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update in basic_2 ...
[helm.git] / helm / www / lambdadelta / basic_2.html
index a281ef3ab90034290ee427fe076111d3e4972711..b2954f5e726dbcffa8762384a8698bb753092c48 100644 (file)
           <tr>
             <td class="snns capitalize italic cyan">sizes</td>
             <td class="snns italic cyan">files</td>
-            <td class="snnn right italic cyan">177</td>
+            <td class="snnn right italic cyan">178</td>
             <td class="snns italic cyan">characters</td>
-            <td class="snnn right italic cyan">181483</td>
+            <td class="snnn right italic cyan">183178</td>
             <td class="snns italic cyan">nodes</td>
-            <td class="ssnn right italic cyan">952913</td>
+            <td class="ssnn right italic cyan">957953</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">48</td>
             <td class="snns italic green">lemmas</td>
-            <td class="snnn right italic green">633</td>
+            <td class="snnn right italic green">630</td>
             <td class="snns italic green">total</td>
-            <td class="ssnn right italic green">682</td>
+            <td class="ssnn right italic green">678</td>
           </tr>
           <tr>
             <td class="snss capitalize italic yellow">concepts</td>
             <td class="snss italic yellow">declared</td>
-            <td class="snsn right italic yellow">24</td>
+            <td class="snsn right italic yellow">25</td>
             <td class="snss italic yellow">defined</td>
-            <td class="snsn right italic yellow">42</td>
+            <td class="snsn right italic yellow">43</td>
             <td class="snss italic yellow">total</td>
-            <td class="sssn right italic yellow">66</td>
+            <td class="sssn right italic yellow">68</td>
           </tr>
         </tbody>
       </table>
             <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 top gray">
-              <br />
-            </td>
             <td class="ssnn top gray">
               <br />
             </td>
             <td class="snns top capitalize italic water">rt-transition</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="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
-              <br />
-            </td>
+            <td class="ssnn top water">lfpr_length lfpr_drops lfpr_fqup lfpr_frees lfpr_aaa lfpr_lfpx lfpr_lfpr</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic water">
               <br />
             </td>
             <td class="snns top water">cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )</td>
-            <td class="snnn top water">cpr_drops</td>
-            <td class="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
-              <br />
-            </td>
+            <td class="ssnn top water">cpr_drops</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic water">
               <br />
             </td>
             <td class="snns top water">cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
-            <td class="snnn top water">cpm_simple cpm_drops cpm_lsubr cpm_cpx</td>
-            <td class="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
-              <br />
-            </td>
+            <td class="ssnn top water">cpm_simple cpm_drops cpm_lsubr cpm_cpx</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic water">
             </td>
             <td class="snns top italic water">uncounted context-sensitive rt-transition</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="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
-              <br />
-            </td>
+            <td class="ssnn top water">lfpx_length lfpx_drops lfpx_fqup lfpx_frees lfpx_aaa</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic water">
               <br />
             </td>
             <td class="snns top water">cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )</td>
-            <td class="snnn top water">cpx_simple cpx_drops cpx_lsubr</td>
-            <td class="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
-              <br />
-            </td>
+            <td class="ssnn top water">cpx_simple cpx_drops cpx_lsubr</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic water">
             </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="snnn top water">
-              <br />
-            </td>
-            <td class="ssnn top water">
-              <br />
-            </td>
+            <td class="ssnn top water">cpg_simple cpg_drops cpg_lsubr</td>
           </tr>
           <tr>
             <td class="snns top capitalize italic green">static typing</td>
-            <td class="snns top italic green">parameters</td>
-            <td class="snns top green">sh</td>
-            <td class="snnn top green">sd</td>
-            <td class="snnn top green">
-              <br />
-            </td>
-            <td class="ssnn top green">
-              <br />
-            </td>
-          </tr>
-          <tr>
-            <td class="nnns top capitalize italic green">
-              <br />
-            </td>
             <td class="snns top italic green">restricted ref. for 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="snnn top green">
-              <br />
-            </td>
-            <td class="ssnn top green">
-              <br />
-            </td>
+            <td class="ssnn top green">lsuba_drops lsuba_lsubr lsuba_aaa lsuba_lsuba</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic green">
             </td>
             <td class="snns top italic green">atomic arity assignment</td>
             <td class="snns top green">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
-            <td class="snnn top green">aaa_drops aaa_fqus aaa_lfeq aaa_aaa</td>
-            <td class="snnn top green">
-              <br />
-            </td>
-            <td class="ssnn top green">
-              <br />
-            </td>
+            <td class="ssnn top green">aaa_drops aaa_fqus aaa_lfeq aaa_aaa</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic green">
             </td>
             <td class="snns top italic green">equivalence for closures on referred entries</td>
             <td class="snns top green">ffeq ( ⦃?,?,?⦄ ≡ ⦃?,?,?⦄ )</td>
-            <td class="snnn top green">ffeq_freq</td>
-            <td class="snnn top green">
-              <br />
-            </td>
-            <td class="ssnn top green">
-              <br />
-            </td>
+            <td class="ssnn top green">ffeq_freq</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic green">
             </td>
             <td class="snns top italic green">equivalence for local environments on referred entries</td>
             <td class="snns top green">lfeq ( ? ≡[?] ? )</td>
-            <td class="snnn top green">lfeq_length lfeq_lreq lfeq_fqup lfeq_lfeq</td>
-            <td class="snnn top green">
-              <br />
-            </td>
-            <td class="ssnn top green">
-              <br />
-            </td>
+            <td class="ssnn top green">lfeq_length lfeq_lreq lfeq_fqup lfeq_lfeq</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic green">
             </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="snnn top green">
-              <br />
-            </td>
-            <td class="ssnn top green">
-              <br />
-            </td>
+            <td class="ssnn top green">lfxs_length lfxs_drops lfxs_fqup lfxs_lfxs</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic green">
             </td>
             <td class="snns top italic green">restricted ref. for context-sensitive free variables</td>
             <td class="snns top green">lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )</td>
-            <td class="snnn top green">lsubf_frees</td>
-            <td class="snnn top green">
-              <br />
-            </td>
-            <td class="ssnn top green">
-              <br />
-            </td>
+            <td class="ssnn top green">lsubf_frees</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic green">
             </td>
             <td class="snns top italic green">context-sensitive free variables</td>
             <td class="snns top green">frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )</td>
-            <td class="snnn top green">frees_weight frees_lreq frees_drops frees_fqup frees_frees</td>
-            <td class="snnn top green">
-              <br />
-            </td>
-            <td class="ssnn top green">
-              <br />
-            </td>
+            <td class="ssnn top green">frees_weight frees_lreq frees_drops frees_fqup frees_frees</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic green">
             </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="snnn top green">
-              <br />
-            </td>
-            <td class="ssnn top green">
-              <br />
-            </td>
+            <td class="ssnn top green">lsubr_length lsubr_drops lsubr_lsubr</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="snnn top grass">
-              <br />
-            </td>
-            <td class="ssnn top grass">
-              <br />
-            </td>
+            <td class="ssnn top grass">fqus_weight fqus_drops fqus_fqup fqus_fqus</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic grass">
               <br />
             </td>
             <td class="snns top grass">fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )</td>
-            <td class="snnn top grass">fqup_weight fqup_drops fqup_fqup</td>
-            <td class="snnn top grass">
-              <br />
-            </td>
-            <td class="ssnn top grass">
-              <br />
-            </td>
+            <td class="ssnn top grass">fqup_weight fqup_drops fqup_fqup</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="snnn top yellow">
-              <br />
-            </td>
-            <td class="ssnn top yellow">
-              <br />
-            </td>
+            <td class="ssnn top yellow">fquq_length fquq_weight</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic yellow">
               <br />
             </td>
             <td class="snns top yellow">fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )</td>
-            <td class="snnn top yellow">fqu_length fqu_weight</td>
-            <td class="snnn top yellow">
-              <br />
-            </td>
-            <td class="ssnn top yellow">
-              <br />
-            </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 italic orange">generic slicing for local environments</td>
             <td class="snns top orange">drops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )</td>
-            <td class="snnn top orange">
-              <br />
-            </td>
-            <td class="snnn top orange">
-              <br />
-            </td>
             <td class="ssnn top orange">
               <br />
             </td>
               <br />
             </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="snnn top orange">
-              <br />
-            </td>
-            <td class="ssnn top orange">
-              <br />
-            </td>
+            <td class="ssnn top orange">drops_lstar drops_weight drops_length drops_ceq drops_lexs drops_lreq drops_drops</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic orange">
             </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="snnn top orange">
-              <br />
-            </td>
-            <td class="ssnn top orange">
-              <br />
-            </td>
+            <td class="ssnn top orange">lifts_lifts_vector</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic orange">
               <br />
             </td>
             <td class="snns top orange">lifts ( ⬆*[?] ? ≡ ? )</td>
-            <td class="snnn top orange">lifts_simple lifts_weight lifts_lifts</td>
-            <td class="snnn top orange">
-              <br />
-            </td>
-            <td class="ssnn top orange">
-              <br />
-            </td>
+            <td class="ssnn top orange">lifts_simple lifts_weight lifts_lifts</td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic orange">
             </td>
             <td class="snns top italic orange">ranged equivalence for local environments</td>
             <td class="snns top orange">lreq ( ? ≡[?] ? )</td>
-            <td class="snnn top orange">lreq_length lreq_lreq</td>
-            <td class="snnn 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="ssnn top orange">
+            <td class="snns top italic orange">generic entrywise extension</td>
+            <td class="snns top orange">lexs ( ? ⦻*[?,?,?] ? )</td>
+            <td class="ssnn top orange">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 red">append ( ? @@ ? )</td>
+            <td class="ssnn top red">append_length</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="ssnn top red">deq_deq</td>
           </tr>
           <tr>
-            <td class="nnns top capitalize italic orange">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic orange">generic entrywise extension</td>
-            <td class="snns top orange">lexs ( ? ⦻*[?,?,?] ? )</td>
-            <td class="snnn top orange">lexs_length lexs_lexs</td>
-            <td class="snnn top orange">
+            <td class="snns top italic red">same top term structure</td>
+            <td class="snns top red">tsts ( ? ≂ ? )</td>
+            <td class="ssnn top red">tsts_tsts tsts_vector</td>
+          </tr>
+          <tr>
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="ssnn top orange">
+            <td class="snns top italic red">closures</td>
+            <td class="snns top red">cl_weight ( ♯{?,?,?} )</td>
+            <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="snns top capitalize italic red">grammar</td>
-            <td class="snns top italic red">append for local environments</td>
-            <td class="snns top red">append ( ? @@ ? )</td>
-            <td class="snnn top red">append_length</td>
-            <td class="snnn top red">
+            <td class="nnns top capitalize italic red">
+              <br />
+            </td>
+            <td class="nnns top italic red">
               <br />
             </td>
+            <td class="snns top red">cl_restricted_weight ( ♯{?,?} )</td>
             <td class="ssnn top red">
               <br />
             </td>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic red">context-sensitive equivalences for terms</td>
-            <td class="snns top red">ceq</td>
-            <td class="snnn top red">ceq_ceq</td>
-            <td class="snnn top red">
+            <td class="snns top italic red">global environments</td>
+            <td class="snns top red">genv</td>
+            <td class="ssnn top red">
+              <br />
+            </td>
+          </tr>
+          <tr>
+            <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="ssnn top red">
               <br />
             </td>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic red">same top term structure</td>
-            <td class="snns top red">tsts ( ? ≂ ? )</td>
-            <td class="snnn top red">tsts_tsts tsts_vector</td>
-            <td class="snnn top red">
+            <td class="nnns top italic red">
               <br />
             </td>
+            <td class="snns top red">lenv_weight ( ♯{?} )</td>
             <td class="ssnn top red">
               <br />
             </td>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic red">closures</td>
-            <td class="snns top red">cl_weight ( ♯{?,?,?} )</td>
-            <td class="snnn top red">cl_restricted_weight ( ♯{?,?} )</td>
-            <td class="snnn top red">
+            <td class="nnns top italic red">
               <br />
             </td>
+            <td class="snns top red">lenv</td>
             <td class="ssnn top red">
               <br />
             </td>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snns top italic red">internal syntax</td>
-            <td class="snns top red">genv</td>
-            <td class="snnn top red">
+            <td class="snns top italic red">terms</td>
+            <td class="snns top red">term_vector ( Ⓐ?.? )</td>
+            <td class="ssnn top red">
               <br />
             </td>
-            <td class="snnn top red">
+          </tr>
+          <tr>
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
+            <td class="nnns top italic red">
+              <br />
+            </td>
+            <td class="snns top red">term_simple ( 𝐒⦃?⦄ )</td>
             <td class="ssnn top red">
               <br />
             </td>
             <td class="nnns top italic red">
               <br />
             </td>
-            <td class="snns top red">lenv</td>
-            <td class="snnn top red">lenv_weight ( ♯{?} )</td>
-            <td class="snnn top red">lenv_length ( |?| )</td>
+            <td class="snns top red">term_weight ( ♯{?} )</td>
             <td class="ssnn top red">
               <br />
             </td>
               <br />
             </td>
             <td class="snns top red">term</td>
-            <td class="snnn top red">term_weight ( ♯{?} )</td>
-            <td class="snnn top red">term_simple ( 𝐒⦃?⦄ )</td>
-            <td class="ssnn top red">term_vector ( Ⓐ?.? )</td>
+            <td class="ssnn top red">
+              <br />
+            </td>
           </tr>
           <tr>
             <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="nnns top italic red">
+            <td class="snns top italic red">items</td>
+            <td class="snns top red">item_sd</td>
+            <td class="ssnn top red">
               <br />
             </td>
-            <td class="snns top red">item</td>
-            <td class="snnn top red">
+          </tr>
+          <tr>
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snnn top red">
+            <td class="nnns top italic red">
               <br />
             </td>
+            <td class="snns top red">item_sh</td>
             <td class="ssnn top red">
               <br />
             </td>
           </tr>
           <tr>
-            <td class="nnss top capitalize italic red">
+            <td class="nnns top capitalize italic red">
               <br />
             </td>
-            <td class="snss top italic red">external syntax</td>
-            <td class="snss top red">aarity</td>
-            <td class="snsn top red">
+            <td class="nnns top italic red">
               <br />
             </td>
-            <td class="snsn top red">
+            <td class="snns top red">item</td>
+            <td class="ssnn top red">
               <br />
             </td>
+          </tr>
+          <tr>
+            <td class="nnss top capitalize italic red">
+              <br />
+            </td>
+            <td class="snss top italic red">atomic arities</td>
+            <td class="snss top red">aarity</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: Sat, 21 Jan 2017 15:35:26 +0100</div>
+    <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 22 Jan 2017 20:42:51 +0100</div>
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