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[helm.git] / helm / www / lambdadelta / basic_2.html
index d3cb6f28e0907430e7bc83826eb095517da14506..e3a69b03a9227da834d3dc86be104bcb8dbdb824 100644 (file)
         <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">221</td>
-            <td class="snns italic cyan">characters</td>
-            <td class="snnn right italic cyan">212361</td>
-            <td class="snns italic cyan">nodes</td>
-            <td class="ssnn right italic cyan">1046022</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">49</td>
+            <td class="snnn right italic green">92</td>
             <td class="snns italic green">lemmas</td>
-            <td class="snnn right italic green">691</td>
+            <td class="snnn right italic green">1085</td>
             <td class="snns italic green">total</td>
-            <td class="ssnn right italic green">740</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">29</td>
-            <td class="snss italic yellow">defined</td>
-            <td class="snsn right italic yellow">61</td>
-            <td class="snss italic yellow">total</td>
-            <td class="sssn right italic yellow">90</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>
    </li>
     </ul>
     <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>
     <ul xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="emph alpha">2016 April 16.</span>
-         Grammatical component reconstructed:
-         grammar, relocation, s_transition, s_computation, static
+         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">2014 January 20.</span>
-         Parametrized slicing of local environments
+         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 xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="emph alpha">2012 January 27.</span>
-         Support for abstract candidates of reducibility.
+         Generic candidates of reducibility.
    </li>
     </ul>
     <ul xmlns:ld="http://lambdadelta.info/">
         <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">
+            <td class="ssnn top gray">
               <br />
             </td>
-            <td class="ssnn top gray">
+          </tr>
+          <tr>
+            <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 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="nnns top capitalize italic sky">
+              <br />
+            </td>
+            <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="snns top capitalize italic cyan">rt-computation</td>
-            <td class="snns top italic cyan">uncounted context-sensitive rt-transition</td>
-            <td class="snns top cyan">cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )</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">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 cyan">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
-            <td class="snns top italic cyan">generic reducibility</td>
-            <td class="snns top cyan">lsubc ( ? ⊢ ? ⫃[?] ? )</td>
-            <td class="snnn top cyan">lsubc_drop lsubc_drops lsubc_lsubr lsubc_lsuba</td>
-            <td class="ssnn top cyan">
+            <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="nnns top capitalize italic cyan">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
-            <td class="nnns top italic cyan">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
-            <td class="snns top cyan">gcp</td>
-            <td class="snnn top cyan">gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
-            <td class="ssnn top cyan">gcp_aaa</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="snns top capitalize italic water">rt-transition</td>
-            <td class="snns top italic water">parallel qrst-rtransition</td>
-            <td class="snns top water">fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn top water">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
-            <td class="ssnn top water">
+            <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="nnns top capitalize italic water">
+            <td class="nnns top capitalize italic sky">
               <br />
             </td>
-            <td class="snns top italic water">t-bound context-sensitive rt-transition</td>
-            <td class="snns top water">lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
-            <td class="snnn top water">lfpr_length lfpr_drops lfpr_fqup lfpr_frees lfpr_aaa lfpr_lfpx lfpr_lfpr</td>
-            <td class="ssnn top water">
+            <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 water">
+            <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="nnns top italic water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top water">cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )</td>
-            <td class="snnn top water">cpr_drops</td>
-            <td class="ssnn top water">
+            <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="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 water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns top italic water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top water">cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
-            <td class="snnn top water">cpm_simple cpm_drops cpm_lsubr cpm_lfxs cpm_cpx</td>
-            <td class="ssnn top water">
+            <td class="snns top italic cyan">for binders</td>
+            <td class="snns top cyan">cpr_ext ( ⦃?,?⦄ ⊢ ? ➡[?] ? )</td>
+            <td class="ssnn top cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top italic water">uncounted context-sensitive rt-transition</td>
-            <td class="snns top water">cnx ( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )</td>
-            <td class="snnn top water">cnx_simple cnx_drops</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">cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )</td>
+            <td class="ssnn top cyan">cpr_drops</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns top italic water">
+            <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 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="snns top water">lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )</td>
-            <td class="snnn top water">lfpx_length lfpx_drops lfpx_fqup lfpx_frees lfpx_aaa</td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic 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 water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns top italic water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top water">cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )</td>
-            <td class="snnn top water">cpx_simple cpx_drops cpx_fqus cpx_lsubr cpx_lfxs cpx_lfdeq</td>
-            <td class="ssnn top water">
+            <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>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top italic water">counted context-sensitive rt-transition</td>
-            <td class="snns top water">cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )</td>
-            <td class="snnn top water">cpg_simple cpg_drops cpg_lsubr</td>
-            <td class="ssnn top water">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-          </tr>
-          <tr>
-            <td class="snns top capitalize italic green">static typing</td>
-            <td class="snns top italic green">atomic arity assignment</td>
-            <td class="snns top green">lsuba ( ? ⊢ ? ⫃⁝ ? )</td>
-            <td class="snnn top green">lsuba_drops lsuba_lsubr lsuba_aaa lsuba_lsuba</td>
-            <td class="ssnn top green">
+            <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="nnns top capitalize italic green">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="nnns top italic green">
+            <td class="nnns top capitalize italic cyan">
               <br />
             </td>
-            <td class="snns top green">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
-            <td class="snnn top green">aaa_drops aaa_fqus aaa_lfdeq aaa_aaa</td>
-            <td class="ssnn top green">
+            <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 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="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="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 green">
               <br />
             </td>
-            <td class="snns top italic green">degree-based equivalence on referred entries</td>
-            <td class="snns top green">ffdeq ( ⦃?,?,?⦄ ≡[?,?] ⦃?,?,?⦄ )</td>
-            <td class="snnn top green">ffdeq_fqup ffdeq_ffdeq</td>
-            <td class="ssnn top green">
+            <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 green">
               <br />
             </td>
-            <td class="nnns top italic green">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="snns top green">lfdeq ( ? ≡[?,?,?] ? )</td>
-            <td class="snnn top green">lfdeq_length lfdeq_fqup lfdeq_lfdeq</td>
+            <td class="snns top italic green">computation properties</td>
+            <td class="snns top green">gcp</td>
             <td class="ssnn top green">
               <br />
             </td>
             <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="snns top italic green">generic extension on referred entries</td>
-            <td class="snns top green">lfxs ( ? ⦻*[?,?] ? )</td>
-            <td class="snnn top green">lfxs_length lfxs_drops lfxs_fqup lfxs_lfxs</td>
-            <td class="ssnn top 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 green">
               <br />
             </td>
-            <td class="snns top italic green">context-sensitive free variables</td>
-            <td class="snns top green">lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )</td>
-            <td class="snnn top green">lsubf_frees</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">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
+            <td class="ssnn top green">aaa_drops aaa_fqus aaa_lfdeq aaa_aaa</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="nnns top italic green">
-              <br />
-            </td>
-            <td class="snns top green">frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )</td>
-            <td class="snnn top green">frees_weight frees_drops frees_fqup frees_frees</td>
-            <td class="ssnn top 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 green">
               <br />
             </td>
-            <td class="snns top italic green">restricted ref. for local env.</td>
-            <td class="snns top green">lsubr ( ? ⫃ ? )</td>
-            <td class="snnn top green">lsubr_length lsubr_drops lsubr_lsubr</td>
-            <td class="ssnn top green">
+            <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="snns top capitalize italic grass">s-computation</td>
-            <td class="snns top italic grass">iterated structural successor for closures</td>
-            <td class="snns top grass">fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )</td>
-            <td class="snnn top grass">fqus_weight fqus_drops fqus_fqup fqus_fqus</td>
-            <td class="ssnn top grass">
+            <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 grass">
-              <br />
-            </td>
-            <td class="nnns top italic grass">
-              <br />
-            </td>
-            <td class="snns top grass">fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )</td>
-            <td class="snnn top grass">fqup_weight fqup_drops fqup_fqup</td>
-            <td class="ssnn top grass">
+            <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="snns top capitalize italic yellow">s-transition</td>
-            <td class="snns top italic yellow">structural successor for closures</td>
-            <td class="snns top yellow">fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )</td>
-            <td class="snnn top yellow">fquq_length fquq_weight</td>
-            <td class="ssnn top yellow">
+            <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="nnns top capitalize italic yellow">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="nnns top italic yellow">
+            <td class="nnns top capitalize italic green">
               <br />
             </td>
-            <td class="snns top yellow">fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
-            <td class="snnn top yellow">fqu_length fqu_weight</td>
-            <td class="ssnn top yellow">
+            <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 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 orange">relocation</td>
-            <td class="snns top italic orange">generic slicing for local environments</td>
-            <td class="snns top orange">drops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )</td>
-            <td class="snnn top orange">
+            <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="ssnn top orange">
+            <td class="nnns top capitalize italic 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 orange">
+            <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 yellow">
               <br />
             </td>
-            <td class="nnns top italic orange">
+            <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="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="snnn top orange">drops_lstar drops_weight drops_length drops_ceq drops_lexs drops_lreq drops_drops</td>
-            <td class="ssnn top orange">
+            <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="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 orange">
               <br />
             </td>
-            <td class="snns top italic orange">generic relocation for terms</td>
-            <td class="snns top orange">lifts_vector ( ⬆*[?] ? ≡ ? )</td>
-            <td class="snnn top orange">lifts_lifts_vector</td>
-            <td class="ssnn top orange">
+            <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 orange">
               <br />
             </td>
-            <td class="nnns top italic orange">
+            <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="snnn top orange">lifts_simple lifts_weight lifts_tdeq lifts_lifts</td>
-            <td class="ssnn top orange">
-              <br />
-            </td>
+            <td class="ssnn top orange">lifts_simple lifts_weight lifts_tdeq lifts_lifts</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic orange">
               <br />
             </td>
-            <td class="snns top italic orange">ranged equivalence for local environments</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="snnn top orange">lreq_length lreq_lreq</td>
-            <td class="ssnn top orange">
+            <td class="ssnn top orange">lreq_length lreq_lreq</td>
+          </tr>
+          <tr>
+            <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 orange">
               <br />
             </td>
-            <td class="snns top italic orange">generic entrywise extension</td>
-            <td class="snns top orange">lexs ( ? ⦻*[?,?,?] ? )</td>
-            <td class="snnn top orange">lexs_length lexs_lexs</td>
-            <td class="ssnn top orange">
+            <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="snns top capitalize italic red">syntax</td>
-            <td class="snns top italic red">append for local environments</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="snnn top red">append_length</td>
-            <td class="ssnn top red">
+            <td class="ssnn top red">append_length</td>
+          </tr>
+          <tr>
+            <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 red">
               <br />
             </td>
-            <td class="snns top italic red">degree-based equivalence for terms</td>
-            <td class="snns top red">deq ( ? ≡[?,?] ? ) </td>
-            <td class="snnn top red">deq_deq</td>
+            <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>
             <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="ssnn top red">
+            <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 red">
               <br />
             </td>
-            <td class="snns top italic red">closures</td>
+            <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="snnn top red">
-              <br />
-            </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="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
             <td class="snns top red">cl_restricted_weight ( ♯{?,?} )</td>
-            <td class="snnn top red">
+            <td class="ssnn top red">
               <br />
             </td>
+          </tr>
+          <tr>
+            <td class="nnns top capitalize italic red">
+              <br />
+            </td>
+            <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>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic red">global environments</td>
-            <td class="snns top red">genv</td>
-            <td class="snnn top red">
+            <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 red">
+              <br />
+            </td>
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
+            <td class="snns top red">cext2</td>
             <td class="ssnn top red">
               <br />
             </td>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic red">local environments</td>
-            <td class="snns top red">lenv_length ( |?| )</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">lenv_length ( |?| )</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="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
             <td class="snns top red">lenv_weight ( ♯{?} )</td>
-            <td class="snnn top red">
-              <br />
-            </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="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
             <td class="snns top red">lenv</td>
-            <td class="snnn top red">
+            <td class="ssnn top red">
               <br />
             </td>
-            <td class="ssnn top red">
+          </tr>
+          <tr>
+            <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 red">
               <br />
             </td>
-            <td class="snns top italic red">terms</td>
-            <td class="snns top red">term_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">bind</td>
+            <td class="ssnn top red">bind_weight</td>
+          </tr>
+          <tr>
+            <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="nnns top italic 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="snnn top red">
-              <br />
-            </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="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
             <td class="snns top red">term_weight ( ♯{?} )</td>
-            <td class="snnn top red">
-              <br />
-            </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="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
             <td class="snns top red">term</td>
-            <td class="snnn top red">
-              <br />
-            </td>
             <td class="ssnn top red">
               <br />
             </td>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic red">items</td>
+            <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="snnn top red">
-              <br />
-            </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="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="snns top italic red" />
             <td class="snns top red">item_sh</td>
-            <td class="snnn top red">
-              <br />
-            </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="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="ssnn top red">
               <br />
             </td>
             <td class="nnss top capitalize italic red">
               <br />
             </td>
-            <td class="snss top italic red">atomic arities</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="sssn top red">
               <br />
             </td>
     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 19 Feb 2017 16:24:37 +0100</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Fri, 24 Nov 2017 21:00:01 +0100</div>
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