦄ )</td>
+ <td class="snnn top green">rtmap_fcla ( 𝐂⦃?⦄ ≡ ? )</td>
+ <td class="snnn top green">rtmap_isfin ( 𝐅⦃?⦄ )</td>
+ <td class="snnn top green">rtmap_isuni ( 𝐔⦃?⦄ )</td>
+ <td class="snnn top green">rtmap_uni ( 𝐔❴?❵ )</td>
+ <td class="snnn top green">rtmap_sle ( ? ⊆ ? )</td>
+ <td class="snnn top green">rtmap_sdj ( ? ∥ ? )</td>
+ <td class="snnn top green">rtmap_sand ( ? ⋒ ? ≡ ? )</td>
+ <td class="snnn top green">rtmap_sor ( ? ⋓ ? ≡ ? )</td>
+ <td class="snnn top green">rtmap_at ( @⦃?,?⦄ ≡ ? )</td>
+ <td class="snnn top green">rtmap_istot ( 𝐓⦃?⦄ )</td>
+ <td class="snnn top green">rtmap_after ( ? ⊚ ? ≡ ? )</td>
+ <td class="ssnn top green">rtmap_coafter ( ? ~⊚ ? ≡ ? )</td>
+ </tr>
+ <tr>
+ <td class="nnns top capitalize italic green">
+ <br />
+ </td>
+ <td class="nnns top italic green">
+ <br />
+ </td>
+ <td class="snns top green">nstream ( ↑? ) ( ⫯? )</td>
+ <td class="snnn top green">nstream_eq</td>
+ <td class="snnn top green" />
+ <td class="snnn top green" />
+ <td class="snnn top green" />
+ <td class="snnn top green" />
+ <td class="snnn top green">nstream_isid</td>
+ <td class="snnn top green">nstream_id ( 𝐈𝐝 )</td>
+ <td class="snnn top green" />
+ <td class="snnn top green" />
+ <td class="snnn top green" />
+ <td class="snnn top green" />
+ <td class="snnn top green" />
+ <td class="snnn top green" />
+ <td class="snnn top green" />
+ <td class="snnn top green" />
+ <td class="snnn top green">nstream_sor</td>
+ <td class="snnn top green" />
+ <td class="snnn top green">nstream_istot ( ?@❴?❵ )</td>
+ <td class="snnn top green">nstream_after ( ? ∘ ? )</td>
+ <td class="ssnn top green">nstream_coafter ( ? ~∘ ? )</td>
+ </tr>
+ <tr>
+ <td class="nnns top capitalize italic green">
+ <br />
+ </td>
+ <td class="nnns top italic green">
+ <br />
+ </td>
+ <td class="snns top green">mr2</td>
+ <td class="snnn top green">mr2_at ( @⦃?,?⦄ ≡ ? )</td>
+ <td class="snnn top green">mr2_plus ( ? + ? )</td>
+ <td class="snnn top green">mr2_minus ( ? ▭ ? ≡ ? )</td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="snnn top green">
+ <br />
+ </td>
+ <td class="ssnn top green">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top capitalize italic grass">natural numbers with infinity</td>
+ <td class="snns top italic grass" />
+ <td class="snns top grass">ynat ( ∞ )</td>
+ <td class="snnn top grass">ynat_pred ( ⫰? )</td>
+ <td class="snnn top grass">ynat_succ ( ⫯? )</td>
+ <td class="snnn top grass">ynat_le ( ? ≤ ? )</td>
+ <td class="snnn top grass">ynat_lt ( ? < ? )</td>
+ <td class="snnn top grass">ynat_plus ( ? + ? )</td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="snnn top grass">
+ <br />
+ </td>
+ <td class="ssnn top grass">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top capitalize italic yellow">extensions to the library</td>
+ <td class="snns top italic yellow" />
+ <td class="snns top yellow">stream ( ? @ ? )</td>
+ <td class="snnn top yellow">stream_eq ( ? ≐ ? )</td>
+ <td class="snnn top yellow">stream_hdtl ( ↓? )</td>
+ <td class="snnn top yellow">stream_tls ( ↓*[?]? )</td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="ssnn top yellow">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="nnns top capitalize italic yellow">
+ <br />
+ </td>
+ <td class="nnns top italic yellow">
+ <br />
+ </td>
+ <td class="snns top yellow">list ( ◊ ) ( ? @ ? ) ( |?| )</td>
+ <td class="snnn top yellow">list2 ( ◊ ) ( {?,?} @ ? ) ( ? @@ ? ) ( |?| )</td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="ssnn top yellow">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="nnns top capitalize italic yellow">
+ <br />
+ </td>
+ <td class="nnns top italic yellow">
+ <br />
+ </td>
+ <td class="snns top yellow">bool ( Ⓕ ) ( Ⓣ )</td>
+ <td class="snnn top yellow">arith ( ?^? ) ( ⫯? ) ( ⫰? ) ( ? ∨ ? ) ( ? ∧ ? )</td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="ssnn top yellow">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="nnns top capitalize italic yellow">
+ <br />
+ </td>
+ <td class="nnns top italic yellow">
+ <br />
+ </td>
+ <td class="snns top yellow">relations ( ? ⊆ ? )</td>
+ <td class="snnn top yellow">star</td>
+ <td class="snnn top yellow">lstar</td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="snnn top yellow">
+ <br />
+ </td>
+ <td class="ssnn top yellow">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="snns top capitalize italic orange">generated logical decomposables</td>
+ <td class="snns top italic orange" />
+ <td class="snns top orange">xoa ( ∃∃ ) ( ∨∨ ) ( ∧∧ )</td>
+ <td class="snnn top orange">xoa_props ( ⊥ ) ( ⊤ )</td>
+ <td class="snnn top orange">
+ <br />
+ </td>
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projects / helm.git / blobdiff