]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/www/lambdadelta/basic_2.html
helena: warning removed and modifications for λΥP exportation
[helm.git] / helm / www / lambdadelta / basic_2.html
index 2661fa63cb23dcda80ff8d5f4eeb9a001208b4a1..e3a69b03a9227da834d3dc86be104bcb8dbdb824 100644 (file)
@@ -6,8 +6,8 @@
     <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>
+    <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" />
   <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" />
+        <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/basic_2/ (λδ version 2)</div>
+    <div class="head1">cic:/matita/lambdadelta/basic_2/ (core λδ version 2)</div>
     <div class="spacer">
-      <img class="rule" alt="[Spacer]" title="lambdadelta rainbow rule" src="http://lambdadelta.info/images/rainbow.png" />
+      <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="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
+    <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>
+    <!--   
+   <section>System's Syntax and Behavior</section>
+   <body>This is a summary of the "block structure"
+         of the System's syntactic items and reductions.
+   </body>
+   <table name="basic_2_blk"/>
+   <body>* In terms only.
+         ** In terms and local environments only.
+         *** In global environments only.
+         **** Sort level k in terms only.
+   </body>
+-->
+    <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.
-         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 xmlns:ld="http://lambdadelta.info/" class="text">
+    <div xmlns:ld="http://lambdadelta.info/" class="text">
       <table cellpadding="4" cellspacing="0">
         <tbody>
           <tr>
             <td class="snns capitalize italic gray">category</td>
-            <td class="snns italic gray">objects</td>
+            <td class="snns italic gray">units</td>
             <td class="snnn right italic gray">
               <br />
             </td>
             </td>
           </tr>
           <tr>
-            <td class="snns capitalize italic cyan">sizes</td>
-            <td class="snns italic cyan">files</td>
-            <td class="snnn right italic cyan">361</td>
-            <td class="snns italic cyan">characters</td>
-            <td class="snnn right italic cyan">431938</td>
-            <td class="snns italic cyan">nodes</td>
-            <td class="ssnn right italic cyan">1861135</td>
+            <td class="snns capitalize italic water">sizes</td>
+            <td class="snns italic water">characters (files)</td>
+            <td class="snnn right italic water">315581 (309)</td>
+            <td class="snns italic water">nodes (objects)</td>
+            <td class="snnn right italic water">1458870 (1431)</td>
+            <td class="snns italic water">intrinsic loss factor</td>
+            <td class="ssnn right italic water">4.6</td>
           </tr>
           <tr>
             <td class="snns capitalize italic green">propositions</td>
             <td class="snns italic green">theorems</td>
-            <td class="snnn right italic green">128</td>
+            <td class="snnn right italic green">92</td>
             <td class="snns italic green">lemmas</td>
-            <td class="snnn right italic green">1289</td>
+            <td class="snnn right italic green">1085</td>
             <td class="snns italic green">total</td>
-            <td class="ssnn right italic green">1417</td>
+            <td class="ssnn right italic green">1177</td>
           </tr>
           <tr>
-            <td class="snss capitalize italic yellow">concepts</td>
-            <td class="snss italic yellow">declared</td>
-            <td class="snsn right italic yellow">54</td>
-            <td class="snss italic yellow">defined</td>
-            <td class="snsn right italic yellow">89</td>
-            <td class="snss italic yellow">total</td>
-            <td class="sssn right italic yellow">143</td>
+            <td class="snss capitalize italic grass">concepts</td>
+            <td class="snss italic grass">declared</td>
+            <td class="snsn right italic grass">34</td>
+            <td class="snss italic grass">defined</td>
+            <td class="snsn right italic grass">93</td>
+            <td class="snss italic grass">total</td>
+            <td class="sssn right italic grass">127</td>
           </tr>
         </tbody>
       </table>
     </div>
-
-   <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="">Stage "B"</div>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="B">Stage "B"</div>
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">In progress.</span>
+        <span class="emph alpha">Ongoing.</span>
          Context-sensitive subject equivalence
          for native type assignment.
    </li>
     </ul>
-
-   <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="">Stage "A": "Weakening the Applicability Condition"</div>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="A2">Stage "A2": "Extending the Applicability Condition"</div>
+    <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="emph alpha">2017 October 17.</span>
+         Exclusion binder in local environments.
+         Syntactic component updated:
+         syntax, relocation, s_transition, s_computation, static, i_static.
+   </li>
+    </ul>
+    <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="emph alpha">2017 April 16.</span>
+         Strong rt-normalization
+         for simply typed terms
+         (anniversary milestone).
+   </li>
+    </ul>
+    <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="emph alpha">2017 March 16.</span>
+         First behavioral component reconstructed:
+         rt_transition.
+   </li>
+    </ul>
+    <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="emph alpha">2017 February 19.</span>
+         Generic candidates of reducibility.
+   </li>
+    </ul>
+    <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="emph alpha">2017 January 17.</span>
+         Confluence for parallel r-transition on referred entries of local environments.
+   </li>
+    </ul>
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2014 September 9.</span>
+        <span class="emph alpha">2016 September 15.</span>
+         Confluence for context-sensitive parallel r-transition on terms.
+   </li>
+    </ul>
+    <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="emph alpha">2016 April 16.</span>
+         Syntactic component reconstructed:
+         syntax, relocation, s_transition, s_computation, static
+         (anniversary milestone).
+   </li>
+    </ul>
+    <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="emph alpha">2016 March 25.</span>
+         Relocation with reference transforming maps (rtmap).
+   </li>
+    </ul>
+    <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="emph alpha">2015 October 9.</span>
+         λδ version 2A2 is started.
+   </li>
+    </ul>
+    <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="A1">Stage "A1": "Extending the Applicability Condition"</div>
+    <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="emph delta">2015 August 27.</span>
+         λδ version 2A1 appears too complex and is dismissed.
+   </li>
+    </ul>
+    <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="emph gamma">2014 October 28.</span>
+         λδ version 2A1 is released.
+   </li>
+    </ul>
+    <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="emph beta">2014 September 9.</span>
          Iterated static type assignment defined (more elegantly)
          as a primitive notion.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2014 June 18.</span>
+        <span class="emph beta">2014 June 18.</span>
          Preservation of stratified native validity
          for context-sensitive computation on terms.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2014 June 9.</span>
-         "Big tree" strong normalization
+        <span class="emph alpha">2014 June 9.</span>
+         Strong qrst-normalization
          for simply typed terms.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <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
+        <span class="emph alpha">2014 April 16.</span>
+         Lazy equivalence on local environments
+        added as q-step to rst-computation on closures
          (anniversary milestone).
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2014 January 20.</span>
-         Parametrized slicing for local environments
+        <span class="emph alpha">2014 January 20.</span>
+         Parametrized slicing on 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/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2013 August 7.</span>
+        <span class="emph alpha">2013 August 7.</span>
          Passive support for global environments.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2013 July 27.</span>
-         Reaxiomatized β-reductum as in extended β-reduction
+        <span class="emph alpha">2013 July 27.</span>
+         Reaxiomatized β-reductum as in rt-reduction.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2013 July 20.</span>
-         Context-sensitive extended strong normalization
+        <span class="emph alpha">2013 July 20.</span>
+         Context-sensitive strong rt-normalization
          for simply typed terms.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2013 April 16.</span>
+        <span class="emph alpha">2013 April 16.</span>
          Reaxiomatized substitution and reduction
          commute with respect to subclosure
          (anniversary milestone).
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2013 March 16.</span>
+        <span class="emph alpha">2013 March 16.</span>
          Mutual recursive preservation of stratified native validity
-         for "big tree" computation on closures.
+         for rst-computation on closures.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2012 October 16.</span>
+        <span class="emph alpha">2012 October 16.</span>
          Confluence for context-free parallel reduction on closures.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2012 July 26.</span>
+        <span class="emph alpha">2012 July 26.</span>
          Term binders polarized to control ζ-reduction (not released).
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2012 April 16.</span>
+        <span class="emph alpha">2012 April 16.</span>
          Context-sensitive subject equivalence
          for atomic arity assignment
          (anniversary milestone).
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2012 March 15.</span>
+        <span class="emph alpha">2012 March 15.</span>
          Context-sensitive strong normalization
          for simply typed terms.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2012 January 27.</span>
-         Support for abstract candidates of reducibility.
+        <span class="emph alpha">2012 January 27.</span>
+         Generic candidates of reducibility.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2011 September 21.</span>
+        <span class="emph alpha">2011 September 21.</span>
          Confluence for context-sensitive parallel reduction on terms.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2011 September 6.</span>
+        <span class="emph alpha">2011 September 6.</span>
          Confluence for context-free parallel reduction on terms.
    </li>
     </ul>
-   <ul xmlns:ld="http://lambdadelta.info/">
+    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
-        <span class="date">2011 April 17.</span>
-         Specification starts.
+        <span class="emph alpha">2011 April 17.</span>
+         λδ version 2 is started.
    </li>
     </ul>
-
-   <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.
-         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 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">
+    <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 capitalize italic gray">section</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="ssnn top gray">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="snns top capitalize italic wine">examples</td>
-            <td class="snns top italic wine">terms with special features</td>
-            <td class="snns top wine">ex_sta_ldec ex_cpr_omega ex_fpbg_refl</td>
-            <td class="snnn top wine">
-              <br />
-            </td>
-            <td class="snnn top wine">
-              <br />
-            </td>
-            <td class="ssnn top wine">
-              <br />
-            </td>
+            <td class="snns top capitalize italic blue">rt-conversion</td>
+            <td class="snns top capitalize italic blue">context-sensitive parallel r-conversion</td>
+            <td class="snns top italic blue">for terms</td>
+            <td class="snns top blue">cpc ( ⦃?,?⦄ ⊢ ? ⬌[?] ? )</td>
+            <td class="ssnn top blue">cpc_cpc</td>
           </tr>
           <tr>
-            <td class="snns top capitalize italic magenta" />
-            <td class="snns top italic magenta" />
-            <td class="snns top magenta" />
-            <td class="snnn top magenta">
-              <br />
-            </td>
-            <td class="snnn top magenta">
-              <br />
-            </td>
-            <td class="ssnn top magenta">
-              <br />
-            </td>
+            <td class="snns top capitalize italic sky">rt-computation</td>
+            <td class="snns top capitalize italic sky">uncounted context-sensitive parallel rt-computation</td>
+            <td class="snns top italic sky">refinement for lenvs</td>
+            <td class="snns top sky">lsubsx ( ? ⊢ ? ⊆ⓧ[?,?,?] ? )</td>
+            <td class="ssnn top sky">lsubsx_lfsx lsubsx_lsubsx</td>
           </tr>
           <tr>
-            <td class="snns top capitalize italic prune">dynamic typing</td>
-            <td class="snns top italic prune">local env. ref. for stratified native validity</td>
-            <td class="snns top prune">lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )</td>
-            <td class="snnn top prune">lsubsv_lsuba lsubsv_lsubd lsubsv_lstas lsubsv_scpds lsubsv_cpcs lsubsv_snv</td>
-            <td class="snnn top prune">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
-            <td class="ssnn top prune">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
+            <td class="snns top italic sky">strongly normalizing for lenvs on referred entries</td>
+            <td class="snns top sky">lfsx ( ? ⊢ ⬈*[?,?,?] 𝐒⦃?⦄ )</td>
+            <td class="ssnn top sky">lfsx_drops lfsx_fqup lfsx_lfpxs lfsx_lfsx</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic prune">
-              <br />
-            </td>
-            <td class="snns top italic prune">stratified native validity</td>
-            <td class="snns top prune">shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )</td>
-            <td class="snnn top prune">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
-            <td class="snnn top prune">
-              <br />
-            </td>
-            <td class="ssnn top prune">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
+            <td class="snns top italic sky">strongly normalizing for term vectors</td>
+            <td class="snns top sky">csx_vector ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )</td>
+            <td class="ssnn top sky">csx_cnx_vector csx_csx_vector</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic prune">
-              <br />
-            </td>
-            <td class="nnns top italic prune">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
-            <td class="snns top prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )</td>
-            <td class="snnn top prune">snv_lift snv_aaa snv_da_lpr snv_lstas snv_lstas_lpr snv_lpr snv_scpes snv_preserve</td>
-            <td class="snnn top prune">
-              <br />
-            </td>
-            <td class="ssnn top prune">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
+            <td class="snns top italic sky">strongly normalizing for terms</td>
+            <td class="snns top sky">csx ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )</td>
+            <td class="ssnn top sky">csx_simple csx_simple_theq csx_drops csx_lsubr csx_lfdeq csx_aaa csx_gcp csx_gcr csx_lfpx csx_cnx csx_cpxs csx_lfpxs csx_csx</td>
           </tr>
           <tr>
-            <td class="snns top capitalize italic blue">equivalence</td>
-            <td class="snns top italic blue">decomposed extended equivalence</td>
-            <td class="snns top blue">scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )</td>
-            <td class="snnn top blue">scpes_aaa scpes_cpcs scpes_scpes</td>
-            <td class="snnn top blue">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
-            <td class="ssnn top blue">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
+            <td class="snns top italic sky">for lenvs on referred entries</td>
+            <td class="snns top sky">lfpxs ( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )</td>
+            <td class="ssnn top sky">lfpxs_length lfpxs_drops lfpxs_fqup lfpxs_lfdeq lfpxs_aaa lfpxs_cpxs lfpxs_lpxs lfpxs_lfpxs</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic blue">
-              <br />
-            </td>
-            <td class="snns top italic blue">context-sensitive equivalence</td>
-            <td class="snns top blue">cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )</td>
-            <td class="snnn top blue">cpcs_aaa cpcs_cprs cpcs_cpcs</td>
-            <td class="snnn top blue">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
-            <td class="ssnn top blue">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="snns top capitalize italic sky">conversion</td>
-            <td class="snns top italic sky">context-sensitive conversion</td>
-            <td class="snns top sky">cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )</td>
-            <td class="snnn top sky">cpc_cpc</td>
-            <td class="snnn top sky">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
+            <td class="snns top italic sky">for lenvs on all entries</td>
+            <td class="snns top sky">lpxs ( ⦃?,?⦄ ⊢ ⬈*[?] ? )</td>
             <td class="ssnn top sky">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="snns top capitalize italic cyan">computation</td>
-            <td class="snns top italic cyan">evaluation for context-sensitive extended reduction</td>
-            <td class="snns top cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )</td>
-            <td class="snnn top cyan">
-              <br />
-            </td>
-            <td class="snnn top cyan">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
-            <td class="ssnn top cyan">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
+            <td class="snns top italic sky">for terms</td>
+            <td class="snns top sky">cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )</td>
+            <td class="ssnn top sky">cpxs_tdeq cpxs_theq cpxs_theq_vector cpxs_drops cpxs_fqus cpxs_lsubr cpxs_lfdeq cpxs_aaa cpxs_lpx cpxs_lfpx cpxs_cnx cpxs_cpxs</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic cyan">
-              <br />
-            </td>
-            <td class="snns top italic cyan">evaluation for context-sensitive reduction</td>
-            <td class="snns top cyan">cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )</td>
-            <td class="snnn top cyan">cpre_cpre</td>
-            <td class="snnn top cyan">
-              <br />
-            </td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
+            <td class="snns top capitalize italic cyan">rt-transition</td>
+            <td class="snns top capitalize italic cyan">uncounted parallel rst-transition</td>
+            <td class="snns top italic cyan">for closures</td>
+            <td class="snns top cyan">fpbq ( ⦃?,?,?⦄ ≽[?] ⦃?,?,?⦄ )</td>
+            <td class="ssnn top cyan">fpbq_aaa</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top italic cyan">strongly normalizing qrst-computation</td>
-            <td class="snns top cyan">fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )</td>
-            <td class="snnn top cyan">fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )</td>
-            <td class="snnn top cyan">fsb_aaa fsb_csx</td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
-          </tr>
-          <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top italic cyan">strongly normalizing extended computation</td>
-            <td class="snns top cyan">lcosx ( ? ⊢ ~⬊*[?,?,?] ? )</td>
-            <td class="snnn top cyan">lcosx_cpx</td>
-            <td class="snnn top cyan">
-              <br />
-            </td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
+            <td class="snns top italic cyan">proper for closures</td>
+            <td class="snns top cyan">fpb ( ⦃?,?,?⦄ ≻[?] ⦃?,?,?⦄ )</td>
+            <td class="ssnn top cyan">fpb_lfdeq</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns top italic cyan">
-              <br />
-            </td>
-            <td class="snns top cyan">lsx ( ? ⊢ ⬊*[?,?,?,?] ? )</td>
-            <td class="snnn top cyan">lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )</td>
-            <td class="snnn top cyan">lsx_drop lsx_lpx lsx_lpxs llsx_csx</td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
+            <td class="snns top capitalize italic cyan">context-sensitive parallel r-transition</td>
+            <td class="snns top italic cyan">for lenvs on referred entries</td>
+            <td class="snns top cyan">lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
+            <td class="ssnn top cyan">lfpr_length lfpr_drops lfpr_fquq lfpr_fqup lfpr_frees lfpr_aaa lfpr_lfpx lfpr_lfpr</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns top italic cyan">
-              <br />
-            </td>
-            <td class="snns top cyan">csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
-            <td class="snnn top cyan">csx_tsts_vector csx_aaa</td>
-            <td class="snnn top cyan">
-              <br />
-            </td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
-          </tr>
-          <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns top italic cyan">
-              <br />
-            </td>
-            <td class="snns top cyan">csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
-            <td class="snnn top cyan">csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )</td>
-            <td class="snnn top cyan">csx_lift csx_lleq csx_lpx csx_lpxs csx_fpbs</td>
+            <td class="snns top italic cyan">for binders</td>
+            <td class="snns top cyan">cpr_ext ( ⦃?,?⦄ ⊢ ? ➡[?] ? )</td>
             <td class="ssnn top cyan">
               <br />
             </td>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top italic cyan">parallel qrst-computation</td>
-            <td class="snns top cyan">fpbg ( ⦃?,?,?⦄ &gt;≡[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn top cyan">fpbg_lift fpbg_fleq fpbg_fpbs fpbg_fpbg</td>
-            <td class="snnn top cyan">
-              <br />
-            </td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
-          </tr>
-          <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns top italic cyan">
-              <br />
-            </td>
-            <td class="snns top cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn top cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn top cyan">fpbs_lift fpbs_fleq fpbs_aaa fpbs_fpbu fpbs_fpbc fpbs_fpbs</td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
+            <td class="snns top italic cyan">for terms</td>
+            <td class="snns top cyan">cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )</td>
+            <td class="ssnn top cyan">cpr_drops</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top italic cyan">decomposed extended computation</td>
-            <td class="snns top cyan">scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )</td>
-            <td class="snnn top cyan">scpds_lift scpds_aaa scpds_scpds</td>
-            <td class="snnn top cyan">
-              <br />
-            </td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
+            <td class="snns top capitalize italic cyan">t-bound context-sensitive parallel rt-transition</td>
+            <td class="snns top italic cyan">for terms</td>
+            <td class="snns top cyan">cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
+            <td class="ssnn top cyan">cpm_simple cpm_drops cpm_lsubr cpm_lfxs cpm_cpx</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top italic cyan">context-sensitive extended computation</td>
-            <td class="snns top cyan">lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )</td>
-            <td class="snnn top cyan">lpxs_drop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
-            <td class="snnn top cyan">
-              <br />
-            </td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
+            <td class="snns top capitalize italic cyan">uncounted context-sensitive parallel rt-transition</td>
+            <td class="snns top italic cyan">normal form for terms</td>
+            <td class="snns top cyan">cnx ( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )</td>
+            <td class="ssnn top cyan">cnx_simple cnx_drops cnx_cnx</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns top italic cyan">
-              <br />
-            </td>
-            <td class="snns top cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )</td>
-            <td class="snnn top cyan">cpxs_tsts cpxs_tsts_vector cpxs_leq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs</td>
-            <td class="snnn top cyan">
-              <br />
-            </td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
-          </tr>
-          <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top italic cyan">context-sensitive computation</td>
-            <td class="snns top cyan">lprs ( ⦃?,?⦄ ⊢ ➡* ? )</td>
-            <td class="snnn top cyan">lprs_drop lprs_cprs lprs_lprs</td>
-            <td class="snnn top cyan">
-              <br />
-            </td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
+            <td class="snns top italic cyan">for lenvs on referred entries</td>
+            <td class="snns top cyan">lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )</td>
+            <td class="ssnn top cyan">lfpx_length lfpx_drops lfpx_fqup lfpx_frees lfpx_lfdeq lfpx_aaa lfpx_cpx lfpx_lfpx</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns top italic cyan">
-              <br />
-            </td>
-            <td class="snns top cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
-            <td class="snnn top cyan">cprs_lift cprs_cprs</td>
-            <td class="snnn top cyan">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
+            <td class="snns top italic cyan">for lenvs on all entries</td>
+            <td class="snns top cyan">lpx ( ⦃?,?⦄ ⊢ ⬈[?] ? )</td>
             <td class="ssnn top cyan">
               <br />
             </td>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top italic cyan">local env. ref. for generic reducibility</td>
-            <td class="snns top cyan">lsubc ( ? ⊢ ? ⫃[?] ? )</td>
-            <td class="snnn top cyan">lsubc_drop lsubc_drops lsubc_lsuba</td>
-            <td class="snnn top cyan">
-              <br />
-            </td>
-            <td class="ssnn top cyan">
-              <br />
-            </td>
-          </tr>
-          <tr>
             <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top italic cyan">support for generic computation properties</td>
-            <td class="snns top cyan">gcp</td>
-            <td class="snnn top cyan">gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
-            <td class="snnn top cyan">gcp_aaa</td>
+            <td class="snns top italic cyan">for binders</td>
+            <td class="snns top cyan">cpx_ext ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )</td>
             <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="snns top capitalize italic water">reduction</td>
-            <td class="snns top italic water">parallel qrst-reduction</td>
-            <td class="snns top water">fpbc ( ⦃?,?,?⦄ ≻≡[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn top water">fpbc_fleq</td>
-            <td class="snnn top water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
+            <td class="snns top italic cyan">for terms</td>
+            <td class="snns top cyan">cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )</td>
+            <td class="ssnn top cyan">cpx_simple cpx_drops cpx_fqus cpx_lsubr cpx_lfxs cpx_lfeq</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="nnns top italic water">
-              <br />
-            </td>
-            <td class="snns top water">fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn top water">fpbu_lift fpbu_lleq fpbu_fleq</td>
-            <td class="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
+            <td class="snns top capitalize italic cyan">counted context-sensitive parallel rt-transition</td>
+            <td class="snns top italic cyan">for terms</td>
+            <td class="snns top cyan">cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )</td>
+            <td class="ssnn top cyan">cpg_simple cpg_drops cpg_lsubr</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="nnns top italic water">
-              <br />
-            </td>
-            <td class="snns top water">fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn top water">fpb_lift fpb_aaa</td>
-            <td class="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
-              <br />
-            </td>
+            <td class="snns top capitalize italic water">iterated static typing</td>
+            <td class="snns top capitalize italic water">iterated generic extension of a context-sensitive relation</td>
+            <td class="snns top italic water">for lenvs on referred entries</td>
+            <td class="snns top water">tc_lfxs ( ? ⦻**[?,?] ? )</td>
+            <td class="ssnn top water">tc_lfxs_length tc_lfxs_lex tc_lfxs_drops tc_lfxs_fqup tc_lfxs_tc_lfxs</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="snns top italic water">normal forms for context-sensitive extended reduction</td>
-            <td class="snns top water">cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )</td>
-            <td class="snnn top water">cnx_lift cnx_crx cnx_cix</td>
-            <td class="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
-              <br />
-            </td>
+            <td class="snns top capitalize italic green">static typing</td>
+            <td class="snns top capitalize italic green">generic reducibility</td>
+            <td class="snns top italic green">restricted refinement for lenvs</td>
+            <td class="snns top green">lsubc ( ? ⊢ ? ⫃[?] ? )</td>
+            <td class="ssnn top green">lsubc_drops lsubc_lsubr lsubc_lsuba</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="snns top italic water">context-sensitive extended reduction</td>
-            <td class="snns top water">lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
-            <td class="snnn top water">lpx_drop lpx_frees lpx_lleq lpx_aaa</td>
-            <td class="snnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
+            <td class="snns top italic green">candidates</td>
+            <td class="snns top green">gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
+            <td class="ssnn top green">gcp_aaa</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="nnns top italic water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="snns top water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
-            <td class="snnn top water">cpx_leq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix</td>
-            <td class="snnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="ssnn top water">
+            <td class="snns top italic green">computation properties</td>
+            <td class="snns top green">gcp</td>
+            <td class="ssnn top green">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="snns top italic water">irreducible forms for context-sensitive extended reduction</td>
-            <td class="snns top water">cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )</td>
-            <td class="snnn top water">cix_lift</td>
-            <td class="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
+            <td class="snns top capitalize italic green">atomic arity assignment</td>
+            <td class="snns top italic green">restricted refinement for lenvs</td>
+            <td class="snns top green">lsuba ( ? ⊢ ? ⫃⁝ ? )</td>
+            <td class="ssnn top green">lsuba_drops lsuba_lsubr lsuba_aaa lsuba_lsuba</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="snns top italic water">reducible forms for context-sensitive extended reduction</td>
-            <td class="snns top water">crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )</td>
-            <td class="snnn top water">crx_lift</td>
-            <td class="snnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
+            <td class="snns top italic green">for terms</td>
+            <td class="snns top green">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
+            <td class="ssnn top green">aaa_drops aaa_fqus aaa_lfdeq aaa_aaa</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="snns top italic water">normal forms for context-sensitive reduction</td>
-            <td class="snns top water">cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )</td>
-            <td class="snnn top water">cnr_lift cnr_crr cnr_cir</td>
-            <td class="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
+            <td class="snns top capitalize italic green">degree-based equivalence</td>
+            <td class="snns top italic green">for closures on referred entries</td>
+            <td class="snns top green">ffdeq ( ⦃?,?,?⦄ ≛[?,?] ⦃?,?,?⦄ )</td>
+            <td class="ssnn top green">ffdeq_fqup ffdeq_ffdeq</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="snns top italic water">context-sensitive reduction</td>
-            <td class="snns top water">lpr ( ⦃?,?⦄ ⊢ ➡ ? )</td>
-            <td class="snnn top water">lpr_drop lpr_lpr</td>
-            <td class="snnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
+            <td class="snns top italic green">for lenvs on referred entries</td>
+            <td class="snns top green">lfdeq ( ? ≛[?,?,?] ? )</td>
+            <td class="ssnn top green">lfdeq_length lfdeq_drops lfdeq_fqup lfdeq_fqus lfdeq_lfdeq</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="nnns top italic water">
-              <br />
-            </td>
-            <td class="snns top water">cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )</td>
-            <td class="snnn top water">cpr_lift cpr_llpx_sn cpr_cir</td>
-            <td class="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
+            <td class="snns top capitalize italic green">syntactic equivalence</td>
+            <td class="snns top italic green">for lenvs on referred entries</td>
+            <td class="snns top green">lfeq ( ? ≡[?] ? )</td>
+            <td class="ssnn top green">lfeq_fqup lfeq_lfeq</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="snns top italic water">irreducible forms for context-sensitive reduction</td>
-            <td class="snns top water">cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )</td>
-            <td class="snnn top water">cir_lift</td>
-            <td class="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
+            <td class="snns top capitalize italic green">generic extension of a context-sensitive relation</td>
+            <td class="snns top italic green">for lenvs on referred entries</td>
+            <td class="snns top green">lfxs ( ? ⦻*[?,?] ? )</td>
+            <td class="ssnn top green">lfxs_length lfxs_drops lfxs_fqup lfxs_lfxs</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
-              <br />
-            </td>
-            <td class="snns top italic water">reducible forms for context-sensitive reduction</td>
-            <td class="snns top water">crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )</td>
-            <td class="snnn top water">crr_lift</td>
-            <td class="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
+            <td class="snns top capitalize italic green">context-sensitive free variables</td>
+            <td class="snns top italic green">restricted refinement for lenvs</td>
+            <td class="snns top green">lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )</td>
+            <td class="ssnn top green">lsubf_lsubr lsubf_frees lsubf_lsubf</td>
           </tr>
           <tr>
-            <td class="snns top capitalize italic green">unfold</td>
-            <td class="snns top italic green">unfold</td>
-            <td class="snns top green">unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )</td>
-            <td class="snnn top green">
-              <br />
-            </td>
-            <td class="snnn top green">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="ssnn top green">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
+            <td class="snns top italic green">for terms</td>
+            <td class="snns top green">frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )</td>
+            <td class="ssnn top green">frees_drops frees_fqup frees_frees</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="snns top italic green">iterated static type assignment</td>
-            <td class="snns top green">lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )</td>
-            <td class="snnn top green">lstas_lift lstas_llpx_sn.ma lstas_aaa lstas_da lstas_lstas</td>
-            <td class="snnn top green">
-              <br />
-            </td>
-            <td class="ssnn top green">
-              <br />
-            </td>
+            <td class="snns top capitalize italic green">local environments</td>
+            <td class="snns top italic green">restricted refinement</td>
+            <td class="snns top green">lsubr ( ? ⫃ ? )</td>
+            <td class="ssnn top green">lsubr_length lsubr_drops lsubr_lsubr</td>
           </tr>
           <tr>
-            <td class="snns top capitalize italic grass">static typing</td>
-            <td class="snns top italic grass">local env. ref. for degree assignment</td>
-            <td class="snns top grass">lsubd ( ? ⊢ ? ⫃▪[?,?] ? )</td>
-            <td class="snnn top grass">lsubd_da lsubd_lsubd</td>
-            <td class="snnn top grass">
-              <br />
-            </td>
-            <td class="ssnn top grass">
-              <br />
-            </td>
+            <td class="snns top capitalize italic grass">s-computation</td>
+            <td class="snns top capitalize italic grass">iterated structural successor</td>
+            <td class="snns top italic grass">for closures</td>
+            <td class="snns top grass">fqus ( ⦃?,?,?⦄ ⊐*[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )</td>
+            <td class="ssnn top grass">fqus_weight fqus_drops fqus_fqup fqus_fqus</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic grass">
               <br />
             </td>
-            <td class="snns top italic grass">degree assignment</td>
-            <td class="snns top grass">da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )</td>
-            <td class="snnn top grass">da_lift da_aaa da_da</td>
-            <td class="snnn top grass">
-              <br />
-            </td>
-            <td class="ssnn top grass">
-              <br />
-            </td>
-          </tr>
-          <tr>
             <td class="nnns top capitalize italic grass">
               <br />
             </td>
-            <td class="snns top italic grass">parameters</td>
-            <td class="snns top grass">sh</td>
-            <td class="snnn top grass">sd</td>
-            <td class="snnn top grass">
-              <br />
-            </td>
-            <td class="ssnn top grass">
-              <br />
-            </td>
+            <td class="snns top italic grass">proper for closures</td>
+            <td class="snns top grass">fqup ( ⦃?,?,?⦄ ⊐+[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )</td>
+            <td class="ssnn top grass">fqup_weight fqup_drops fqup_fqup</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic grass">
-              <br />
-            </td>
-            <td class="snns top italic grass">local env. ref. for atomic arity assignment</td>
-            <td class="snns top grass">lsuba ( ? ⊢ ? ⫃⁝ ? )</td>
-            <td class="snnn top grass">lsuba_aaa lsuba_lsuba</td>
-            <td class="snnn top grass">
-              <br />
-            </td>
-            <td class="ssnn top grass">
-              <br />
-            </td>
+            <td class="snns top capitalize italic yellow">s-transition</td>
+            <td class="snns top capitalize italic yellow">structural successor</td>
+            <td class="snns top italic yellow">for closures</td>
+            <td class="snns top yellow">fquq ( ⦃?,?,?⦄ ⊐⸮[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )</td>
+            <td class="ssnn top yellow">fquq_length fquq_weight</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic grass">
-              <br />
-            </td>
-            <td class="snns top italic grass">atomic arity assignment</td>
-            <td class="snns top grass">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
-            <td class="snnn top grass">aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_aaa</td>
-            <td class="snnn top grass">
+            <td class="nnns top capitalize italic yellow">
               <br />
             </td>
-            <td class="ssnn top grass">
+            <td class="nnns top capitalize italic yellow">
               <br />
             </td>
+            <td class="snns top italic yellow">proper for closures</td>
+            <td class="snns top yellow">fqu ( ⦃?,?,?⦄ ⊐[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
+            <td class="ssnn top yellow">fqu_length fqu_weight</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic grass">
-              <br />
-            </td>
-            <td class="snns top italic grass">restricted local env. ref.</td>
-            <td class="snns top grass">lsubr ( ? ⫃ ? )</td>
-            <td class="snnn top grass">lsubr_lsubr</td>
-            <td class="snnn top grass">
-              <br />
-            </td>
-            <td class="ssnn top grass">
-              <br />
-            </td>
+            <td class="snns top capitalize italic orange">relocation</td>
+            <td class="snns top capitalize italic orange">generic slicing</td>
+            <td class="snns top italic orange">for lenvs</td>
+            <td class="snns top orange">drops ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )</td>
+            <td class="ssnn top orange">drops_lstar drops_weight drops_length drops_cext2 drops_lexs drops_lreq drops_drops drops_vector</td>
           </tr>
           <tr>
-            <td class="snns top capitalize italic yellow">multiple substitution</td>
-            <td class="snns top italic yellow">lazy equivalence</td>
-            <td class="snns top yellow">fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )</td>
-            <td class="snnn top yellow">fleq_fleq</td>
-            <td class="snnn top yellow">
-              <br />
-            </td>
-            <td class="ssnn top yellow">
+            <td class="nnns top capitalize italic orange">
               <br />
             </td>
+            <td class="snns top capitalize italic orange">generic relocation</td>
+            <td class="snns top italic orange">for binders</td>
+            <td class="snns top orange">lifts_bind ( ⬆*[?] ? ≡ ? )</td>
+            <td class="ssnn top orange">lifts_weight_bind lifts_lifts_bind</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">lleq ( ? ≡[?,?] ? )</td>
-            <td class="snnn top yellow">lleq_alt lleq_alt_rec lleq_leq lleq_drop lleq_fqus lleq_llor lleq_lleq</td>
-            <td class="snnn top yellow">
+            <td class="nnns top capitalize italic orange">
               <br />
             </td>
-            <td class="ssnn top yellow">
+            <td class="nnns top capitalize italic orange">
               <br />
             </td>
+            <td class="snns top italic orange">for term vectors</td>
+            <td class="snns top orange">lifts_vector ( ⬆*[?] ? ≡ ? )</td>
+            <td class="ssnn top orange">lifts_lifts_vector</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic yellow">
-              <br />
-            </td>
-            <td class="snns top italic yellow">lazy pointwise extension of a relation</td>
-            <td class="snns top yellow">llpx_sn</td>
-            <td class="snnn top 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 top yellow">
+            <td class="nnns top capitalize italic orange">
               <br />
             </td>
-            <td class="ssnn top yellow">
+            <td class="nnns top capitalize italic orange">
               <br />
             </td>
+            <td class="snns top italic orange">for terms</td>
+            <td class="snns top orange">lifts ( ⬆*[?] ? ≡ ? )</td>
+            <td class="ssnn top orange">lifts_simple lifts_weight lifts_tdeq lifts_lifts</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic yellow">
-              <br />
-            </td>
-            <td class="snns top italic yellow">pointwise union for local environments</td>
-            <td class="snns top yellow">llor ( ? ⋓[?,?] ? ≡ ? )</td>
-            <td class="snnn top yellow">llor_alt llor_drop</td>
-            <td class="snnn top yellow">
-              <br />
-            </td>
-            <td class="ssnn top yellow">
+            <td class="nnns top capitalize italic orange">
               <br />
             </td>
+            <td class="snns top capitalize italic orange">syntactic equivalence</td>
+            <td class="snns top italic orange">for lenvs on selected entries</td>
+            <td class="snns top orange">lreq ( ? ≡[?] ? )</td>
+            <td class="ssnn top orange">lreq_length lreq_lreq</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic yellow">
-              <br />
-            </td>
-            <td class="snns top italic yellow">context-sensitive exclusion from free variables</td>
-            <td class="snns top yellow">frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )</td>
-            <td class="snnn top yellow">frees_append frees_leq frees_lift</td>
-            <td class="snnn top yellow">
-              <br />
-            </td>
-            <td class="ssnn top yellow">
+            <td class="nnns top capitalize italic orange">
               <br />
             </td>
+            <td class="snns top capitalize italic orange">generic entrywise extension</td>
+            <td class="snns top italic orange">for lenvs of one contex-sensitive relation</td>
+            <td class="snns top orange">lex ( ? ⦻[?] ? )</td>
+            <td class="ssnn top orange">lex_tc</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic yellow">
+            <td class="nnns top capitalize italic orange">
               <br />
             </td>
-            <td class="snns top italic yellow">contxt-sensitive extended multiple substitution</td>
-            <td class="snns top yellow">cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )</td>
-            <td class="snnn top yellow">cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )</td>
-            <td class="snnn top yellow">cpys_lift cpys_cpys</td>
-            <td class="ssnn top yellow">
+            <td class="nnns top capitalize italic orange">
               <br />
             </td>
+            <td class="snns top italic orange">for lenvs of two contex-sensitive relations</td>
+            <td class="snns top orange">lexs ( ? ⦻*[?,?,?] ? )</td>
+            <td class="ssnn top orange">lexs_tc lexs_length lexs_lexs</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic yellow">
-              <br />
-            </td>
-            <td class="snns top italic yellow">iterated structural successor for closures</td>
-            <td class="snns top yellow">fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )</td>
-            <td class="snnn top yellow">fqus_alt fqus_fqus</td>
-            <td class="snnn top yellow">
-              <br />
-            </td>
-            <td class="ssnn top yellow">
-              <br />
-            </td>
+            <td class="snns top capitalize italic red">syntax</td>
+            <td class="snns top capitalize italic red">append for local environments</td>
+            <td class="snns top italic red" />
+            <td class="snns top red">append ( ? @@ ? )</td>
+            <td class="ssnn top red">append_length</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">fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )</td>
-            <td class="snnn top yellow">fqup_fqup</td>
-            <td class="snnn top yellow">
-              <br />
-            </td>
-            <td class="ssnn top yellow">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top capitalize italic red">head equivalence for terms</td>
+            <td class="snns top italic red" />
+            <td class="snns top red">theq ( ? ⩳[?,?] ? )</td>
+            <td class="ssnn top red">theq_simple theq_tdeq theq_theq theq_simple_vector</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic yellow">
-              <br />
-            </td>
-            <td class="snns top italic yellow">iterated local env. slicing</td>
-            <td class="snns top yellow">drops ( ⬇*[?,?] ? ≡ ? )</td>
-            <td class="snnn top yellow">drops_drop drops_drops</td>
-            <td class="snnn top yellow">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="ssnn top yellow">
+            <td class="snns top capitalize italic red">degree-based equivalence</td>
+            <td class="snns top italic red" />
+            <td class="snns top red">tdeq_ext ( ? ≛[?,?] ? ) ( ? ⊢ ? ≛[?,?] ? )</td>
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic yellow">
-              <br />
-            </td>
-            <td class="snns top italic yellow">generic term relocation</td>
-            <td class="snns top yellow">lifts_vector ( ⬆*[?] ? ≡ ? )</td>
-            <td class="snnn top yellow">lifts_lift_vector</td>
-            <td class="snnn top yellow">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="ssnn top yellow">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
+            <td class="snns top red">tdeq ( ? ≛[?,?] ? )</td>
+            <td class="ssnn top red">tdeq_tdeq</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">lifts ( ⬆*[?] ? ≡ ? )</td>
-            <td class="snnn top yellow">lifts_lift lifts_lifts</td>
-            <td class="snnn top yellow">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="ssnn top yellow">
+            <td class="snns top capitalize italic red">closures</td>
+            <td class="snns top italic red" />
+            <td class="snns top red">cl_weight ( ♯{?,?,?} )</td>
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic yellow">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic yellow">support for multiple relocation</td>
-            <td class="snns top yellow">mr2 ( @⦃?,?⦄ ≡ ? )</td>
-            <td class="snnn top yellow">mr2_plus ( ? + ? )</td>
-            <td class="snnn top yellow">mr2_minus ( ? ▭ ? ≡ ? )</td>
-            <td class="ssnn top yellow">mr2_mr2</td>
-          </tr>
-          <tr>
-            <td class="snns top capitalize italic orange">substitution</td>
-            <td class="snns top italic orange">structural successor for closures</td>
-            <td class="snns top orange">fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )</td>
-            <td class="snnn top orange">fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )</td>
-            <td class="snnn top orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="ssnn top orange">
+            <td class="snns top italic red" />
+            <td class="snns top red">cl_restricted_weight ( ♯{?,?} )</td>
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic orange">
-              <br />
-            </td>
-            <td class="nnns top italic orange">
-              <br />
-            </td>
-            <td class="snns top orange">fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
-            <td class="snnn top orange">
-              <br />
-            </td>
-            <td class="snnn top orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="ssnn top orange">
+            <td class="snns top capitalize italic red">global environments</td>
+            <td class="snns top italic red" />
+            <td class="snns top red">genv</td>
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic orange">
-              <br />
-            </td>
-            <td class="snns top italic orange">global env. slicing</td>
-            <td class="snns top orange">gget ( ⬇[?] ? ≡ ? )</td>
-            <td class="snnn top orange">gget_gget</td>
-            <td class="snnn top orange">
-              <br />
-            </td>
-            <td class="ssnn top orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top capitalize italic red">local environments</td>
+            <td class="snns top italic red" />
+            <td class="snns top red">ceq_ext</td>
+            <td class="ssnn top red">ceq_ext_ceq_ext</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic orange">contxt-sensitive extended ordinary substitution</td>
-            <td class="snns top orange">cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )</td>
-            <td class="snnn top orange">cpy_lift cpy_nlift cpy_cpy</td>
-            <td class="snnn top orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="ssnn top orange">
+            <td class="snns top italic red" />
+            <td class="snns top red">cext2</td>
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic orange">local env. ref. for extended substitution</td>
-            <td class="snns top orange">lsuby ( ? ⊆[?,?] ? )</td>
-            <td class="snnn top orange">lsuby_lsuby</td>
-            <td class="snnn top orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="ssnn top orange">
+            <td class="snns top italic red" />
+            <td class="snns top red">lenv_length ( |?| )</td>
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic orange">pointwise extension of a relation</td>
-            <td class="snns top orange">lpx_sn</td>
-            <td class="snnn top orange">lpx_sn_alt lpx_sn_tc lpx_sn_drop lpx_sn_lpx_sn</td>
-            <td class="snnn top orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="ssnn top orange">
+            <td class="snns top italic red" />
+            <td class="snns top red">lenv_weight ( ♯{?} )</td>
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic orange">basic local env. slicing</td>
-            <td class="snns top orange">drop ( ⬇[?,?,?] ? ≡ ? )</td>
-            <td class="snnn top orange">drop_append drop_leq drop_drop</td>
-            <td class="snnn top orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="ssnn top orange">
+            <td class="snns top italic red" />
+            <td class="snns top red">lenv</td>
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic orange">
-              <br />
-            </td>
-            <td class="snns top italic orange">basic term relocation</td>
-            <td class="snns top orange">lift_vector ( ⬆[?,?] ? ≡ ? )</td>
-            <td class="snnn top orange">lift_lift_vector</td>
-            <td class="snnn top orange">
-              <br />
-            </td>
-            <td class="ssnn top orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top capitalize italic red">binders for local environments</td>
+            <td class="snns top italic red" />
+            <td class="snns top red">ext2</td>
+            <td class="ssnn top red">ext2_tc ext2_ext2</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic orange">
-              <br />
-            </td>
-            <td class="nnns top italic orange">
-              <br />
-            </td>
-            <td class="snns top orange">lift ( ⬆[?,?] ? ≡ ? )</td>
-            <td class="snnn top orange">lift_neq lift_lift</td>
-            <td class="snnn top orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="ssnn top orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
+            <td class="snns top red">bind</td>
+            <td class="ssnn top red">bind_weight</td>
           </tr>
           <tr>
-            <td class="snns top capitalize italic red">grammar</td>
-            <td class="snns top italic red">equivalence for local environments</td>
-            <td class="snns top red">leq ( ? ⩬[?,?] ? )</td>
-            <td class="snnn top red">leq_leq</td>
-            <td class="snnn top red">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top capitalize italic red">terms</td>
+            <td class="snns top italic red" />
+            <td class="snns top red">term_vector ( Ⓐ?.? )</td>
             <td class="ssnn top red">
               <br />
             </td>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic red">same top term structure</td>
-            <td class="snns top red">tsts ( ? ≂ ? )</td>
-            <td class="snnn top red">tsts_tsts tsts_vector</td>
-            <td class="snnn top red">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
+            <td class="snns top red">term_simple ( 𝐒⦃?⦄ )</td>
             <td class="ssnn top red">
               <br />
             </td>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic red">closures</td>
-            <td class="snns top red">cl_weight ( ♯{?,?,?} )</td>
-            <td class="snnn top red">cl_restricted_weight ( ♯{?,?} )</td>
-            <td class="snnn top red">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
+            <td class="snns top red">term_weight ( ♯{?} )</td>
             <td class="ssnn top red">
               <br />
             </td>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic red">internal syntax</td>
-            <td class="snns top red">genv</td>
-            <td class="snnn top red">
-              <br />
-            </td>
-            <td class="snnn top red">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
+            <td class="snns top red">term</td>
             <td class="ssnn top red">
               <br />
             </td>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="nnns top italic red">
+            <td class="snns top capitalize italic red">items</td>
+            <td class="snns top italic red" />
+            <td class="snns top red">item_sd</td>
+            <td class="ssnn top red">
               <br />
             </td>
-            <td class="snns top red">lenv</td>
-            <td class="snnn top red">lenv_weight ( ♯{?} )</td>
-            <td class="snnn top red">lenv_length ( |?| )</td>
-            <td class="ssnn top red">lenv_append ( ? @@ ? )</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="nnns top italic red">
+            <td class="nnns top capitalize italic red">
+              <br />
+            </td>
+            <td class="snns top italic red" />
+            <td class="snns top red">item_sh</td>
+            <td class="ssnn top red">
               <br />
             </td>
-            <td class="snns top red">term</td>
-            <td class="snnn top red">term_weight ( ♯{?} )</td>
-            <td class="snnn top red">term_simple ( 𝐒⦃?⦄ )</td>
-            <td class="ssnn top red">term_vector ( Ⓐ?.? )</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="nnns top italic red">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
             <td class="snns top red">item</td>
-            <td class="snnn top red">
-              <br />
-            </td>
-            <td class="snnn top red">
-              <br />
-            </td>
             <td class="ssnn top red">
               <br />
             </td>
             <td class="nnss top capitalize italic red">
               <br />
             </td>
-            <td class="snss top italic red">external syntax</td>
+            <td class="snss top capitalize italic red">atomic arities</td>
+            <td class="snss top italic red" />
             <td class="snss top red">aarity</td>
-            <td class="snsn top red">
-              <br />
-            </td>
-            <td class="snsn top red">
-              <br />
-            </td>
             <td class="sssn top red">
               <br />
             </td>
         </tbody>
       </table>
     </div>
-
-   <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 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 xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Thu, 02 Oct 2014 22:32:45 +0200</div>
-</body>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Fri, 24 Nov 2017 21:00:01 +0100</div>
+  </body>
 </html>