]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/www/lambdadelta/basic_2.html
update in basic_2 and apps_2
[helm.git] / helm / www / lambdadelta / basic_2.html
index 38fbd5bfd78e74ef9bc8ddc9697cc8bd24404d2a..9d7141b4c24da005415d14528f9eebfa5acb2a71 100644 (file)
           <tr>
             <td class="snns component cyan">sizes</td>
             <td class="snns plane cyan">files</td>
-            <td class="snnn number cyan">254  </td>
+            <td class="snnn number cyan">169  </td>
             <td class="snns plane cyan">characters</td>
-            <td class="snnn number cyan">485487</td>
+            <td class="snnn number cyan">348328</td>
             <td class="snns plane cyan">nodes</td>
-            <td class="ssnn number cyan">1296792</td>
+            <td class="ssnn number cyan">970177</td>
           </tr>
           <tr>
             <td class="snns component green">propositions</td>
             <td class="snns plane green">theorems</td>
-            <td class="snnn number green">85</td>
+            <td class="snnn number green">75</td>
             <td class="snns plane green">lemmas</td>
-            <td class="snnn number green">1122</td>
+            <td class="snnn number green">716</td>
             <td class="snns plane green">total</td>
-            <td class="ssnn number green">1207</td>
+            <td class="ssnn number green">791</td>
           </tr>
           <tr>
             <td class="snss component yellow">concepts</td>
             <td class="snss plane yellow">declared</td>
-            <td class="snsn number yellow">46</td>
+            <td class="snsn number yellow">42</td>
             <td class="snss plane yellow">defined</td>
-            <td class="snsn number yellow">82</td>
+            <td class="snsn number yellow">66</td>
             <td class="snss plane yellow">total</td>
-            <td class="sssn number yellow">128</td>
+            <td class="sssn number yellow">108</td>
           </tr>
         </tbody>
       </table>
          for simply typed terms.
    </li>
     </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2013 April 16.</span>
+         Reaxiomatized substitution and reduction 
+         commute with respect to subclosure
+         (anniversary milestone).
+   </li>
+    </ul>
+   <ul xmlns:ld="http://lambdadelta.info/">
+      <li>
+        <span class="date">2013 March 16.</span>
+         Mutual recursive preservation of stratified native validity
+        for hyper computation on closures.
+   </li>
+    </ul>
    <ul xmlns:ld="http://lambdadelta.info/">
       <li>
         <span class="date">2012 October 16.</span>
             <td class="snnn file grey">
               <br />
             </td>
-            <td class="snnn file grey">
-              <br />
-            </td>
             <td class="ssnn file grey">
               <br />
             </td>
           </tr>
           <tr>
             <td class="snns component prune">dynamic typing</td>
-            <td class="snns plane prune">local env. ref. for stratified native validity</td>
-            <td class="snns file prune">lsubsv ( ? ⊢ ? ⊩:⊑[?] ? )</td>
-            <td class="snnn file prune">lsubsv_ldrop lsubsv_ssta lsubsv_cpcs lsubsv_snv</td>
-            <td class="snnn file prune">
-              <br />
-            </td>
-            <td class="snnn file prune">
-              <br />
-            </td>
-            <td class="ssnn file prune">
-              <br />
-            </td>
+            <td class="snns plane prune">"big tree" parallel computation</td>
+            <td class="snns file prune">yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )</td>
+            <td class="snnn file prune">yprs_yprs</td>
+            <td class="snnn file prune">ygt ( ? ⊢ ⦃?,?⦄ &gt;[g] ⦃?,?⦄ )</td>
+            <td class="ssnn file prune">ygt_ygt</td>
           </tr>
           <tr>
             <td class="nnns component prune">
               <br />
             </td>
-            <td class="snns plane prune">stratified native validity</td>
-            <td class="snns file prune">snv ( ⦃?,?⦄ ⊩ ? :[?] )</td>
-            <td class="snnn file prune">snv_lift snv_ltpss_dx snv_ltpss_sn snv_aaa snv_ssta snv_sstas snv_ssta_ltpr snv_ltpr snv_cpcs</td>
-            <td class="snnn file prune">
-              <br />
-            </td>
+            <td class="snns plane prune">"big tree" parallel reduction</td>
+            <td class="snns file prune">ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )</td>
+            <td class="snnn file prune">ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )</td>
             <td class="snnn file prune">
               <br />
             </td>
             </td>
           </tr>
           <tr>
-            <td class="snns component blue">equivalence</td>
-            <td class="snns plane blue">focalized equivalence</td>
-            <td class="snns file blue">lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )</td>
-            <td class="snnn file blue">lfpcs_aaa lfpcs_fpcs lfpcs_lfprs lfpcs_lfpcs</td>
-            <td class="snnn file blue">
+            <td class="nnns component prune">
               <br />
             </td>
-            <td class="snnn file blue">
+            <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_lsuba lsubsv_ssta lsubsv_dxprs lsubsv_cpcs lsubsv_snv</td>
+            <td class="snnn file prune">
               <br />
             </td>
-            <td class="ssnn file blue">
+            <td class="ssnn file prune">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component blue">
-              <br />
-            </td>
-            <td class="nnns plane blue">
-              <br />
-            </td>
-            <td class="snns file blue">fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )</td>
-            <td class="snnn file blue">fpcs_aaa fpcs_cpcs fpcs_fprs fpcs_fpcs</td>
-            <td class="snnn file blue">
+            <td class="nnns component prune">
               <br />
             </td>
-            <td class="snnn file blue">
+            <td class="snns plane prune">stratified native validity</td>
+            <td class="snns file prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?] )</td>
+            <td class="snnn file prune">snv_lift snv_lpss snv_aaa snv_ssta snv_sstas snv_ssta_lpr snv_lpr snv_cpcs</td>
+            <td class="snnn file prune">
               <br />
             </td>
-            <td class="ssnn file blue">
+            <td class="ssnn file prune">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component blue">
-              <br />
-            </td>
-            <td class="snns plane blue">local env. ref. for context-sensitive equivalence</td>
-            <td class="snns file blue">lsubse ( ? ⊢•⊑[?] ? )</td>
-            <td class="snnn file blue">lsubse_ldrop lsubse_ssta lsubse_cpcs</td>
-            <td class="snnn file blue">
-              <br />
-            </td>
+            <td class="snns component blue">equivalence</td>
+            <td class="snns plane blue">local env. ref. for stratified static type assignment</td>
+            <td class="snns file blue">lsubss ( ? •⊑[?] ? )</td>
+            <td class="snnn file blue">lsubss_ldrop lsubss_ssta lsubss_cpcs</td>
             <td class="snnn file blue">
               <br />
             </td>
             </td>
             <td class="snns plane blue">context-sensitive equivalence</td>
             <td class="snns file blue">cpcs ( ? ⊢ ? ⬌* ? )</td>
-            <td class="snnn file blue">cpcs_ltpss_dx cpcs_ltpss_sn cpcs_delift cpcs_aaa cpcs_ltpr cpcs_cprs cpcs_cpcs</td>
-            <td class="snnn file blue">
-              <br />
-            </td>
+            <td class="snnn file blue">cpcs_lpss cpcs_aaa cpcs_cprs cpcs_cpcs</td>
             <td class="snnn file blue">
               <br />
             </td>
           </tr>
           <tr>
             <td class="snns component sky">conversion</td>
-            <td class="snns plane sky">focalized conversion</td>
-            <td class="snns file sky">lfpc ( ⦃?⦄ ⬌ ⦃?⦄ )</td>
-            <td class="snnn file sky">lfpc_lfpc</td>
-            <td class="snnn file sky">
-              <br />
-            </td>
-            <td class="snnn file sky">
-              <br />
-            </td>
-            <td class="ssnn file sky">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component sky">
-              <br />
-            </td>
-            <td class="nnns plane sky">
-              <br />
-            </td>
-            <td class="snns file sky">fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )</td>
-            <td class="snnn file sky">fpc_fpc</td>
-            <td class="snnn file sky">
-              <br />
-            </td>
-            <td class="snnn file sky">
-              <br />
-            </td>
-            <td class="ssnn file sky">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component sky">
-              <br />
-            </td>
             <td class="snns plane sky">context-sensitive conversion</td>
             <td class="snns file sky">cpc ( ? ⊢ ? ⬌ ? )</td>
             <td class="snnn file sky">cpc_cpc</td>
             <td class="snnn file sky">
               <br />
             </td>
-            <td class="snnn file sky">
-              <br />
-            </td>
             <td class="ssnn file sky">
               <br />
             </td>
           </tr>
           <tr>
             <td class="snns component cyan">computation</td>
-            <td class="snns plane cyan">focalized computation</td>
-            <td class="snns file cyan">lfprs ( ⦃?⦄ ➡* ⦃?⦄ )</td>
-            <td class="snnn file cyan">lfprs_aaa lfprs_ltprs lfprs_cprs lfprs_fprs lfprs_lfprs</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
-            <td class="ssnn file cyan">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component cyan">
-              <br />
-            </td>
-            <td class="nnns plane cyan">
-              <br />
-            </td>
-            <td class="snns file cyan">fprs ( ⦃?,?⦄ ➡* ⦃?,?⦄ )</td>
-            <td class="snnn file cyan">fprs_aaa fprs_fprs</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
-            <td class="ssnn file cyan">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component cyan">
-              <br />
-            </td>
-            <td class="snns plane cyan">"big tree" parallel computation</td>
-            <td class="snns file cyan">yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )</td>
-            <td class="snnn file cyan">yprs_yprs</td>
-            <td class="snnn file cyan">ygt ( ? ⊢ ⦃?,?⦄ &gt;[g] ⦃?,?⦄ )</td>
-            <td class="snnn file cyan">ygt_ygt</td>
-            <td class="ssnn file cyan">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component cyan">
-              <br />
-            </td>
             <td class="snns plane cyan">decomposed extended computation</td>
             <td class="snns file cyan">dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )</td>
-            <td class="snnn file cyan">dxprs_lift dxprs_ltpss_dx dxprs_ltpss_sn dxprs_aaa dxpr_lsubss dxprs_dxprs</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <td class="snnn file cyan">dxprs_lift dxprs_lpss dxprs_aaa dxprs_dxprs</td>
             <td class="snnn file cyan">
               <br />
             </td>
             <td class="snnn file cyan">
               <br />
             </td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
             <td class="ssnn file cyan">
               <br />
             </td>
             </td>
             <td class="snns plane cyan">strongly normalizing computation</td>
             <td class="snns file cyan">csn_vector ( ? ⊢ ⬊* ? )</td>
-            <td class="snnn file cyan">csn_cpr_vector csn_tstc_vector csn_aaa</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <td class="snnn file cyan">csn_tstc_vector csn_aaa</td>
             <td class="snnn file cyan">
               <br />
             </td>
             </td>
             <td class="snns file cyan">csn ( ? ⊢ ⬊* ? )</td>
             <td class="snnn file cyan">csn_alt ( ? ⊢ ⬊⬊* ? )</td>
-            <td class="snnn file cyan">csn_lift csn_cpr csn_lfpr</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <td class="snnn file cyan">csn_lift csn_lpr</td>
             <td class="ssnn file cyan">
               <br />
             </td>
               <br />
             </td>
             <td class="snns plane cyan">context-sensitive computation</td>
-            <td class="snns file cyan">cprs (? ⊢ ? ➡* ?)</td>
-            <td class="snnn file cyan">cprs_lift cprs_tpss cprs_ltpss_dx cprs_ltpss_sn cprs_delift cprs_aaa cprs_ltpr cprs_lfpr cprs_cprs cprs_lfprs cprs_tstc cprs_tstc_vector</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
-            <td class="ssnn file cyan">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component cyan">
-              <br />
-            </td>
-            <td class="snns plane cyan">context-free computation</td>
-            <td class="snns file cyan">ltprs ( ? ➡* ? )</td>
-            <td class="snnn file cyan">ltprs_alt ( ? ➡➡* ? )</td>
-            <td class="snnn file cyan">ltprs_ldrop ltprs_ltprs</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <td class="snns file cyan">lprs ( ? ⊢ ➡* ? )</td>
+            <td class="snnn file cyan">lprs_alt ( ? ⊢ ➡➡* ? )</td>
+            <td class="snnn file cyan">lprs_ldrop lprs_lpss lprs_aaa lprs_cprs lprs_lprs</td>
             <td class="ssnn file cyan">
               <br />
             </td>
             <td class="nnns plane cyan">
               <br />
             </td>
-            <td class="snns file cyan">tprs ( ? ➡* ?)</td>
-            <td class="snnn file cyan">tprs_lift tprs_tprs</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
+            <td class="snns file cyan">cprs ( ? ⊢ ? ➡* ?)</td>
+            <td class="snnn file cyan">cprs_tstc cprs_tstc_vector cprs_lift cprs_lpss cprs_aaa cprs_cprs</td>
             <td class="snnn file cyan">
               <br />
             </td>
             <td class="snnn file cyan">
               <br />
             </td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
             <td class="ssnn file cyan">
               <br />
             </td>
             <td class="snns file cyan">acp</td>
             <td class="snnn file cyan">acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )</td>
             <td class="snnn file cyan">acp_aaa</td>
-            <td class="snnn file cyan">
-              <br />
-            </td>
             <td class="ssnn file cyan">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="snns component water">reducibility</td>
-            <td class="snns plane water">context-sensitive focalized reduction</td>
-            <td class="snns file water">cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
-            <td class="snnn file water">cnfpr_ltpss cfpr_aaa cfpr_cpr cfpr_cfpr</td>
-            <td class="snnn file water">
-              <br />
-            </td>
+            <td class="snns component water">reduction</td>
+            <td class="snns plane water">context-sensitive normal forms</td>
+            <td class="snns file water">cnf ( ? ⊢ 𝐍⦃?⦄ )</td>
+            <td class="snnn file water">cnf_liftt cnf_crf cnf_cif</td>
             <td class="snnn file water">
               <br />
             </td>
             <td class="nnns component water">
               <br />
             </td>
-            <td class="snns plane water">context-free focalized reduction</td>
-            <td class="snns file water">lfpr ( ⦃?⦄ ➡ ⦃?⦄ )</td>
-            <td class="snnn file water">lfpr_alt ( ⦃?⦄ ➡➡ ⦃?⦄ )</td>
-            <td class="snnn file water">lfpr_aaa lfpr_cpr lfpr_fpr lfpr_lfpr</td>
+            <td class="snns plane water">context-sensitive reduction</td>
+            <td class="snns file water">lpr ( ? ⊢ ➡ ? )</td>
+            <td class="snnn file water">lpr_ldrop lpr_lpss lpr_aaa lpr_lpr</td>
             <td class="snnn file water">
               <br />
             </td>
             <td class="nnns plane water">
               <br />
             </td>
-            <td class="snns file water">fpr ( ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
-            <td class="snnn file water">fpr_cpr fpr_fpr</td>
-            <td class="snnn file water">
-              <br />
-            </td>
-            <td class="snnn file water">
-              <br />
-            </td>
-            <td class="ssnn file water">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component water">
-              <br />
-            </td>
-            <td class="snns plane water">"big tree" parallel reduction</td>
-            <td class="snns file water">ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )</td>
-            <td class="snnn file water">ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )</td>
-            <td class="snnn file water">
-              <br />
-            </td>
-            <td class="snnn file water">
-              <br />
-            </td>
-            <td class="ssnn file water">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component water">
-              <br />
-            </td>
-            <td class="snns plane water">context-sensitive normal forms</td>
-            <td class="snns file water">cnf ( ? ⊢ 𝐍⦃?⦄ )</td>
-            <td class="snnn file water">cnf_lift cnf_cif</td>
-            <td class="snnn file water">
-              <br />
-            </td>
-            <td class="snnn file water">
-              <br />
-            </td>
-            <td class="ssnn file water">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component water">
-              <br />
-            </td>
-            <td class="snns plane water">context-sensitive reduction</td>
             <td class="snns file water">cpr ( ? ⊢ ? ➡ ? )</td>
-            <td class="snnn file water">cpr_lift cpr_tpss cpr_ltpss_dx cpr_ltpss_sn cpr_delift cpr_aaa cpr_ltpr cpr_cpr</td>
-            <td class="snnn file water">
-              <br />
-            </td>
+            <td class="snnn file water">cpr_lift cpr_cif</td>
             <td class="snnn file water">
               <br />
             </td>
             <td class="snns file water">crf ( ? ⊢ 𝐑⦃?⦄ )</td>
             <td class="snnn file water">crf_append</td>
             <td class="snnn file water">cif ( ? ⊢ 𝐈⦃?⦄ )</td>
-            <td class="snnn file water">cif_append</td>
-            <td class="ssnn file water">
-              <br />
-            </td>
+            <td class="ssnn file water">cif_append</td>
           </tr>
           <tr>
-            <td class="nnns component water">
-              <br />
-            </td>
-            <td class="snns plane water">context-free normal forms</td>
-            <td class="snns file water">thnf ( 𝐇𝐍⦃?⦄ )</td>
-            <td class="snnn file water">
-              <br />
-            </td>
-            <td class="snnn file water">
-              <br />
-            </td>
-            <td class="snnn file water">
+            <td class="snns component green">unfold</td>
+            <td class="snns plane green">restricted parallel computation</td>
+            <td class="snns file green">lpqs ( ? ⊢ ➤* ? )</td>
+            <td class="snnn file green">lpqs_ldrop lpqs_cpqs lpqs_lpqs</td>
+            <td class="snnn file green">
               <br />
             </td>
-            <td class="ssnn file water">
+            <td class="ssnn file green">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
+            <td class="nnns component green">
               <br />
             </td>
-            <td class="snns plane water">context-free reduction</td>
-            <td class="snns file water">ltpr ( ? ➡ ? )</td>
-            <td class="snnn file water">ltpr_ldrop ltpr_tps ltpr_ltpss_dx ltpr_ltpss_sn ltpr_aaa ltpr_ltpr</td>
-            <td class="snnn file water">
+            <td class="nnns plane green">
               <br />
             </td>
-            <td class="snnn file water">
+            <td class="snns file green">cpqs ( ? ⊢ ? ➤* ? )</td>
+            <td class="snnn file green">cpqs_lift</td>
+            <td class="snnn file green">
               <br />
             </td>
-            <td class="ssnn file water">
+            <td class="ssnn file green">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component water">
-              <br />
-            </td>
-            <td class="nnns plane water">
-              <br />
-            </td>
-            <td class="snns file water">tpr ( ? ➡ ? )</td>
-            <td class="snnn file water">tpr_lift tpr_tps tpr_tpss tpr_delift tpr_tpr</td>
-            <td class="snnn file water">
-              <br />
-            </td>
-            <td class="snnn file water">
-              <br />
-            </td>
-            <td class="ssnn file water">
+            <td class="nnns component green">
               <br />
             </td>
-          </tr>
-          <tr>
-            <td class="snns component green">unwind</td>
-            <td class="snns plane green">iterated stratified static type assignment</td>
-            <td class="snns file green">sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )</td>
-            <td class="snnn file green">sstas_lift sstas_ltpss_dx sstas_ltpss_sn sstas_aaa sstas_lsubss sstas_sstas</td>
+            <td class="snns plane green">unfold</td>
+            <td class="snns file green">unfold ( ? ⊢ ? ⧫* ? )</td>
             <td class="snnn file green">
               <br />
             </td>
             </td>
           </tr>
           <tr>
-            <td class="snns component grass">static typing</td>
-            <td class="snns plane grass">local env. ref. for stratified static type assignment</td>
-            <td class="snns file grass">lsubss ( ? •⊑[?] ? )</td>
-            <td class="snnn file grass">lsubss_ldrop lsubss_ssta lsubss_lsubss</td>
-            <td class="snnn file grass">
+            <td class="nnns component green">
               <br />
             </td>
-            <td class="snnn file grass">
+            <td class="snns plane green">iterated stratified static type assignment</td>
+            <td class="snns file green">sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )</td>
+            <td class="snnn file green">sstas_lift sstas_lpss sstas_aaa sstas_sstas</td>
+            <td class="snnn file green">
               <br />
             </td>
-            <td class="ssnn file grass">
+            <td class="ssnn file green">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnns component grass">
-              <br />
-            </td>
+            <td class="snns component grass">static typing</td>
             <td class="snns plane grass">stratified static type assignment</td>
             <td class="snns file grass">ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )</td>
-            <td class="snnn file grass">ssta_lift ssta_ltpss_dx ssta_ltpss_sn ssta_aaa ssta_ssta</td>
-            <td class="snnn file grass">
-              <br />
-            </td>
+            <td class="snnn file grass">ssta_lift ssta_lpss ssta_aaa ssta_ssta</td>
             <td class="snnn file grass">
               <br />
             </td>
             <td class="snnn file grass">
               <br />
             </td>
-            <td class="snnn file grass">
-              <br />
-            </td>
             <td class="ssnn file grass">
               <br />
             </td>
             </td>
             <td class="snns plane grass">atomic arity assignment</td>
             <td class="snns file grass">aaa ( ? ⊢ ? ⁝ ? )</td>
-            <td class="snnn file grass">aaa_lift aaa_lifts aaa_ltpss_dx aaa_ltpss_sn aaa_aaa</td>
-            <td class="snnn file grass">
-              <br />
-            </td>
+            <td class="snnn file grass">aaa_lift aaa_lifts aaa_lpss aaa_aaa</td>
             <td class="snnn file grass">
               <br />
             </td>
             <td class="snnn file grass">
               <br />
             </td>
-            <td class="snnn file grass">
-              <br />
-            </td>
             <td class="ssnn file grass">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="snns component yellow">unfold</td>
-            <td class="snns plane yellow">basic local env. thinning</td>
-            <td class="snns file yellow">thin ( ? ▼*[?,?] ≡ ? )</td>
-            <td class="snnn file yellow">thin_ldrop thin_delift</td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
-            <td class="ssnn file yellow">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component yellow">
-              <br />
-            </td>
-            <td class="snns plane yellow">inverse basic term relocation</td>
-            <td class="snns file yellow">delift ( ? ⊢ ? ▼*[?,?] ≡ ? )</td>
-            <td class="snnn file yellow">delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )</td>
-            <td class="snnn file yellow">delift_lift delift_tpss delift_ltpss delift_delift</td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
-            <td class="ssnn file yellow">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component yellow">
-              <br />
-            </td>
-            <td class="snns plane yellow">partial unfold</td>
-            <td class="snns file yellow">ltpss_sn ( ? ⊢ ▶*[?,?] ? )</td>
-            <td class="snnn file yellow">ltpss_sn_alt ( ? ⊢ ▶▶*[?,?] ? )</td>
-            <td class="snnn file yellow">ltpss_sn_ldrop ltpss_sn_tps ltpss_sn_tpss ltpss_sn_ltpss_sn</td>
+            <td class="snns component yellow">substitution</td>
+            <td class="snns plane yellow">parallel substitution</td>
+            <td class="snns file yellow">lpss ( ? ⊢ ▶* ? )</td>
+            <td class="snnn file yellow">lpss_ldrop lpss_cpss lpss_lpss</td>
             <td class="snnn file yellow">
               <br />
             </td>
             <td class="nnns plane yellow">
               <br />
             </td>
-            <td class="snns file yellow">ltpss_dx ( ? ▶*[?,?] ? )</td>
-            <td class="snnn file yellow">ltpss_dx_ldrop ltpss_dx_tps ltpss_dx_tpss ltpss_dx_ltpss_dx</td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
+            <td class="snns file yellow">cpss ( ? ⊢ ? ▶* ? )</td>
+            <td class="snnn file yellow">cpss_lift</td>
             <td class="snnn file yellow">
               <br />
             </td>
             <td class="nnns component yellow">
               <br />
             </td>
-            <td class="nnns plane yellow">
+            <td class="snns plane yellow">local env. ref. for substitution</td>
+            <td class="snns file yellow">lsubr ( ? ⊑ ? )</td>
+            <td class="snnn file yellow">lsubr_lsubr</td>
+            <td class="snnn file yellow">
               <br />
             </td>
-            <td class="snns file yellow">tpss ( ? ⊢ ? ▶*[?,?] ? )</td>
-            <td class="snnn file yellow">tpss_alt ( ? ⊢ ? ▶▶*[?,?] ? )</td>
-            <td class="snnn file yellow">tpss_lift</td>
-            <td class="snnn file yellow">tpss_tpss</td>
             <td class="ssnn file yellow">
               <br />
             </td>
             <td class="nnns component yellow">
               <br />
             </td>
-            <td class="snns plane yellow">generic local env. slicing</td>
-            <td class="snns file yellow">ldrops ( ⇩*[?] ? ≡ ? )</td>
-            <td class="snnn file yellow">ldrops_ldrop ldrops_ldrops</td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
+            <td class="snns plane yellow">iterated structural successor for closures</td>
+            <td class="snns file yellow">fsups ( ⦃?,?⦄ ⊃* ⦃?,?⦄ )</td>
+            <td class="snnn file yellow">fsups_fsups</td>
             <td class="snnn file yellow">
               <br />
             </td>
             <td class="nnns component yellow">
               <br />
             </td>
-            <td class="snns plane yellow">iterated restricted structural predecessor for closures</td>
-            <td class="snns file yellow">frsups ( ⦃?,?⦄ ⧁* ⦃?,?⦄ )</td>
-            <td class="snnn file yellow">frsups_frsups</td>
-            <td class="snnn file yellow">
+            <td class="nnns plane yellow">
               <br />
             </td>
+            <td class="snns file yellow">fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )</td>
+            <td class="snnn file yellow">fsupp_fsupp</td>
             <td class="snnn file yellow">
               <br />
             </td>
             <td class="nnns component yellow">
               <br />
             </td>
-            <td class="nnns plane yellow">
-              <br />
-            </td>
-            <td class="snns file yellow">frsupp ( ⦃?,?⦄ ⧁+ ⦃?,?⦄ )</td>
-            <td class="snnn file yellow">frsupp_frsupp</td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
+            <td class="snns plane yellow">generic local env. slicing</td>
+            <td class="snns file yellow">ldrops ( ⇩*[?] ? ≡ ? )</td>
+            <td class="snnn file yellow">ldrops_ldrop ldrops_ldrops</td>
             <td class="snnn file yellow">
               <br />
             </td>
             <td class="snnn file yellow">
               <br />
             </td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
             <td class="ssnn file yellow">
               <br />
             </td>
             <td class="snnn file yellow">
               <br />
             </td>
-            <td class="snnn file yellow">
-              <br />
-            </td>
             <td class="ssnn file yellow">
               <br />
             </td>
             <td class="snns file yellow">gr2 ( @⦃?,?⦄ ≡ ? )</td>
             <td class="snnn file yellow">gr2_plus ( ? + ? )</td>
             <td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td>
-            <td class="snnn file yellow">gr2_gr2</td>
-            <td class="ssnn file yellow">
-              <br />
-            </td>
+            <td class="ssnn file yellow">gr2_gr2</td>
           </tr>
           <tr>
-            <td class="snns component orange">substitution</td>
-            <td class="snns plane orange">parallel substitution</td>
-            <td class="snns file orange">tps ( ? ⊢ ? ▶[?,?] ? )</td>
-            <td class="snnn file orange">tps_lift tps_tps</td>
+            <td class="snns component orange">relocation</td>
+            <td class="snns plane orange">structural successor for closures</td>
+            <td class="snns file orange">fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )</td>
             <td class="snnn file orange">
               <br />
             </td>
             <td class="snnn file orange">
               <br />
             </td>
-            <td class="snnn file orange">
-              <br />
-            </td>
             <td class="ssnn file orange">
               <br />
             </td>
             </td>
             <td class="snns plane orange">basic local env. slicing</td>
             <td class="snns file orange">ldrop ( ⇩[?,?] ? ≡ ? )</td>
-            <td class="snnn file orange">ldrop_append ldrop_lpx ldrop_sfr ldrop_ldrop</td>
-            <td class="snnn file orange">
-              <br />
-            </td>
-            <td class="snnn file orange">
-              <br />
-            </td>
-            <td class="ssnn file orange">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component orange">
-              <br />
-            </td>
-            <td class="snns plane orange">local env. ref. for substitution</td>
-            <td class="snns file orange">lsubs ( ? ≼[?,?] ? )</td>
-            <td class="snnn file orange">(lsubs_lsubs)</td>
-            <td class="snnn file orange">lsubs_sfr ( ≽[?,?] ? )</td>
-            <td class="snnn file orange">
-              <br />
-            </td>
-            <td class="ssnn file orange">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns component orange">
-              <br />
-            </td>
-            <td class="snns plane orange">restricted structural predecessor for closures</td>
-            <td class="snns file orange">frsup ( ⦃?,?⦄ ⧁ ⦃?,?⦄ )</td>
-            <td class="snnn file orange">
-              <br />
-            </td>
-            <td class="snnn file orange">
-              <br />
-            </td>
+            <td class="snnn file orange">ldrop_append ldrop_lpx_sn ldrop_ldrop</td>
             <td class="snnn file orange">
               <br />
             </td>
             <td class="snnn file orange">
               <br />
             </td>
-            <td class="snnn file orange">
-              <br />
-            </td>
             <td class="ssnn file orange">
               <br />
             </td>
             <td class="snnn file orange">
               <br />
             </td>
-            <td class="snnn file orange">
-              <br />
-            </td>
             <td class="ssnn file orange">
               <br />
             </td>
           </tr>
           <tr>
             <td class="snns component red">grammar</td>
-            <td class="snns plane red">same head term form</td>
-            <td class="snns file red">tshf ( ? ≈ ? )</td>
-            <td class="snnn file red">(tshf_tshf)</td>
-            <td class="snnn file red">
-              <br />
-            </td>
+            <td class="snns plane red">pointwise extension of a relation</td>
+            <td class="snns file red">lpx_sn</td>
+            <td class="snnn file red">lpx_sn_tc lpx_sn_lpx_sn</td>
             <td class="snnn file red">
               <br />
             </td>
             <td class="snnn file red">
               <br />
             </td>
-            <td class="snnn file red">
-              <br />
-            </td>
             <td class="ssnn file red">
               <br />
             </td>
             <td class="snnn file red">
               <br />
             </td>
-            <td class="snnn file red">
-              <br />
-            </td>
             <td class="ssnn file red">
               <br />
             </td>
             <td class="snnn file red">
               <br />
             </td>
-            <td class="snnn file red">
-              <br />
-            </td>
             <td class="ssnn file red">
               <br />
             </td>
             <td class="snns file red">lenv</td>
             <td class="snnn file red">lenv_weight ( ♯{?} )</td>
             <td class="snnn file red">lenv_length ( |?| )</td>
-            <td class="snnn file red">lenv_append ( ? @@ ? )</td>
-            <td class="ssnn file red">lenv_px lenv_px_bi</td>
+            <td class="ssnn file red">lenv_append ( ? @@ ? )</td>
           </tr>
           <tr>
             <td class="nnns component red">
             <td class="snns file red">term</td>
             <td class="snnn file red">term_weight ( ♯{?} )</td>
             <td class="snnn file red">term_simple ( 𝐒⦃?⦄ )</td>
-            <td class="snnn file red">term_vector</td>
-            <td class="ssnn file red">
-              <br />
-            </td>
+            <td class="ssnn file red">term_vector</td>
           </tr>
           <tr>
             <td class="nnns component red">
             <td class="snnn file red">
               <br />
             </td>
-            <td class="snnn file red">
-              <br />
-            </td>
             <td class="ssnn file red">
               <br />
             </td>
             <td class="snsn file red">
               <br />
             </td>
-            <td class="snsn file red">
-              <br />
-            </td>
             <td class="sssn file red">
               <br />
             </td>
     <div xmlns:ld="http://lambdadelta.info/" class="spacer">
       <br />
     </div>
-    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Mon, 11 Mar 2013 20:22:08 +0100</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sat, 01 Jun 2013 18:41:06 +0200</div>
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