]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/www/lambdadelta/basic_2.html
now the "news" page is generated
[helm.git] / helm / www / lambdadelta / basic_2.html
index e79d3468bea28bbf5373ecd887404bead7c5ecc6..b858c6cc31e74b632574d0acef6c6eda7e228ac4 100644 (file)
 <?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">
+<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="lambdadelta version 2"/>
-    <title>lambdadelta version 2</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"/>
+    <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 version 2" />
+    <title>\lambda\delta version 2</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="[lambdadelta home]" title="lambdadelta home" src="http://lambdadelta.info/images/crux_32.png"/></a></div><div class="head1">cic:/matita/lambdadelta/basic_2/ (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">System's Syntax and Behavior</div>
-   <div class="text">This is a summary of the "block structure"
-         of the System's syntactic items and reductions.
-   </div>
-   <div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns text grey">domain</td><td class="snns plane grey">block</td><td class="snns text grey">leader</td><td class="snns text grey">applicator (with →θ)*</td><td class="snns text grey">reduction</td><td class="snns text grey">→ζ *</td><td class="ssns text grey">reference *</td></tr><tr><td class="snns text">{X | Γ ⊢ X : W}</td><td class="snns plane wine">local typed abstraction *</td><td class="snns text wine">Γ ⊢ +λW</td><td class="snns text wine">ⓐV</td><td class="snns text wine">→β</td><td class="snns text wine">no</td><td class="ssns text wine">#i</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane magenta">local typed declaration **</td><td class="snns text magenta">Γ ⊢ -λW</td><td class="snns text magenta">ⓐV</td><td class="snns text magenta">→β</td><td class="snns text magenta">no</td><td class="ssns text magenta">#i</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane prune">global typed declaration ***</td><td class="snns text prune">Γ ⊢ pλW</td><td class="snns text prune">no</td><td class="snns text prune">no</td><td class="snns text prune">no</td><td class="ssns text prune">$p</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane blue">native type annotation *</td><td class="snns text blue">Γ ⊢ ⓝW</td><td class="snns text blue">no</td><td class="snns text blue">no</td><td class="snns text blue">yes</td><td class="ssns text blue">no</td></tr><tr><td class="snns text">{X | Γ ⊢ X = V}</td><td class="snns plane sky">local abbreviation *</td><td class="snns text sky">Γ ⊢ +δV</td><td class="snns text sky">no</td><td class="snns text sky">local →δ</td><td class="snns text sky">yes</td><td class="ssns text sky">#i</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane cyan">local definition **</td><td class="snns text cyan">Γ ⊢ -δV</td><td class="snns text cyan">no</td><td class="snns text cyan">local →δ</td><td class="snns text cyan">no</td><td class="ssns text cyan">#i</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane water">global definition ***</td><td class="snns text water">Γ ⊢ pδV</td><td class="snns text water">no</td><td class="snns text water">global →δ</td><td class="snns text water">no</td><td class="ssns text water">$p</td></tr><tr><td class="snss text">no</td><td class="snss plane green">sort ****</td><td class="snss text green">Γ ⊢ ⋆k</td><td class="snss text green">no</td><td class="snss text green">no</td><td class="snss text green">no</td><td class="ssss text green">no</td></tr></tbody></table></div>
-   <div class="text">* In terms only.
-        ** In terms and local environments only.
-         *** In global environments only.
-         **** Sort level k in terms only. 
-   </div>
-   
-   <div class="head2">Summary of the Specification</div>
-   <div class="text">Here is a numerical acount of the specification's contents
+  <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/basic_2/ (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 xmlns:ld="http://lambdadelta.info/" class="head2sn" id="">Summary of the Specification</div>
+   <div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
          and its timeline.
+         Nodes are counted according to the "intrinsinc complexity measure"
+         [F. Guidi: "Procedural Representation of CIC Proof Terms"
+         Journal of Automated Reasoning 44(1-2), Springer (February 2010),
+         pp. 53-78].
    </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">225</td><td class="snns plane cyan">characters</td><td class="snnn number cyan">423665</td><td class="snns plane cyan">nodes</td><td class="ssnn number cyan">1282212</td></tr><tr><td class="snns component green">propositions</td><td class="snns plane green">theorems</td><td class="snnn number green">82</td><td class="snns plane green">lemmas</td><td class="snnn number green">984</td><td class="snns plane green">total</td><td class="ssnn number green">1066</td></tr><tr><td class="snss component yellow">concepts</td><td class="snss plane yellow">declared</td><td class="snsn number yellow">43</td><td class="snss plane yellow">defined</td><td class="snsn number yellow">76</td><td class="snss plane yellow">total</td><td class="sssn number yellow">119</td></tr></tbody></table></div>
-   <ul><li><span class="date">In progress.</span>
+   <div xmlns:ld="http://lambdadelta.info/" class="text">
+      <table cellpadding="4" cellspacing="0">
+        <tbody>
+          <tr>
+            <td class="snns component gray">category</td>
+            <td class="snns plane gray">objects</td>
+            <td class="snnn number gray">
+              <br />
+            </td>
+            <td class="snnn plane gray">
+              <br />
+            </td>
+            <td class="snnn number gray">
+              <br />
+            </td>
+            <td class="snnn plane gray">
+              <br />
+            </td>
+            <td class="ssnn number gray">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component cyan">sizes</td>
+            <td class="snns plane cyan">files</td>
+            <td class="snnn number cyan">362</td>
+            <td class="snns plane cyan">characters</td>
+            <td class="snnn number cyan">431125</td>
+            <td class="snns plane cyan">nodes</td>
+            <td class="ssnn number cyan">1829252</td>
+          </tr>
+          <tr>
+            <td class="snns component green">propositions</td>
+            <td class="snns plane green">theorems</td>
+            <td class="snnn number green">123</td>
+            <td class="snns plane green">lemmas</td>
+            <td class="snnn number green">1300</td>
+            <td class="snns plane green">total</td>
+            <td class="ssnn number green">1423</td>
+          </tr>
+          <tr>
+            <td class="snss component yellow">concepts</td>
+            <td class="snss plane yellow">declared</td>
+            <td class="snsn number yellow">54</td>
+            <td class="snss plane yellow">defined</td>
+            <td class="snsn number yellow">84</td>
+            <td class="snss plane yellow">total</td>
+            <td class="sssn number yellow">138</td>
+          </tr>
+        </tbody>
+      </table>
+    </div>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">In progress.</span>
          Context-sensitive subject equivalence
-        for native type assignment.
-   </li></ul>
-   <ul><li><span class="date">In progress.</span>
-         Closure of extended context-sensitive computation
-        for native validity.
-   </li></ul>
-   <ul><li><span class="date">In progress.</span>
-         Extended context-sensitive strong normalization
-        for simply typed terms.
-   </li></ul>
-   <ul><li><span class="date">2012 October 16.</span>
+         for native type assignment.
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2014 June 18.</span>
+         Preservation of stratified native validity
+         for context-sensitive computation on terms.
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2014 June 9.</span>
+         "Big tree" strong normalization
+         for simply typed terms.
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2014 April 16.</span>
+         lazy equivalence on local environments
+        serves as irrelevant step in "big tree" computation on closures
+         (anniversary milestone).
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2014 January 20.</span>
+         Parametrized slicing for local environments
+        comprises both versions of this operation
+        (one from basic_1, the other used in basic_2 till now).
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2013 August 7.</span>
+         Passive support for global environments.
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2013 July 27.</span>
+         Reaxiomatized β-reductum as in extended β-reduction
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2013 July 20.</span>
+         Context-sensitive extended strong normalization
+         for simply typed terms.
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2013 April 16.</span>
+         Reaxiomatized substitution and reduction
+         commute with respect to subclosure
+         (anniversary milestone).
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2013 March 16.</span>
+         Mutual recursive preservation of stratified native validity
+         for "big tree" computation on closures.
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2012 October 16.</span>
          Confluence for context-free parallel reduction on closures.
-   </li></ul>
-   <ul><li><span class="date">2012 July 26.</span>
-         Term binders polarized to control ζ reduction.
-   </li></ul>   
-   <ul><li><span class="date">2012 April 16.</span>
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2012 July 26.</span>
+         Term binders polarized to control ζ-reduction (not released).
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2012 April 16.</span>
          Context-sensitive subject equivalence
-        for atomic arity assignment
-        (anniversary milestone).
-   </li></ul>
-   <ul><li><span class="date">2012 March 15.</span>
+         for atomic arity assignment
+         (anniversary milestone).
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2012 March 15.</span>
          Context-sensitive strong normalization
-        for simply typed terms.
-   </li></ul>
-   <ul><li><span class="date">2012 January 27.</span>
+         for simply typed terms.
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2012 January 27.</span>
          Support for abstract candidates of reducibility.
-   </li></ul>
-   <ul><li><span class="date">2011 September 21.</span>
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2011 September 21.</span>
          Confluence for context-sensitive parallel reduction on terms.
-   </li></ul>
-   <ul><li><span class="date">2011 September 6.</span>
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2011 September 6.</span>
          Confluence for context-free parallel reduction on terms.
-   </li></ul>
-   <ul><li><span class="date">2011 April 17.</span>
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2011 April 17.</span>
          Specification starts.
-   </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
+   <div xmlns:ld="http://lambdadelta.info/" class="head2sn" id="">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.
-         A notation file covering the whole specification is provided.
-        The notation for the relations or functions introduced in each file
-        is shown in parentheses (? are placeholders).
+         Notation files covering the whole specification are provided.
+         The notation for the relations or functions introduced in each file
+         is shown in parentheses (? are placeholders).
    </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="snnn file grey"><br/></td><td class="snnn file grey"><br/></td><td class="snnn file grey"><br/></td><td class="ssnn file grey"><br/></td></tr><tr><td class="snns component prune">dynamic typing</td><td class="snns plane prune">stratified native validity</td><td class="snns file prune">snv ( ⦃?,?⦄ ⊩ ? :[?] )</td><td class="snnn file prune">snv_lift snv_aaa snv_ssta</td><td class="snnn file prune"><br/></td><td class="snnn file prune"><br/></td><td class="ssnn file prune"><br/></td></tr><tr><td class="snns component blue">equivalence</td><td class="snns plane blue">focalized equivalence</td><td class="snns file blue">lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )</td><td class="snnn file blue">lfpcs_aaa lfpcs_lfprs lfpcs_lfpcs</td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="ssnn file blue"><br/></td></tr><tr><td class="nnns component blue"><br/></td><td class="nnns plane blue"><br/></td><td class="snns file blue">fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )</td><td class="snnn file blue">fpcs_aaa fpcs_cpcs fpcs_fprs fpcs_fpcs</td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="ssnn file blue"><br/></td></tr><tr><td class="nnns component blue"><br/></td><td class="snns plane blue">local env. ref. for context-sensitive equivalence</td><td class="snns file blue">lsubse ( ? ⊢•⊑[?] ? )</td><td class="snnn file blue">lsubse_ldrop lsubse_ssta lsubse_cpcs</td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="ssnn file blue"><br/></td></tr><tr><td class="nnns component blue"><br/></td><td class="snns plane blue">context-sensitive equivalence</td><td class="snns file blue">cpcs ( ? ⊢ ? ⬌* ? )</td><td class="snnn file blue">cpcs_ltpss cpcs_delift cpcs_aaa cpcs_ltpr cpcs_cprs cpcs_cpcs</td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="ssnn file blue"><br/></td></tr><tr><td class="snns component sky">conversion</td><td class="snns plane sky">focalized conversion</td><td class="snns file sky">lfpc ( ⦃?⦄ ⬌ ⦃?⦄ )</td><td class="snnn file sky">lfpc_lfpc</td><td class="snnn file sky"><br/></td><td class="snnn file sky"><br/></td><td class="ssnn file sky"><br/></td></tr><tr><td class="nnns component sky"><br/></td><td class="nnns plane sky"><br/></td><td class="snns file sky">fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )</td><td class="snnn file sky">fpc_fpc</td><td class="snnn file sky"><br/></td><td class="snnn file sky"><br/></td><td class="ssnn file sky"><br/></td></tr><tr><td class="nnns component sky"><br/></td><td class="snns plane sky">context-sensitive conversion</td><td class="snns file sky">cpc ( ? ⊢ ? ⬌ ? )</td><td class="snnn file sky">cpc_cpc</td><td class="snnn file sky"><br/></td><td class="snnn file sky"><br/></td><td class="ssnn file sky"><br/></td></tr><tr><td class="snns component cyan">computation</td><td class="snns plane cyan">extended computation</td><td class="snns file cyan">xprs ( ⦃?,?⦄ ⊢ ? •➡*[?] ? )</td><td class="snnn file cyan">xprs_lift xprs_aaa xpr_lsubss xprs_cprs xprs_xprs</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></td><td class="ssnn file cyan"><br/></td></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">weakly normalizing computation</td><td class="snns file cyan">cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )</td><td class="snnn file cyan">cpe_cpe</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></td><td class="ssnn file cyan"><br/></td></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">strongly normalizing computation</td><td class="snns file cyan">csn_vector ( ? ⊢ ⬊* ? )</td><td class="snnn file cyan">csn_cpr_vector csn_tstc_vector csn_aaa</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></td><td class="ssnn file cyan"><br/></td></tr><tr><td class="nnns component cyan"><br/></td><td class="nnns plane cyan"><br/></td><td class="snns file cyan">csn ( ? ⊢ ⬊* ? )</td><td class="snnn file cyan">csn_alt ( ? ⊢ ⬊⬊* ? )</td><td class="snnn file cyan">csn_lift csn_cpr csn_lfpr</td><td class="snnn file cyan"><br/></td><td class="ssnn file cyan"><br/></td></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">focalized computation</td><td class="snns file cyan">lfprs ( ⦃?⦄ ➡* ⦃?⦄ )</td><td class="snnn file cyan">lfprs_aaa lfprs_cprs lfprs_lfprs</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></td><td class="ssnn file cyan"><br/></td></tr><tr><td class="nnns component cyan"><br/></td><td class="nnns plane cyan"><br/></td><td class="snns file cyan">fprs ( ⦃?,?⦄ ➡* ⦃?,?⦄ )</td><td class="snnn file cyan">fprs_aaa fprs_fprs</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></td><td class="ssnn file cyan"><br/></td></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">context-sensitive computation</td><td class="snns file cyan">cprs (? ⊢ ? ➡* ?)</td><td class="snnn file cyan">cprs_lift cprs_delift cprs_aaa cprs_ltpr cprs_lfpr cprs_cprs cprs_lfprs cprs_tstc cprs_tstc_vector</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></td><td class="ssnn file cyan"><br/></td></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">context-free computation</td><td class="snns file cyan">ltprs ( ? ➡* ? )</td><td class="snnn file cyan">ltprs_alt ( ? ➡➡* ? )</td><td class="snnn file cyan">ltprs_ldrop ltprs_ltprs</td><td class="snnn file cyan"><br/></td><td class="ssnn file cyan"><br/></td></tr><tr><td class="nnns component cyan"><br/></td><td class="nnns plane cyan"><br/></td><td class="snns file cyan">tprs ( ? ➡* ?)</td><td class="snnn file cyan">tprs_lift tprs_tprs</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></td><td class="ssnn file cyan"><br/></td></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">local env. ref. for abstract candidates of reducibility</td><td class="snns file cyan">lsubc ( ? ⊑[?] ? )</td><td class="snnn file cyan">lsubc_ldrop lsubc_ldrops lsubc_lsuba</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></td><td class="ssnn file cyan"><br/></td></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">support for abstract computation properties</td><td class="snns file cyan">acp</td><td class="snnn file cyan">acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )</td><td class="snnn file cyan">acp_aaa</td><td class="snnn file cyan"><br/></td><td class="ssnn file cyan"><br/></td></tr><tr><td class="snns component water">reducibility</td><td class="snns plane water">extended reduction</td><td class="snns file water">xpr ( ⦃?,?⦄ ⊢ ? •➡[?] ? )</td><td class="snnn file water">xpr_lift xpr_aaa xpr_lsubss</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="ssnn file water"><br/></td></tr><tr><td class="nnns component water"><br/></td><td class="snns plane water">context-sensitive focalized reduction</td><td class="snns file water">cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )</td><td class="snnn file water">cnfpr_ltpss cfpr_aaa cfpr_cpr cfpr_cfpr</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="ssnn file water"><br/></td></tr><tr><td class="nnns component water"><br/></td><td class="snns plane water">context-free focalized reduction</td><td class="snns file water">lfpr ( ⦃?⦄ ➡ ⦃?⦄ )</td><td class="snnn file water">lfpr_alt ( ⦃?⦄ ➡➡ ⦃?⦄ )</td><td class="snnn file water">lfpr_aaa lfpr_cpr lfpr_fpr lfpr_lfpr</td><td class="snnn file water"><br/></td><td class="ssnn file water"><br/></td></tr><tr><td class="nnns component water"><br/></td><td class="nnns plane water"><br/></td><td class="snns file water">fpr ( ⦃?,?⦄ ➡ ⦃?,?⦄ )</td><td class="snnn file water">fpr_cpr fpr_fpr</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="ssnn file water"><br/></td></tr><tr><td class="nnns component water"><br/></td><td class="snns plane water">context-sensitive normal forms</td><td class="snns file water">cnf ( ? ⊢ 𝐍⦃?⦄ )</td><td class="snnn file water">cnf_lift cnf_cif</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="ssnn file water"><br/></td></tr><tr><td class="nnns component water"><br/></td><td class="snns plane water">context-sensitive reduction</td><td class="snns file water">cpr ( ? ⊢ ? ➡ ? )</td><td class="snnn file water">cpr_lift cpr_tpss cpr_ltpss cpr_delift cpr_aaa cpr_ltpr cpr_cpr</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="ssnn file water"><br/></td></tr><tr><td class="nnns component water"><br/></td><td class="snns plane water">context-sensitive reducible forms</td><td class="snns file water">crf ( ? ⊢ 𝐑⦃?⦄ )</td><td class="snnn file water">crf_append</td><td class="snnn file water">cif ( ? ⊢ 𝐈⦃?⦄ )</td><td class="snnn file water">cif_append</td><td class="ssnn file water"><br/></td></tr><tr><td class="nnns component water"><br/></td><td class="snns plane water">context-free normal forms</td><td class="snns file water">thnf ( 𝐇𝐍⦃?⦄ )</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="ssnn file water"><br/></td></tr><tr><td class="nnns component water"><br/></td><td class="snns plane water">context-free reduction</td><td class="snns file water">ltpr ( ? ➡ ? )</td><td class="snnn file water">ltpr_ldrop ltpr_tps ltpr_ltpss_dx ltpr_ltpss_sn ltpr_aaa ltpr_ltpr</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="ssnn file water"><br/></td></tr><tr><td class="nnns component water"><br/></td><td class="nnns plane water"><br/></td><td class="snns file water">tpr ( ? ➡ ? )</td><td class="snnn file water">tpr_lift tpr_tps tpr_tpss tpr_delift tpr_tpr</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="ssnn file water"><br/></td></tr><tr><td class="snns component green">unwind</td><td class="snns plane green"/><td class="snns file green"/><td class="snnn file green"><br/></td><td class="snnn file green"><br/></td><td class="snnn file green"><br/></td><td class="ssnn file green"><br/></td></tr><tr><td class="snns component grass">static typing</td><td class="snns plane grass">local env. ref. for stratified static type assignment</td><td class="snns file grass">lsubss ( ? •⊑[?] ? )</td><td class="snnn file grass">lsubss_ldrop lsubss_ssta lsubss_lsubss</td><td class="snnn file grass"><br/></td><td class="snnn file grass"><br/></td><td class="ssnn file grass"><br/></td></tr><tr><td class="nnns component grass"><br/></td><td class="snns plane grass">stratified static type assignment</td><td class="snns file grass">ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )</td><td class="snnn file grass">ssta_lift ssta_ltpss_dx ssta_ltpss_sn ssta_aaa ssta_ssta</td><td class="snnn file grass"><br/></td><td class="snnn file grass"><br/></td><td class="ssnn file grass"><br/></td></tr><tr><td class="nnns component grass"><br/></td><td class="snns plane grass">local env. ref. for atomic arity assignment</td><td class="snns file grass">lsuba ( ? ⁝⊑ ? )</td><td class="snnn file grass">lsuba_ldrop lsuba_aaa lsuba_lsuba</td><td class="snnn file grass"><br/></td><td class="snnn file grass"><br/></td><td class="ssnn file grass"><br/></td></tr><tr><td class="nnns component grass"><br/></td><td class="snns plane grass">atomic arity assignment</td><td class="snns file grass">aaa ( ? ⊢ ? ⁝ ? )</td><td class="snnn file grass">aaa_lift aaa_lifts aaa_ltpss_dx aaa_ltpss_sn aaa_aaa</td><td class="snnn file grass"><br/></td><td class="snnn file grass"><br/></td><td class="ssnn file grass"><br/></td></tr><tr><td class="nnns component grass"><br/></td><td class="snns plane grass">parameters</td><td class="snns file grass">sh</td><td class="snnn file grass">sd</td><td class="snnn file grass"><br/></td><td class="snnn file grass"><br/></td><td class="ssnn file grass"><br/></td></tr><tr><td class="snns component yellow">unfold</td><td class="snns plane yellow">basic local env. thinning</td><td class="snns file yellow">thin ( ? ▼*[?,?] ≡ ? )</td><td class="snnn file yellow">thin_ldrop thin_delift</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></td><td class="ssnn file yellow"><br/></td></tr><tr><td class="nnns component yellow"><br/></td><td class="snns plane yellow">inverse basic term relocation</td><td class="snns file yellow">delift ( ? ⊢ ? ▼*[?,?] ≡ ? )</td><td class="snnn file yellow">delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )</td><td class="snnn file yellow">delift_lift delift_tpss delift_ltpss delift_delift</td><td class="snnn file yellow"><br/></td><td class="ssnn file yellow"><br/></td></tr><tr><td class="nnns component yellow"><br/></td><td class="snns plane yellow">partial unfold</td><td class="snns file yellow">ltpss_sn ( ? ⊢ ▶*[?,?] ? )</td><td class="snnn file yellow">ltpss_sn_alt ( ? ⊢ ▶▶*[?,?] ? )</td><td class="snnn file yellow">ltpss_sn_ldrop ltpss_sn_tps ltpss_sn_tpss ltpss_sn_ltpss_sn</td><td class="snnn file yellow"><br/></td><td class="ssnn file yellow"><br/></td></tr><tr><td class="nnns component yellow"><br/></td><td class="nnns plane yellow"><br/></td><td class="snns file yellow">ltpss_dx ( ? ▶*[?,?] ? )</td><td class="snnn file yellow">ltpss_dx_ldrop ltpss_dx_tps ltpss_dx_tpss ltpss_dx_ltpss_dx</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></td><td class="ssnn file yellow"><br/></td></tr><tr><td class="nnns component yellow"><br/></td><td class="nnns plane yellow"><br/></td><td class="snns file yellow">tpss ( ? ⊢ ? ▶*[?,?] ? )</td><td class="snnn file yellow">tpss_alt ( ? ⊢ ? ▶▶*[?,?] ? )</td><td class="snnn file yellow">tpss_lift</td><td class="snnn file yellow">tpss_tpss</td><td class="ssnn file yellow"><br/></td></tr><tr><td class="nnns component yellow"><br/></td><td class="snns plane yellow">generic local env. slicing</td><td class="snns file yellow">ldrops ( ⇩*[?] ? ≡ ? )</td><td class="snnn file yellow">ldrops_ldrop ldrops_ldrops</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></td><td class="ssnn file yellow"><br/></td></tr><tr><td class="nnns component yellow"><br/></td><td class="snns plane yellow">iterated restricted structural predecessor for closures</td><td class="snns file yellow">frsups ( ⦃?,?⦄ ⧁* ⦃?,?⦄ )</td><td class="snnn file yellow">frsups_frsups</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></td><td class="ssnn file yellow"><br/></td></tr><tr><td class="nnns component yellow"><br/></td><td class="nnns plane yellow"><br/></td><td class="snns file yellow">frsupp ( ⦃?,?⦄ ⧁+ ⦃?,?⦄ )</td><td class="snnn file yellow">frsupp_frsupp</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></td><td class="ssnn file yellow"><br/></td></tr><tr><td class="nnns component yellow"><br/></td><td class="snns plane yellow">generic term relocation</td><td class="snns file yellow">lifts_vector ( ⇧*[?] ? ≡ ? )</td><td class="snnn file yellow">lifts_lift_vector</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></td><td class="ssnn file yellow"><br/></td></tr><tr><td class="nnns component yellow"><br/></td><td class="nnns plane yellow"><br/></td><td class="snns file yellow">lifts ( ⇧*[?] ? ≡ ? )</td><td class="snnn file yellow">lifts_lift lifts_lifts</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></td><td class="ssnn file yellow"><br/></td></tr><tr><td class="nnns component yellow"><br/></td><td class="snns plane yellow">support for generic relocation</td><td class="snns file yellow">gr2 ( @⦃?,?⦄ ≡ ? )</td><td class="snnn file yellow">gr2_plus ( ? + ? )</td><td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td><td class="snnn file yellow">gr2_gr2</td><td class="ssnn file yellow"><br/></td></tr><tr><td class="snns component orange">substitution</td><td class="snns plane orange">parallel substitution</td><td class="snns file orange">tps ( ? ⊢ ? ▶[?,?] ? )</td><td class="snnn file orange">tps_lift tps_tps</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="ssnn file orange"><br/></td></tr><tr><td class="nnns component orange"><br/></td><td class="snns plane orange">global env. slicing</td><td class="snns file orange">gdrop ( ⇩[?] ? ≡ ? )</td><td class="snnn file orange">gdrop_gdrop</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="ssnn file orange"><br/></td></tr><tr><td class="nnns component orange"><br/></td><td class="snns plane orange">basic local env. slicing</td><td class="snns file orange">ldrop ( ⇩[?,?] ? ≡ ? )</td><td class="snnn file orange">ldrop_append ldrop_lpx ldrop_sfr ldrop_ldrop</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="ssnn file orange"><br/></td></tr><tr><td class="nnns component orange"><br/></td><td class="snns plane orange">local env. ref. for substitution</td><td class="snns file orange">lsubs ( ? ≼[?,?] ? )</td><td class="snnn file orange">(lsubs_lsubs)</td><td class="snnn file orange">lsubs_sfr ( ≽[?,?] ? )</td><td class="snnn file orange"><br/></td><td class="ssnn file orange"><br/></td></tr><tr><td class="nnns component orange"><br/></td><td class="snns plane orange">restricted structural predecessor for closures</td><td class="snns file orange">frsup ( ⦃?,?⦄ ⧁ ⦃?,?⦄ )</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="ssnn file orange"><br/></td></tr><tr><td class="nnns component orange"><br/></td><td class="snns plane orange">basic term relocation</td><td class="snns file orange">lift_vector ( ⇧[?,?] ? ≡ ? )</td><td class="snnn file orange">lift_lift_vector</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="ssnn file orange"><br/></td></tr><tr><td class="nnns component orange"><br/></td><td class="nnns plane orange"><br/></td><td class="snns file orange">lift ( ⇧[?,?] ? ≡ ? )</td><td class="snnn file orange">lift_lift</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="ssnn file orange"><br/></td></tr><tr><td class="snns component red">grammar</td><td class="snns plane red">same head term form</td><td class="snns file red">tshf ( ? ≈ ? )</td><td class="snnn file red">(tshf_tshf)</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="ssnn file red"><br/></td></tr><tr><td class="nnns component red"><br/></td><td class="snns plane red">same top term constructor</td><td class="snns file red">tstc ( ? ≃ ? )</td><td class="snnn file red">tstc_tstc tstc_vector</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="ssnn file red"><br/></td></tr><tr><td class="nnns component red"><br/></td><td class="snns plane red">closures</td><td class="snns file red">cl_shift ( ? @@ ? )</td><td class="snnn file red">cl_weight ( ♯{?,?} )</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="ssnn file red"><br/></td></tr><tr><td class="nnns component red"><br/></td><td class="snns plane red">internal syntax</td><td class="snns file red">genv</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="ssnn file red"><br/></td></tr><tr><td class="nnns component red"><br/></td><td class="nnns plane red"><br/></td><td class="snns file red">lenv</td><td class="snnn file red">lenv_weight ( ♯{?} )</td><td class="snnn file red">lenv_length ( |?| )</td><td class="snnn file red">lenv_append ( ? @@ ? )</td><td class="ssnn file red">lenv_px lenv_px_bi</td></tr><tr><td class="nnns component red"><br/></td><td class="nnns plane red"><br/></td><td class="snns file red">term</td><td class="snnn file red">term_weight ( ♯{?} )</td><td class="snnn file red">term_simple ( 𝐒⦃?⦄ )</td><td class="snnn file red">term_vector</td><td class="ssnn file red"><br/></td></tr><tr><td class="nnns component red"><br/></td><td class="nnns plane red"><br/></td><td class="snns file red">item</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="ssnn file red"><br/></td></tr><tr><td class="nnss component red"><br/></td><td class="snss plane red">external syntax</td><td class="snss file red">aarity</td><td class="snsn file red"><br/></td><td class="snsn file red"><br/></td><td class="snsn file red"><br/></td><td class="sssn file red"><br/></td></tr></tbody></table></div>
+   <div xmlns:ld="http://lambdadelta.info/" class="text">
+      <table cellpadding="4" cellspacing="0">
+        <tbody>
+          <tr>
+            <td class="snns component gray">component</td>
+            <td class="snns plane gray">plane</td>
+            <td class="snns file gray">files</td>
+            <td class="snnn file gray">
+              <br />
+            </td>
+            <td class="snnn file gray">
+              <br />
+            </td>
+            <td class="ssnn file gray">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component wine">examples</td>
+            <td class="snns plane wine">terms with special features</td>
+            <td class="snns file wine">ex_cpr_omega</td>
+            <td class="snnn file wine">
+              <br />
+            </td>
+            <td class="snnn file wine">
+              <br />
+            </td>
+            <td class="ssnn file wine">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component magenta" />
+            <td class="snns plane magenta" />
+            <td class="snns file magenta" />
+            <td class="snnn file magenta">
+              <br />
+            </td>
+            <td class="snnn file magenta">
+              <br />
+            </td>
+            <td class="ssnn file magenta">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component prune">dynamic typing</td>
+            <td class="snns plane prune">local env. ref. for stratified native validity</td>
+            <td class="snns file prune">lsubsv ( ? ⊢ ? ¡⫃[?,?] ? )</td>
+            <td class="snnn file prune">lsubsv_lsuba lsubsv_lsubd lsubsv_lstas lsubsv_cpds lsubsv_cpcs lsubsv_snv</td>
+            <td class="snnn file prune">
+              <br />
+            </td>
+            <td class="ssnn file prune">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component prune">
+              <br />
+            </td>
+            <td class="snns plane prune">stratified native validity</td>
+            <td class="snns file prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )</td>
+            <td class="snnn file prune">snv_lift snv_aaa snv_da_lpr snv_lstas snv_lstas_lpr snv_lpr snv_cpcs snv_preserve</td>
+            <td class="snnn file prune">
+              <br />
+            </td>
+            <td class="ssnn file prune">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component blue">equivalence</td>
+            <td class="snns plane blue">decomposed extended equivalence</td>
+            <td class="snns file blue">cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )</td>
+            <td class="snnn file blue">cpes_cpds</td>
+            <td class="snnn file blue">
+              <br />
+            </td>
+            <td class="ssnn file blue">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component blue">
+              <br />
+            </td>
+            <td class="snns plane blue">context-sensitive equivalence</td>
+            <td class="snns file blue">cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )</td>
+            <td class="snnn file blue">cpcs_aaa cpcs_cprs cpcs_cpcs</td>
+            <td class="snnn file blue">
+              <br />
+            </td>
+            <td class="ssnn file blue">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component sky">conversion</td>
+            <td class="snns plane sky">context-sensitive conversion</td>
+            <td class="snns file sky">cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )</td>
+            <td class="snnn file sky">cpc_cpc</td>
+            <td class="snnn file sky">
+              <br />
+            </td>
+            <td class="ssnn file sky">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component cyan">computation</td>
+            <td class="snns plane cyan">evaluation for context-sensitive extended reduction</td>
+            <td class="snns file cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">evaluation for context-sensitive reduction</td>
+            <td class="snns file cyan">cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )</td>
+            <td class="snnn file cyan">cpre_cpre</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">strongly normalizing "big tree" computation</td>
+            <td class="snns file cyan">fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )</td>
+            <td class="snnn file cyan">fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )</td>
+            <td class="snnn file cyan">fsb_aaa fsb_csx</td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">strongly normalizing extended computation</td>
+            <td class="snns file cyan">lcosx ( ? ⊢ ~⬊*[?,?,?] ? )</td>
+            <td class="snnn file cyan">lcosx_cpx</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="nnns plane cyan">
+              <br />
+            </td>
+            <td class="snns file cyan">lsx ( ? ⊢ ⬊*[?,?,?,?] ? )</td>
+            <td class="snnn file cyan">lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )</td>
+            <td class="snnn file cyan">lsx_drop lsx_lpx lsx_lpxs llsx_csx</td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="nnns plane cyan">
+              <br />
+            </td>
+            <td class="snns file cyan">csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
+            <td class="snnn file cyan">csx_tstc_vector csx_aaa</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="nnns plane cyan">
+              <br />
+            </td>
+            <td class="snns file cyan">csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
+            <td class="snnn file cyan">csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )</td>
+            <td class="snnn file cyan">csx_lift csx_lleq csx_lpx csx_lpxs csx_fpbs</td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">"big tree" parallel computation</td>
+            <td class="snns file cyan">fpbg ( ⦃?,?,?⦄ &gt;≡[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbg_lift fpbg_fleq fpbg_fpbg</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="nnns plane cyan">
+              <br />
+            </td>
+            <td class="snns file cyan">fpbc ( ⦃?,?,?⦄ ≻≡[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbc_fleq fpbc_fpbs</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="nnns plane cyan">
+              <br />
+            </td>
+            <td class="snns file cyan">fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbu_lift fpbu_lleq</td>
+            <td class="snnn file cyan">fpbu_fleq</td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="nnns plane cyan">
+              <br />
+            </td>
+            <td class="snns file cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file cyan">fpbs_lift fpbs_fleq fpbs_aaa fpbs_fpbs fpbs_ext</td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">decomposed extended computation</td>
+            <td class="snns file cyan">cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )</td>
+            <td class="snnn file cyan">cpds_lift cpds_aaa cpds_cpds</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">context-sensitive extended computation</td>
+            <td class="snns file cyan">lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )</td>
+            <td class="snnn file cyan">lpxs_drop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="nnns plane cyan">
+              <br />
+            </td>
+            <td class="snns file cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )</td>
+            <td class="snnn file cyan">cpxs_tstc cpxs_tstc_vector cpxs_leq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">context-sensitive computation</td>
+            <td class="snns file cyan">lprs ( ⦃?,?⦄ ⊢ ➡* ? )</td>
+            <td class="snnn file cyan">lprs_drop lprs_cprs lprs_lprs</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="nnns plane cyan">
+              <br />
+            </td>
+            <td class="snns file cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
+            <td class="snnn file cyan">cprs_lift cprs_cprs</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">local env. ref. for abstract candidates of reducibility</td>
+            <td class="snns file cyan">lsubc ( ? ⊢ ? ⫃[?] ? )</td>
+            <td class="snnn file cyan">lsubc_drop lsubc_drops lsubc_lsuba</td>
+            <td class="snnn file cyan">
+              <br />
+            </td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component cyan">
+              <br />
+            </td>
+            <td class="snns plane cyan">support for abstract computation properties</td>
+            <td class="snns file cyan">acp</td>
+            <td class="snnn file cyan">acp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
+            <td class="snnn file cyan">acp_aaa</td>
+            <td class="ssnn file cyan">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component water">reduction</td>
+            <td class="snns plane water">"big tree" parallel reduction</td>
+            <td class="snns file water">fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file water">fpb_lift fpb_aaa</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">normal forms for context-sensitive extended reduction</td>
+            <td class="snns file water">cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )</td>
+            <td class="snnn file water">cnx_lift cnx_crx cnx_cix</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">context-sensitive extended reduction</td>
+            <td class="snns file water">lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
+            <td class="snnn file water">lpx_drop lpx_frees</td>
+            <td class="snnn file water">lpx_lleq lpx_aaa</td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="nnns plane water">
+              <br />
+            </td>
+            <td class="snns file water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
+            <td class="snnn file water">cpx_leq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">irreducible forms for context-sensitive extended reduction</td>
+            <td class="snns file water">cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )</td>
+            <td class="snnn file water">cix_lift</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">reducible forms for context-sensitive extended reduction</td>
+            <td class="snns file water">crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )</td>
+            <td class="snnn file water">crx_lift</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">normal forms for context-sensitive reduction</td>
+            <td class="snns file water">cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )</td>
+            <td class="snnn file water">cnr_lift cnr_crr cnr_cir</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">context-sensitive reduction</td>
+            <td class="snns file water">lpr ( ⦃?,?⦄ ⊢ ➡ ? )</td>
+            <td class="snnn file water">lpr_drop lpr_lpr</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="nnns plane water">
+              <br />
+            </td>
+            <td class="snns file water">cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )</td>
+            <td class="snnn file water">cpr_lift cpr_llpx_sn cpr_cir</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">irreducible forms for context-sensitive reduction</td>
+            <td class="snns file water">cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )</td>
+            <td class="snnn file water">cir_lift</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component water">
+              <br />
+            </td>
+            <td class="snns plane water">reducible forms for context-sensitive reduction</td>
+            <td class="snns file water">crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )</td>
+            <td class="snnn file water">crr_lift</td>
+            <td class="snnn file water">
+              <br />
+            </td>
+            <td class="ssnn file water">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component green">unfold</td>
+            <td class="snns plane green">unfold</td>
+            <td class="snns file green">unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )</td>
+            <td class="snnn file green">
+              <br />
+            </td>
+            <td class="snnn file green">
+              <br />
+            </td>
+            <td class="ssnn file green">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component green">
+              <br />
+            </td>
+            <td class="snns plane green">iterated static type assignment</td>
+            <td class="snns file green">lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )</td>
+            <td class="snnn file green">lstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?] ? )</td>
+            <td class="snnn file green">lstas_lift lstas_aaa lstas_da lstas_lstas</td>
+            <td class="ssnn file green">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component grass">static typing</td>
+            <td class="snns plane grass">local env. ref. for degree assignment</td>
+            <td class="snns file grass">lsubd ( ? ⊢ ? ▪⫃ ? )</td>
+            <td class="snnn file grass">lsubd_da lsubd_lsubd</td>
+            <td class="snnn file grass">
+              <br />
+            </td>
+            <td class="ssnn file grass">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component grass">
+              <br />
+            </td>
+            <td class="snns plane grass">degree assignment</td>
+            <td class="snns file grass">da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )</td>
+            <td class="snnn file grass">da_lift da_aaa da_sta da_da</td>
+            <td class="snnn file grass">
+              <br />
+            </td>
+            <td class="ssnn file grass">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component grass">
+              <br />
+            </td>
+            <td class="snns plane grass">static type assignment</td>
+            <td class="snns file grass">sta ( ⦃?,?⦄ ⊢ ? •[?] ? )</td>
+            <td class="snnn file grass">sta_lift sta_lpx_sn sta_aaa sta_sta</td>
+            <td class="snnn file grass">
+              <br />
+            </td>
+            <td class="ssnn file grass">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component grass">
+              <br />
+            </td>
+            <td class="snns plane grass">parameters</td>
+            <td class="snns file grass">sh</td>
+            <td class="snnn file grass">sd</td>
+            <td class="snnn file grass">
+              <br />
+            </td>
+            <td class="ssnn file grass">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component grass">
+              <br />
+            </td>
+            <td class="snns plane grass">local env. ref. for atomic arity assignment</td>
+            <td class="snns file grass">lsuba ( ? ⊢ ? ⁝⫃ ? )</td>
+            <td class="snnn file grass">lsuba_aaa lsuba_lsuba</td>
+            <td class="snnn file grass">
+              <br />
+            </td>
+            <td class="ssnn file grass">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component grass">
+              <br />
+            </td>
+            <td class="snns plane grass">atomic arity assignment</td>
+            <td class="snns file grass">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
+            <td class="snnn file grass">aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_aaa</td>
+            <td class="snnn file grass">
+              <br />
+            </td>
+            <td class="ssnn file grass">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component grass">
+              <br />
+            </td>
+            <td class="snns plane grass">restricted local env. ref.</td>
+            <td class="snns file grass">lsubr ( ? ⫃ ? )</td>
+            <td class="snnn file grass">lsubr_lsubr</td>
+            <td class="snnn file grass">
+              <br />
+            </td>
+            <td class="ssnn file grass">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component yellow">multiple substitution</td>
+            <td class="snns plane yellow">lazy equivalence</td>
+            <td class="snns file yellow">fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )</td>
+            <td class="snnn file yellow">fleq_fleq</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="nnns plane yellow">
+              <br />
+            </td>
+            <td class="snns file yellow">lleq ( ? ≡[?,?] ? )</td>
+            <td class="snnn file yellow">lleq_alt lleq_alt_rec lleq_leq lleq_drop lleq_fqus lleq_llor lleq_lleq</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="snns plane yellow">lazy pointwise extension of a relation</td>
+            <td class="snns file yellow">llpx_sn</td>
+            <td class="snnn file yellow">llpx_sn_alt llpx_sn_alt_rec llpx_sn_tc llpx_sn_leq llpx_sn_drop llpx_sn_lpx_sn llpx_sn_frees llpx_sn_llor</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="snns plane yellow">pointwise union for local environments</td>
+            <td class="snns file yellow">llor ( ? ⩖[?,?] ? ≡ ? )</td>
+            <td class="snnn file yellow">llor_alt llor_drop</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="snns plane yellow">context-sensitive exclusion from free variables</td>
+            <td class="snns file yellow">frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )</td>
+            <td class="snnn file yellow">frees_append frees_leq frees_lift</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="snns plane yellow">contxt-sensitive extended multiple substitution</td>
+            <td class="snns file yellow">cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )</td>
+            <td class="snnn file yellow">cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )</td>
+            <td class="snnn file yellow">cpys_lift cpys_cpys</td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="snns plane yellow">iterated structural successor for closures</td>
+            <td class="snns file yellow">fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )</td>
+            <td class="snnn file yellow">fqus_alt fqus_fqus</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="nnns plane yellow">
+              <br />
+            </td>
+            <td class="snns file yellow">fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )</td>
+            <td class="snnn file yellow">fqup_fqup</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="snns plane yellow">iterated local env. slicing</td>
+            <td class="snns file yellow">drops ( ⇩*[?,?] ? ≡ ? )</td>
+            <td class="snnn file yellow">drops_drop drops_drops</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="snns plane yellow">generic term relocation</td>
+            <td class="snns file yellow">lifts_vector ( ⇧*[?] ? ≡ ? )</td>
+            <td class="snnn file yellow">lifts_lift_vector</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="nnns plane yellow">
+              <br />
+            </td>
+            <td class="snns file yellow">lifts ( ⇧*[?] ? ≡ ? )</td>
+            <td class="snnn file yellow">lifts_lift lifts_lifts</td>
+            <td class="snnn file yellow">
+              <br />
+            </td>
+            <td class="ssnn file yellow">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component yellow">
+              <br />
+            </td>
+            <td class="snns plane yellow">support for generic relocation</td>
+            <td class="snns file yellow">gr2 ( @⦃?,?⦄ ≡ ? )</td>
+            <td class="snnn file yellow">gr2_plus ( ? + ? )</td>
+            <td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td>
+            <td class="ssnn file yellow">gr2_gr2</td>
+          </tr>
+          <tr>
+            <td class="snns component orange">substitution</td>
+            <td class="snns plane orange">structural successor for closures</td>
+            <td class="snns file orange">fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )</td>
+            <td class="snnn file orange">fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
+            <td class="ssnn file orange">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component orange">
+              <br />
+            </td>
+            <td class="nnns plane orange">
+              <br />
+            </td>
+            <td class="snns file orange">fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
+            <td class="snnn file orange">
+              <br />
+            </td>
+            <td class="ssnn file orange">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component orange">
+              <br />
+            </td>
+            <td class="snns plane orange">global env. slicing</td>
+            <td class="snns file orange">gget ( ⇩[?] ? ≡ ? )</td>
+            <td class="snnn file orange">gget_gget</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
+            <td class="ssnn file orange">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component orange">
+              <br />
+            </td>
+            <td class="snns plane orange">contxt-sensitive extended ordinary substitution</td>
+            <td class="snns file orange">cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )</td>
+            <td class="snnn file orange">cpy_lift cpy_nlift cpy_cpy</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
+            <td class="ssnn file orange">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component orange">
+              <br />
+            </td>
+            <td class="snns plane orange">local env. ref. for extended substitution</td>
+            <td class="snns file orange">lsuby ( ? ⊑×[?,?] ? )</td>
+            <td class="snnn file orange">lsuby_lsuby</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
+            <td class="ssnn file orange">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component orange">
+              <br />
+            </td>
+            <td class="snns plane orange">pointwise extension of a relation</td>
+            <td class="snns file orange">lpx_sn</td>
+            <td class="snnn file orange">lpx_sn_alt lpx_sn_tc lpx_sn_drop lpx_sn_lpx_sn</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
+            <td class="ssnn file orange">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component orange">
+              <br />
+            </td>
+            <td class="snns plane orange">basic local env. slicing</td>
+            <td class="snns file orange">drop ( ⇩[?,?,?] ? ≡ ? )</td>
+            <td class="snnn file orange">drop_append drop_leq drop_drop</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
+            <td class="ssnn file orange">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component orange">
+              <br />
+            </td>
+            <td class="snns plane orange">basic term relocation</td>
+            <td class="snns file orange">lift_vector ( ⇧[?,?] ? ≡ ? )</td>
+            <td class="snnn file orange">lift_lift_vector</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
+            <td class="ssnn file orange">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component orange">
+              <br />
+            </td>
+            <td class="nnns plane orange">
+              <br />
+            </td>
+            <td class="snns file orange">lift ( ⇧[?,?] ? ≡ ? )</td>
+            <td class="snnn file orange">lift_neq lift_lift</td>
+            <td class="snnn file orange">
+              <br />
+            </td>
+            <td class="ssnn file orange">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="snns component red">grammar</td>
+            <td class="snns plane red">equivalence for local environments</td>
+            <td class="snns file red">leq ( ? ⩬[?,?] ? )</td>
+            <td class="snnn file red">leq_leq</td>
+            <td class="snnn file red">
+              <br />
+            </td>
+            <td class="ssnn file red">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component red">
+              <br />
+            </td>
+            <td class="snns plane red">same top term constructor</td>
+            <td class="snns file red">tstc ( ? ≂ ? )</td>
+            <td class="snnn file red">tstc_tstc tstc_vector</td>
+            <td class="snnn file red">
+              <br />
+            </td>
+            <td class="ssnn file red">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component red">
+              <br />
+            </td>
+            <td class="snns plane red">closures</td>
+            <td class="snns file red">cl_weight ( ♯{?,?,?} )</td>
+            <td class="snnn file red">cl_restricted_weight ( ♯{?,?} )</td>
+            <td class="snnn file red">
+              <br />
+            </td>
+            <td class="ssnn file red">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component red">
+              <br />
+            </td>
+            <td class="snns plane red">internal syntax</td>
+            <td class="snns file red">genv</td>
+            <td class="snnn file red">
+              <br />
+            </td>
+            <td class="snnn file red">
+              <br />
+            </td>
+            <td class="ssnn file red">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnns component red">
+              <br />
+            </td>
+            <td class="nnns plane red">
+              <br />
+            </td>
+            <td class="snns file red">lenv</td>
+            <td class="snnn file red">lenv_weight ( ♯{?} )</td>
+            <td class="snnn file red">lenv_length ( |?| )</td>
+            <td class="ssnn file red">lenv_append ( ? @@ ? )</td>
+          </tr>
+          <tr>
+            <td class="nnns component red">
+              <br />
+            </td>
+            <td class="nnns plane red">
+              <br />
+            </td>
+            <td class="snns file red">term</td>
+            <td class="snnn file red">term_weight ( ♯{?} )</td>
+            <td class="snnn file red">term_simple ( 𝐒⦃?⦄ )</td>
+            <td class="ssnn file red">term_vector</td>
+          </tr>
+          <tr>
+            <td class="nnns component red">
+              <br />
+            </td>
+            <td class="nnns plane red">
+              <br />
+            </td>
+            <td class="snns file red">item</td>
+            <td class="snnn file red">
+              <br />
+            </td>
+            <td class="snnn file red">
+              <br />
+            </td>
+            <td class="ssnn file red">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <td class="nnss component red">
+              <br />
+            </td>
+            <td class="snss plane red">external syntax</td>
+            <td class="snss file red">aarity</td>
+            <td class="snsn file red">
+              <br />
+            </td>
+            <td class="snsn file red">
+              <br />
+            </td>
+            <td class="sssn file 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,
+   <div xmlns:ld="http://lambdadelta.info/" class="head2sn" id="">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"><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: 2013-01-28T19:34:41+01:00</div>
+   <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">
+      <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: Sun, 13 Jul 2014 15:47:14 +0200</div>
 </body>
 </html>