]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/www/lambdadelta/basic_2.html
- update in basic_2
[helm.git] / helm / www / lambdadelta / basic_2.html
index 02e46805234a5ebbe79de8bca1f4b8105e6b3d8e..fa518c4894c9fbb071ca35144bda4b3ba37e67e5 100644 (file)
@@ -25,7 +25,7 @@
     </div>
 
 
-   <div xmlns:ld="http://lambdadelta.info/" class="head2">Summary of the Specification</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"
       <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">
+            <td class="snns capitalize italic gray">category</td>
+            <td class="snns italic gray">objects</td>
+            <td class="snnn right italic gray">
               <br />
             </td>
-            <td class="snnn plane grey">
+            <td class="snnn italic gray">
               <br />
             </td>
-            <td class="snnn number grey">
+            <td class="snnn right italic gray">
               <br />
             </td>
-            <td class="snnn plane grey">
+            <td class="snnn italic gray">
               <br />
             </td>
-            <td class="ssnn number grey">
+            <td class="ssnn right italic gray">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="snns component cyan">sizes</td>
-            <td class="snns plane cyan">files</td>
-            <td class="snnn number cyan">347  </td>
-            <td class="snns plane cyan">characters</td>
-            <td class="snnn number cyan">629824</td>
-            <td class="snns plane cyan">nodes</td>
-            <td class="ssnn number cyan">1745922</td>
+            <td class="snns capitalize italic cyan">sizes</td>
+            <td class="snns italic cyan">files</td>
+            <td class="snnn right italic cyan">358</td>
+            <td class="snns italic cyan">characters</td>
+            <td class="snnn right italic cyan">430633</td>
+            <td class="snns italic cyan">nodes</td>
+            <td class="ssnn right italic cyan">1858385</td>
           </tr>
           <tr>
-            <td class="snns component green">propositions</td>
-            <td class="snns plane green">theorems</td>
-            <td class="snnn number green">114</td>
-            <td class="snns plane green">lemmas</td>
-            <td class="snnn number green">1267</td>
-            <td class="snns plane green">total</td>
-            <td class="ssnn number green">1381</td>
+            <td class="snns capitalize italic green">propositions</td>
+            <td class="snns italic green">theorems</td>
+            <td class="snnn right italic green">130</td>
+            <td class="snns italic green">lemmas</td>
+            <td class="snnn right italic green">1283</td>
+            <td class="snns italic green">total</td>
+            <td class="ssnn right italic green">1413</td>
           </tr>
           <tr>
-            <td class="snss component yellow">concepts</td>
-            <td class="snss plane yellow">declared</td>
-            <td class="snsn number yellow">53</td>
-            <td class="snss plane yellow">defined</td>
-            <td class="snsn number yellow">80</td>
-            <td class="snss plane yellow">total</td>
-            <td class="sssn number yellow">133</td>
+            <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>
           </tr>
         </tbody>
       </table>
     </div>
+
+   <div xmlns:ld="http://lambdadelta.info/" class="head3sn" id="">Stage "B"</div>
    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="date">In progress.</span>
          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/">
       <li>
-        <span class="date">In progress.</span>
-         Closure of native validity
-        for context-sensitive extended computation.
+        <span class="date">2014 September 9.</span>
+         Iterated static type assignment defined (more elegantly)
+         as a primitive notion.
+   </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>
+         Strong qrst-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
+         Lazy equivalence on local environments
+        addded as q-step to rst-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
+         Parametrized slicing of local environments
         comprises both versions of this operation
         (one from basic_1, the other used in basic_2 till now).
    </li>
    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="date">2013 July 27.</span>
-         Reaxiomatized β-reductum as in extended β-reduction
+         Reaxiomatized β-reductum as in rt-reduction.
    </li>
     </ul>
    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="date">2013 July 20.</span>
-         Context-sensitive extended strong normalization
+         Context-sensitive strong rt-normalization
          for simply typed terms.
    </li>
     </ul>
       <li>
         <span class="date">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/">
    </li>
     </ul>
 
-   <div xmlns:ld="http://lambdadelta.info/" class="head2">Logical Structure of the Specification</div>
+   <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.
       <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">
+            <td class="snns top capitalize italic gray">component</td>
+            <td class="snns top italic gray">plane</td>
+            <td class="snns top gray">files</td>
+            <td class="snnn top gray">
               <br />
             </td>
-            <td class="snnn file grey">
+            <td class="snnn top gray">
               <br />
             </td>
-            <td class="ssnn file grey">
+            <td class="ssnn top gray">
               <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_ldrop lsubsv_lsubd lsubsv_lsuba lsubsv_lsstas lsubsv_cpds lsubsv_cpcs lsubsv_snv</td>
-            <td class="snnn file prune">
+            <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="ssnn file prune">
+            <td class="snnn top wine">
+              <br />
+            </td>
+            <td class="ssnn top wine">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component prune">
+            <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="snns plane prune">stratified native validity</td>
-            <td class="snns file prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )</td>
-            <td class="snnn file prune">snv_lift snv_da_lpr snv_aaa snv_lsstas snv_lsstas_lpr snv_lpr snv_cpcs</td>
-            <td class="snnn file prune">
+            <td class="snnn top magenta">
               <br />
             </td>
-            <td class="ssnn file prune">
+            <td class="ssnn top magenta">
               <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">
+            <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">
               <br />
             </td>
-            <td class="ssnn file blue">
+            <td class="ssnn top prune">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component blue">
+            <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">
               <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">
+            <td class="snnn top prune">
               <br />
             </td>
-            <td class="ssnn file blue">
+            <td class="ssnn top prune">
               <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">
+            <td class="nnns top capitalize italic prune">
               <br />
             </td>
-            <td class="ssnn file sky">
+            <td class="nnns top italic prune">
               <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">
+            <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="snnn file cyan">
+            <td class="ssnn top prune">
               <br />
             </td>
-            <td class="ssnn file cyan">
+          </tr>
+          <tr>
+            <td class="snns top capitalize italic blue">equivalence</td>
+            <td class="snns top italic blue">decomposed rt-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">
+              <br />
+            </td>
+            <td class="ssnn top blue">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic blue">
               <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">
+            <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">
               <br />
             </td>
-            <td class="ssnn file cyan">
+            <td class="ssnn top blue">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <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">
               <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">
+            <td class="ssnn top sky">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="snns top capitalize italic cyan">computation</td>
+            <td class="snns top italic cyan">evaluation for context-sensitive rt-reduction</td>
+            <td class="snns top cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )</td>
+            <td class="snnn top 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">
+            <td class="snnn top cyan">
               <br />
             </td>
-            <td class="ssnn file cyan">
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns plane cyan">
+            <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="snns file cyan">lsx ( ? ⊢ ⬊*[?,?,?,?] ? )</td>
-            <td class="snnn file cyan">lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )</td>
-            <td class="snnn file cyan">lsx_ldrop lsx_lpx lsx_lpxs llsx_csx</td>
-            <td class="ssnn file cyan">
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <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>
-            <td class="nnns plane cyan">
+          </tr>
+          <tr>
+            <td class="nnns top capitalize italic 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">
+            <td class="snns top italic cyan">strongly normalizing rt-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 file cyan">
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns plane cyan">
+            <td class="nnns top italic 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">
+            <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>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic 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">
+            <td class="nnns top italic cyan">
               <br />
             </td>
-            <td class="ssnn file cyan">
+            <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>
-          </tr>
-          <tr>
-            <td class="nnns component cyan">
+            <td class="ssnn top cyan">
               <br />
             </td>
-            <td class="nnns plane cyan">
+          </tr>
+          <tr>
+            <td class="nnns top capitalize italic 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">
+            <td class="nnns top italic cyan">
               <br />
             </td>
-            <td class="ssnn file cyan">
+            <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="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns plane cyan">
+            <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="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">
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns plane cyan">
+            <td class="nnns top italic 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">
+            <td class="snns top cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn top cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn top cyan">fpbs_lift fpbs_aaa fpbs_fpb fpbs_fpbs</td>
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic 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">
+            <td class="snns top italic cyan">decomposed rt-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 file cyan">
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic 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_ldrop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
-            <td class="snnn file cyan">
+            <td class="snns top italic cyan">context-sensitive rt-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 file cyan">
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns plane cyan">
+            <td class="nnns top italic 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">
+            <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 file cyan">
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic 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_ldrop lprs_cprs lprs_lprs</td>
-            <td class="snnn file cyan">
+            <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 file cyan">
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns plane cyan">
+            <td class="nnns top italic 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">
+            <td class="snns top cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
+            <td class="snnn top cyan">cprs_lift cprs_cprs</td>
+            <td class="snnn top cyan">
               <br />
             </td>
-            <td class="ssnn file cyan">
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <td class="nnns top capitalize italic 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">
+            <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 file cyan">
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component cyan">
+            <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="ssnn top 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">
+          </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">fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn top water">fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn top water">fpbq_lift fpbq_aaa</td>
+            <td class="ssnn top water">
               <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">
+            <td class="nnns top capitalize italic water">
               <br />
             </td>
-            <td class="ssnn file water">
+            <td class="nnns top italic water">
+              <br />
+            </td>
+            <td class="snns top water">fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
+            <td class="snnn top water">fpb_lift fpb_lleq fpb_fleq</td>
+            <td class="snnn top water">
+              <br />
+            </td>
+            <td class="ssnn top water">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
+            <td class="nnns top capitalize italic 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">
+            <td class="snns top italic water">normal forms for context-sensitive rt-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 file water">
+            <td class="ssnn top water">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
+            <td class="nnns top capitalize italic 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_ldrop lpx_lleq lpx_aaa</td>
-            <td class="snnn file water">
+            <td class="snns top italic water">context-sensitive rt-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">
               <br />
             </td>
-            <td class="ssnn file water">
+            <td class="ssnn top water">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
+            <td class="nnns top capitalize italic water">
               <br />
             </td>
-            <td class="nnns plane water">
+            <td class="nnns top italic 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">
+            <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">
               <br />
             </td>
-            <td class="ssnn file water">
+            <td class="ssnn top water">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
+            <td class="nnns top capitalize italic 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">
+            <td class="snns top italic water">irreducible forms for context-sensitive rt-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 file water">
+            <td class="ssnn top water">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
+            <td class="nnns top capitalize italic 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">
+            <td class="snns top italic water">reducible forms for context-sensitive rt-reduction</td>
+            <td class="snns top water">crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )</td>
+            <td class="snnn top water">crx_lift</td>
+            <td class="snnn top water">
               <br />
             </td>
-            <td class="ssnn file water">
+            <td class="ssnn top water">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
+            <td class="nnns top capitalize italic 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">
+            <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 file water">
+            <td class="ssnn top water">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
+            <td class="nnns top capitalize italic 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_ldrop lpr_lpr</td>
-            <td class="snnn file water">
+            <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">
               <br />
             </td>
-            <td class="ssnn file water">
+            <td class="ssnn top water">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
+            <td class="nnns top capitalize italic water">
               <br />
             </td>
-            <td class="nnns plane water">
+            <td class="nnns top italic 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">
+            <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 file water">
+            <td class="ssnn top water">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
+            <td class="nnns top capitalize italic 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">
+            <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 file water">
+            <td class="ssnn top water">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
+            <td class="nnns top capitalize italic 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">
+            <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 file water">
+            <td class="ssnn top 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">
+            <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 file green">
+            <td class="snnn top green">
               <br />
             </td>
-            <td class="ssnn file green">
+            <td class="ssnn top green">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component green">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="snns plane green">iterated static type assignment</td>
-            <td class="snns file green">lsstas ( ⦃?,?⦄ ⊢ ? •*[?,?,?] ? )</td>
-            <td class="snnn file green">lsstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?,?] ? )</td>
-            <td class="snnn file green">lsstas_lift lsstas_aaa lsstas_lsstas</td>
-            <td class="ssnn file green">
+            <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>
-          </tr>
-          <tr>
-            <td class="snns component grass">static typing</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="ssnn file grass">
+            <td class="ssnn top green">
               <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_da aaa_ssta aaa_aaa</td>
-            <td class="snnn file grass">
+            <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 file grass">
+            <td class="ssnn top grass">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component grass">
+            <td class="nnns top capitalize italic 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_lpx_sn ssta_ssta</td>
-            <td class="snnn file grass">
+            <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 file grass">
+            <td class="ssnn top grass">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component grass">
+            <td class="nnns top capitalize italic grass">
               <br />
             </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">
+            <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 file grass">
+            <td class="ssnn top grass">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component grass">
+            <td class="nnns top capitalize italic 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_da</td>
-            <td class="snnn file grass">
+            <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 file grass">
+            <td class="ssnn top grass">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component grass">
+            <td class="nnns top capitalize italic 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">
+            <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">
               <br />
             </td>
-            <td class="ssnn file grass">
+            <td class="ssnn top grass">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component grass">
+            <td class="nnns top capitalize italic 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">
+            <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 file grass">
+            <td class="ssnn top grass">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="snns component yellow">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">
+            <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 file yellow">
+            <td class="ssnn top yellow">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component yellow">
+            <td class="nnns top capitalize italic yellow">
               <br />
             </td>
-            <td class="nnns plane yellow">
+            <td class="nnns top italic yellow">
               <br />
             </td>
-            <td class="snns file yellow">lleq ( ? ⋕[?,?] ? )</td>
-            <td class="snnn file yellow">lleq_alt lleq_leq lleq_ldrop lleq_fqus lleq_lleq</td>
-            <td class="snnn file yellow">
+            <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">
               <br />
             </td>
-            <td class="ssnn file yellow">
+            <td class="ssnn top yellow">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component yellow">
+            <td class="nnns top capitalize italic 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_alt2 llpx_sn_tc llpx_sn_leq llpx_sn_ldrop llpx_sn_lpx_sn</td>
-            <td class="snnn file yellow">
+            <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">
               <br />
             </td>
-            <td class="ssnn file yellow">
+            <td class="ssnn top 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">
+            <td class="nnns top capitalize italic yellow">
               <br />
             </td>
-            <td class="snnn file yellow">
+            <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 file yellow">
+            <td class="ssnn top yellow">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component yellow">
+            <td class="nnns top capitalize italic yellow">
               <br />
             </td>
-            <td class="snns plane yellow">context-sensitive exclusion from free variables</td>
-            <td class="snns file yellow">cofrees ( ? ⊢ ? ~ϵ 𝐅*[?]⦃?⦄ )</td>
-            <td class="snnn file yellow">cofrees_alt cofrees_lift</td>
-            <td class="snnn file yellow">
+            <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 file yellow">
+            <td class="ssnn top yellow">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component yellow">
+            <td class="nnns top capitalize italic 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">
+            <td class="snns top italic yellow">contxt-sensitive multiple rt-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">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component yellow">
+            <td class="nnns top capitalize italic 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">
+            <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 file yellow">
+            <td class="ssnn top yellow">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component yellow">
+            <td class="nnns top capitalize italic yellow">
               <br />
             </td>
-            <td class="nnns plane yellow">
+            <td class="nnns top italic yellow">
               <br />
             </td>
-            <td class="snns file yellow">fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )</td>
-            <td class="snnn file yellow">fqup_fqup</td>
-            <td class="snnn file yellow">
+            <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 file yellow">
+            <td class="ssnn top yellow">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component yellow">
+            <td class="nnns top capitalize italic yellow">
               <br />
             </td>
-            <td class="snns plane yellow">iterated 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">
+            <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">
               <br />
             </td>
-            <td class="ssnn file yellow">
+            <td class="ssnn top yellow">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component yellow">
+            <td class="nnns top capitalize italic 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">
+            <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">
               <br />
             </td>
-            <td class="ssnn file yellow">
+            <td class="ssnn top yellow">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component yellow">
+            <td class="nnns top capitalize italic yellow">
               <br />
             </td>
-            <td class="nnns plane yellow">
+            <td class="nnns top italic 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">
+            <td class="snns top yellow">lifts ( ⬆*[?] ? ≡ ? )</td>
+            <td class="snnn top yellow">lifts_lift lifts_lifts</td>
+            <td class="snnn top yellow">
               <br />
             </td>
-            <td class="ssnn file yellow">
+            <td class="ssnn top yellow">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component yellow">
+            <td class="nnns top capitalize italic 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>
+            <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 component orange">relocation</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">
+            <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">
               <br />
             </td>
-            <td class="ssnn file orange">
+            <td class="ssnn top orange">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component orange">
+            <td class="nnns top capitalize italic orange">
               <br />
             </td>
-            <td class="nnns plane orange">
+            <td class="nnns top italic orange">
               <br />
             </td>
-            <td class="snns file orange">fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
-            <td class="snnn file orange">
+            <td class="snns top orange">fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
+            <td class="snnn top orange">
               <br />
             </td>
-            <td class="snnn file orange">
+            <td class="snnn top orange">
               <br />
             </td>
-            <td class="ssnn file orange">
+            <td class="ssnn top orange">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component orange">
+            <td class="nnns top capitalize italic 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">
+            <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 file orange">
+            <td class="ssnn top orange">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component orange">
+            <td class="nnns top capitalize italic 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">
+            <td class="snns top italic orange">contxt-sensitive ordinary rt-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">
               <br />
             </td>
-            <td class="ssnn file orange">
+            <td class="ssnn top orange">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component orange">
+            <td class="nnns top capitalize italic 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">
+            <td class="snns top italic orange">local env. ref. for rt-substitution</td>
+            <td class="snns top orange">lsuby ( ? ⊆[?,?] ? )</td>
+            <td class="snnn top orange">lsuby_lsuby</td>
+            <td class="snnn top orange">
               <br />
             </td>
-            <td class="ssnn file orange">
+            <td class="ssnn top orange">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component orange">
+            <td class="nnns top capitalize italic 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_ldrop lpx_sn_lpx_sn</td>
-            <td class="snnn file orange">
+            <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">
               <br />
             </td>
-            <td class="ssnn file orange">
+            <td class="ssnn top orange">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component orange">
+            <td class="nnns top capitalize italic 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_leq ldrop_ldrop</td>
-            <td class="snnn file orange">
+            <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">
               <br />
             </td>
-            <td class="ssnn file orange">
+            <td class="ssnn top orange">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component orange">
+            <td class="nnns top capitalize italic 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">
+            <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 file orange">
+            <td class="ssnn top orange">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component orange">
+            <td class="nnns top capitalize italic orange">
               <br />
             </td>
-            <td class="nnns plane orange">
+            <td class="nnns top italic 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">
+            <td class="snns top orange">lift ( ⬆[?,?] ? ≡ ? )</td>
+            <td class="snnn top orange">lift_neq lift_lift</td>
+            <td class="snnn top orange">
               <br />
             </td>
-            <td class="ssnn file orange">
+            <td class="ssnn top 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">
+            <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">
               <br />
             </td>
-            <td class="ssnn file red">
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component red">
+            <td class="nnns top capitalize italic 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">
+            <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">
               <br />
             </td>
-            <td class="ssnn file red">
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component red">
+            <td class="nnns top capitalize italic 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">
+            <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">
               <br />
             </td>
-            <td class="ssnn file red">
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component red">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns plane red">internal syntax</td>
-            <td class="snns file red">genv</td>
-            <td class="snnn file red">
+            <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 file red">
+            <td class="snnn top red">
               <br />
             </td>
-            <td class="ssnn file red">
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component red">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="nnns plane red">
+            <td class="nnns top italic 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>
+            <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 component red">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="nnns plane red">
+            <td class="nnns top italic 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>
+            <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 component red">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="nnns plane red">
+            <td class="nnns top italic red">
               <br />
             </td>
-            <td class="snns file red">item</td>
-            <td class="snnn file red">
+            <td class="snns top red">item</td>
+            <td class="snnn top red">
               <br />
             </td>
-            <td class="snnn file red">
+            <td class="snnn top red">
               <br />
             </td>
-            <td class="ssnn file red">
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnss component red">
+            <td class="nnss top capitalize italic red">
               <br />
             </td>
-            <td class="snss plane red">external syntax</td>
-            <td class="snss file red">aarity</td>
-            <td class="snsn file red">
+            <td class="snss top italic red">external syntax</td>
+            <td class="snss top red">aarity</td>
+            <td class="snsn top red">
               <br />
             </td>
-            <td class="snsn file red">
+            <td class="snsn top red">
               <br />
             </td>
-            <td class="sssn file red">
+            <td class="sssn top red">
               <br />
             </td>
           </tr>
       </table>
     </div>
 
-   <div xmlns:ld="http://lambdadelta.info/" class="head2">Physical Structure of the Specification</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 xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Fri, 23 May 2014 19:32:08 +0200</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 05 Oct 2014 16:38:32 +0200</div>
 </body>
 </html>