polarized binders introduced in basic_2

diff --git a/helm/www/lambda_delta/apps_2.html b/helm/www/lambda_delta/apps_2.html
index a297d98359b00103177864a51a793c0b03a67ff6..6ba6a5517915fd4e4d71b72a923e80c744817232 100644 (file)
--- a/helm/www/lambda_delta/apps_2.html
+++ b/helm/www/lambda_delta/apps_2.html
@@ -32,7 +32,7 @@
    <div class="text">Here is a numerical acount of the specification's contents
          and its timeline.
    </div>
-   <div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns component grey">category</td><td class="snns plane grey">objects</td><td class="snnn number grey"><br/></td><td class="snnn plane grey"><br/></td><td class="snnn number grey"><br/></td><td class="snnn plane grey"><br/></td><td class="ssnn number grey"><br/></td></tr><tr><td class="snns component cyan">sizes</td><td class="snns plane cyan">files</td><td class="snnn number cyan">5</td><td class="snns plane cyan">bytes</td><td class="snnn number cyan">13122</td><td class="snns plane cyan"><br/></td><td class="ssnn number cyan"><br/></td></tr><tr><td class="snns component green">propositions</td><td class="snns plane green">theorems</td><td class="snnn number green">4</td><td class="snns plane green">lemmas</td><td class="snnn number green">1</td><td class="snns plane green">total</td><td class="ssnn number green">5</td></tr><tr><td class="snss component yellow">concepts</td><td class="snss plane yellow">declared</td><td class="snsn number yellow">3</td><td class="snss plane yellow">defined</td><td class="snsn number yellow">10</td><td class="snss plane yellow">total</td><td class="sssn number yellow">13</td></tr></tbody></table></div>
+   <div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns component grey">category</td><td class="snns plane grey">objects</td><td class="snnn number grey"><br/></td><td class="snnn plane grey"><br/></td><td class="snnn number grey"><br/></td><td class="snnn plane grey"><br/></td><td class="ssnn number grey"><br/></td></tr><tr><td class="snns component cyan">sizes</td><td class="snns plane cyan">files</td><td class="snnn number cyan">5</td><td class="snns plane cyan">bytes</td><td class="snnn number cyan">13143</td><td class="snns plane cyan"><br/></td><td class="ssnn number cyan"><br/></td></tr><tr><td class="snns component green">propositions</td><td class="snns plane green">theorems</td><td class="snnn number green">4</td><td class="snns plane green">lemmas</td><td class="snnn number green">1</td><td class="snns plane green">total</td><td class="ssnn number green">5</td></tr><tr><td class="snss component yellow">concepts</td><td class="snss plane yellow">declared</td><td class="snsn number yellow">3</td><td class="snss plane yellow">defined</td><td class="snsn number yellow">10</td><td class="snss plane yellow">total</td><td class="sssn number yellow">13</td></tr></tbody></table></div>
    <ul><li><span class="date">2012 February 24.</span>
          The Applications directory is started.
    </li></ul>
@@ -57,6 +57,6 @@
    <div class="text">The source files are grouped in directories,
          one for each component.
    </div>
-   <div class="spacer"><img class="rule" alt="[Spacer]" title="lambda_delta rainbow rule" src="http://lambda-delta.info/images/rainbow.png"/></div><div class="spacer"><br/></div><div class="spacer"><a href="http://validator.w3.org/check?uri=referer"><img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue"/></a><a href="http://jigsaw.w3.org/css-validator/check/referer"><img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue"/></a><a href="http://www.w3.org/XML/"><img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambda-delta.info/images/xml_xsl2.png"/></a><a href="http://www.w3.org/Graphics/PNG/"><img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambda-delta.info/images/PNGnow2.png"/></a><a href="http://www.anybrowser.org/campaign/"><img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png"/></a></div><div class="spacer"><br/></div><div class="spacer">Last update: 2012-07-13T18:42:36+02:00</div>
+   <div class="spacer"><img class="rule" alt="[Spacer]" title="lambda_delta rainbow rule" src="http://lambda-delta.info/images/rainbow.png"/></div><div class="spacer"><br/></div><div class="spacer"><a href="http://validator.w3.org/check?uri=referer"><img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue"/></a><a href="http://jigsaw.w3.org/css-validator/check/referer"><img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue"/></a><a href="http://www.w3.org/XML/"><img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambda-delta.info/images/xml_xsl2.png"/></a><a href="http://www.w3.org/Graphics/PNG/"><img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambda-delta.info/images/PNGnow2.png"/></a><a href="http://www.anybrowser.org/campaign/"><img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png"/></a></div><div class="spacer"><br/></div><div class="spacer">Last update: 2012-07-26T16:56:08+02:00</div>
 </body>
 </html>

diff --git a/helm/www/lambda_delta/basic_2.html b/helm/www/lambda_delta/basic_2.html
index c4501f60b52ece438469d1a5df7f6dd6f103a001..413f1c44bfe89bc4274d2912f6a8b60716841a41 100644 (file)
--- a/helm/www/lambda_delta/basic_2.html
+++ b/helm/www/lambda_delta/basic_2.html
@@ -18,7 +18,7 @@
    <div class="text">This is a summary of the "block structure"
          of the System's syntactic items and reductions.
    </div>
-   <div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns text grey">domain</td><td class="snns plane grey">block</td><td class="snns text grey">leader</td><td class="snns text grey">applicator (with →θ)*</td><td class="snns text grey">reduction</td><td class="snns text grey">→ζ *</td><td class="ssns text grey">reference *</td></tr><tr><td class="snns text">{X | Γ ⊢ X : W}</td><td class="snns plane wine">typed abstraction **</td><td class="snns text wine">Γ ⊢ λW</td><td class="snns text wine">ⓐV</td><td class="snns text wine">→β</td><td class="snns text wine">no</td><td class="ssns text wine">#i</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane magenta">typed declaration ***</td><td class="snns text magenta">Γ ⊢ pλW</td><td class="snns text magenta">no</td><td class="snns text magenta">no</td><td class="snns text magenta">no</td><td class="ssns text magenta">$p</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane prune">native type annotation *</td><td class="snns text prune">Γ ⊢ ⓝW</td><td class="snns text prune">no</td><td class="snns text prune">no</td><td class="snns text prune">yes</td><td class="ssns text prune">no</td></tr><tr><td class="snns text">{X | Γ ⊢ X = V}</td><td class="snns plane blue">local abbreviation **</td><td class="snns text blue">Γ ⊢ δV</td><td class="snns text blue">no</td><td class="snns text blue">local →δ</td><td class="snns text blue">yes</td><td class="ssns text blue">#i</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane sky">global abbreviation ***</td><td class="snns text sky">Γ ⊢ pδV</td><td class="snns text sky">no</td><td class="snns text sky">global →δ</td><td class="snns text sky">no</td><td class="ssns text sky">$p</td></tr><tr><td class="snss text">no</td><td class="snss plane cyan">sort ****</td><td class="snss text cyan">Γ ⊢ ⋆k</td><td class="snss text cyan">no</td><td class="snss text cyan">no</td><td class="snss text cyan">no</td><td class="ssss text cyan">no</td></tr></tbody></table></div>
+   <div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns text grey">domain</td><td class="snns plane grey">block</td><td class="snns text grey">leader</td><td class="snns text grey">applicator (with →θ)*</td><td class="snns text grey">reduction</td><td class="snns text grey">→ζ *</td><td class="ssns text grey">reference *</td></tr><tr><td class="snns text">{X | Γ ⊢ X : W}</td><td class="snns plane wine">local typed abstraction *</td><td class="snns text wine">Γ ⊢ +λW</td><td class="snns text wine">ⓐV</td><td class="snns text wine">→β</td><td class="snns text wine">no</td><td class="ssns text wine">#i</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane magenta">local typed declaration **</td><td class="snns text magenta">Γ ⊢ -λW</td><td class="snns text magenta">ⓐV</td><td class="snns text magenta">→β</td><td class="snns text magenta">no</td><td class="ssns text magenta">#i</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane prune">global typed declaration ***</td><td class="snns text prune">Γ ⊢ pλW</td><td class="snns text prune">no</td><td class="snns text prune">no</td><td class="snns text prune">no</td><td class="ssns text prune">$p</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane blue">native type annotation *</td><td class="snns text blue">Γ ⊢ ⓝW</td><td class="snns text blue">no</td><td class="snns text blue">no</td><td class="snns text blue">yes</td><td class="ssns text blue">no</td></tr><tr><td class="snns text">{X | Γ ⊢ X = V}</td><td class="snns plane sky">local abbreviation *</td><td class="snns text sky">Γ ⊢ +δV</td><td class="snns text sky">no</td><td class="snns text sky">local →δ</td><td class="snns text sky">yes</td><td class="ssns text sky">#i</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane cyan">local definition **</td><td class="snns text cyan">Γ ⊢ -δV</td><td class="snns text cyan">no</td><td class="snns text cyan">local →δ</td><td class="snns text cyan">no</td><td class="ssns text cyan">#i</td></tr><tr><td class="nnns text"><br/></td><td class="snns plane water">global definition ***</td><td class="snns text water">Γ ⊢ pδV</td><td class="snns text water">no</td><td class="snns text water">global →δ</td><td class="snns text water">no</td><td class="ssns text water">$p</td></tr><tr><td class="snss text">no</td><td class="snss plane green">sort ****</td><td class="snss text green">Γ ⊢ ⋆k</td><td class="snss text green">no</td><td class="snss text green">no</td><td class="snss text green">no</td><td class="ssss text green">no</td></tr></tbody></table></div>
    <div class="text">* In terms only.
         ** In terms and local environments only.
          *** In global environments only.
@@ -29,7 +29,7 @@
    <div class="text">Here is a numerical acount of the specification's contents
          and its timeline.
    </div>
-   <div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns component grey">category</td><td class="snns plane grey">objects</td><td class="snnn number grey"><br/></td><td class="snnn plane grey"><br/></td><td class="snnn number grey"><br/></td><td class="snnn plane grey"><br/></td><td class="ssnn number grey"><br/></td></tr><tr><td class="snns component cyan">sizes</td><td class="snns plane cyan">files</td><td class="snnn number cyan">153</td><td class="snns plane cyan">bytes</td><td class="snnn number cyan">580977</td><td class="snns plane cyan"><br/></td><td class="ssnn number cyan"><br/></td></tr><tr><td class="snns component green">propositions</td><td class="snns plane green">theorems</td><td class="snnn number green">60</td><td class="snns plane green">lemmas</td><td class="snnn number green">669</td><td class="snns plane green">total</td><td class="ssnn number green">729</td></tr><tr><td class="snss component yellow">concepts</td><td class="snss plane yellow">declared</td><td class="snsn number yellow">37</td><td class="snss plane yellow">defined</td><td class="snsn number yellow">50</td><td class="snss plane yellow">total</td><td class="sssn number yellow">87</td></tr></tbody></table></div>
+   <div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns component grey">category</td><td class="snns plane grey">objects</td><td class="snnn number grey"><br/></td><td class="snnn plane grey"><br/></td><td class="snnn number grey"><br/></td><td class="snnn plane grey"><br/></td><td class="ssnn number grey"><br/></td></tr><tr><td class="snns component cyan">sizes</td><td class="snns plane cyan">files</td><td class="snnn number cyan">169</td><td class="snns plane cyan">bytes</td><td class="snnn number cyan">630979</td><td class="snns plane cyan"><br/></td><td class="ssnn number cyan"><br/></td></tr><tr><td class="snns component green">propositions</td><td class="snns plane green">theorems</td><td class="snnn number green">60</td><td class="snns plane green">lemmas</td><td class="snnn number green">715</td><td class="snns plane green">total</td><td class="ssnn number green">775</td></tr><tr><td class="snss component yellow">concepts</td><td class="snss plane yellow">declared</td><td class="snsn number yellow">38</td><td class="snss plane yellow">defined</td><td class="snsn number yellow">54</td><td class="snss plane yellow">total</td><td class="sssn number yellow">92</td></tr></tbody></table></div>
    <ul><li><span class="date">In progress.</span>
          Context-sensitive subject equivalence
         for native type assignment.
@@ -42,6 +42,9 @@
          Extended context-sensitive strong normalization
         for simply typed terms.
    </li></ul>
+   <ul><li><span class="date">2012 July 26.</span>
+         Polarized binders to control ζ reduction.
+   </li></ul>   
    <ul><li><span class="date">2012 April 16.</span>
          Context-sensitive subject equivalence
         for atomic arity assignment
@@ -71,12 +74,12 @@
         The notation for the relations or functions introduced in each file
         is shown in parentheses (? are placeholders).
    </div>
-   <div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns component grey">component</td><td class="snns plane grey">plane</td><td class="snns file grey">files</td><td class="snnn file grey"><br/></td><td class="snnn file grey"><br/></td><td class="snnn file grey"><br/></td><td class="snnn file grey"><br/></td><td class="snnn file grey"><br/></td><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 blue">equivalence</td><td class="snns plane blue">context-sensitive equivalence</td><td class="snns file blue">lcpcs ( ? ⊢ ⬌* ? )</td><td class="snnn file blue">lcpcs_aaa</td><td class="snnn file blue">lcpcs_lcprs</td><td class="snnn file blue">lcpcs_lcpcs</td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="ssnn file blue"><br/></td></tr><tr><td class="nnns component blue"><br/></td><td class="nnns plane blue"><br/></td><td class="snns file blue">cpcs ( ? ⊢ ? ⬌* ? )</td><td class="snnn file blue">cpcs_ltpss</td><td class="snnn file blue">cpcs_delift</td><td class="snnn file blue">cpcs_ltpr</td><td class="snnn file blue">cpcs_cprs</td><td class="snnn file blue">cpcs_cpcs</td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="ssnn file blue"><br/></td></tr><tr><td class="snns component sky">conversion</td><td class="snns plane sky">context-sensitive conversion</td><td class="snns file sky">lcpc ( ? ⊢ ⬌ ? )</td><td class="snnn file sky">lcpc_lcpc</td><td class="snnn file sky"><br/></td><td class="snnn file sky"><br/></td><td class="snnn file sky"><br/></td><td class="snnn file sky"><br/></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">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="snnn file sky"><br/></td><td class="snnn file sky"><br/></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">weakly normalizing computation</td><td class="snns file cyan">cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )</td><td class="snnn file cyan">cpe_cpe</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></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></tr><tr><td class="nnns component cyan"><br/></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</td><td class="snnn file cyan">csn_tstc_vector</td><td class="snnn file cyan">csn_aaa</td><td class="snnn file cyan"><br/></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></tr><tr><td class="nnns component cyan"><br/></td><td class="nnns plane cyan"><br/></td><td class="snns file cyan">csn ( ? ⊢ ⬇* ? )</td><td class="snnn file cyan">csn_alt ( ? ⊢ ⬇⬇* ? )</td><td class="snnn file cyan">csn_lift</td><td class="snnn file cyan">csn_cpr</td><td class="snnn file cyan">csn_lcpr</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></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">context-sensitive computation</td><td class="snns file cyan">lcprs ( ? ⊢ ➡* ? )</td><td class="snnn file cyan">lcprs_aaa</td><td class="snnn file cyan">lcprs_cprs</td><td class="snnn file cyan">lcprs_lcprs</td><td class="snnn file cyan"><br/></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></tr><tr><td class="nnns component cyan"><br/></td><td class="nnns plane cyan"><br/></td><td class="snns file cyan">cprs (? ⊢ ? ➡* ?)</td><td class="snnn file cyan">cprs_lift</td><td class="snnn file cyan">cprs_delift</td><td class="snnn file cyan">cprs_ltpr</td><td class="snnn file cyan">cprs_lcpr</td><td class="snnn file cyan">cprs_cprs</td><td class="snnn file cyan">cprs_lcprs</td><td class="snnn file cyan">cprs_tstc</td><td class="ssnn file cyan">cprs_tstc_vector</td></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">local env. ref. for abstract candidates of reducibility</td><td class="snns file cyan">lsubc ( ? ⊑[?] ? )</td><td class="snnn file cyan">lsubc_ldrop</td><td class="snnn file cyan">lsubc_ldrops</td><td class="snnn file cyan">lsubc_lsuba</td><td class="snnn file cyan"><br/></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></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">support for abstract computation properties</td><td class="snns file cyan">acp</td><td class="snnn file cyan">acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )</td><td class="snnn file cyan">acp_aaa</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></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></tr><tr><td class="snns component water">reducibility</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</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></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">lcpr ( ? ⊢ ➡ ? )</td><td class="snnn file water">lcpr_aaa</td><td class="snnn file water">lcpr_cpr</td><td class="snnn file water">lcpr_lcpr</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></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="nnns plane water"><br/></td><td class="snns file water">cpr ( ? ⊢ ? ➡ ? )</td><td class="snnn file water">cpr_lift</td><td class="snnn file water">cpr_ltpss</td><td class="snnn file water">cpr_delift</td><td class="snnn file water">cpr_ltpr</td><td class="snnn file water">cpr_cpr</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-free normal forms</td><td class="snns file water">twhnf ( 𝐖𝐇𝐍⦃?⦄ )</td><td class="snnn file water">tnf ( 𝐍⦃?⦄ )</td><td class="snnn file water">tnf_tif</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></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-free reduction</td><td class="snns file water">ltpr ( ? ➡ ? )</td><td class="snnn file water">ltpr_ldrop</td><td class="snnn file water">ltpr_tps</td><td class="snnn file water">ltpr_ltpss</td><td class="snnn file water">ltpr_aaa</td><td class="snnn file water">ltpr_ltpr</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="nnns plane water"><br/></td><td class="snns file water">tpr ( ? ➡ ? )</td><td class="snnn file water">tpr_lift</td><td class="snnn file water">tpr_tpss</td><td class="snnn file water">tpr_delift</td><td class="snnn file water">tpr_tpr</td><td class="snnn file water"><br/></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-free reducible forms</td><td class="snns file water">trf ( 𝐑⦃?⦄ )</td><td class="snnn file water">tif ( 𝐈⦃?⦄ )</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></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="snns component green">unwind</td><td class="snns plane green">stratified unwind</td><td class="snns file green">sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )</td><td class="snnn file green">sstas_lift</td><td class="snnn file green">sstas_ltpss</td><td class="snnn file green">sstas_sstas</td><td class="snnn file green"><br/></td><td class="snnn file green"><br/></td><td class="snnn file green"><br/></td><td class="snnn file green"><br/></td><td class="ssnn file green"><br/></td></tr><tr><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</td><td class="snnn file grass">ssta_ltpss</td><td class="snnn file grass">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="snnn file grass"><br/></td><td class="ssnn file grass"><br/></td></tr><tr><td class="nnns component grass"><br/></td><td class="snns plane grass">local env. ref. for atomic arity assignment</td><td class="snns file grass">lsuba ( ? ⁝⊑ ? )</td><td class="snnn file grass">lsuba_ldrop</td><td class="snnn file grass">lsuba_aaa</td><td class="snnn file grass">lsuba_lsuba</td><td class="snnn file grass"><br/></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="nnns component grass"><br/></td><td class="snns plane grass">atomic arity assignment</td><td class="snns file grass">aaa ( ? ⊢ ? ⁝ ? )</td><td class="snnn file grass">aaa_lift</td><td class="snnn file grass">aaa_lifts</td><td class="snnn file grass">aaa_ltpss</td><td class="snnn file grass">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="nnns component grass"><br/></td><td class="snns plane grass">parameters</td><td class="snns file grass">sh</td><td class="snnn file grass">sd</td><td class="snnn file grass"><br/></td><td class="snnn file grass"><br/></td><td class="snnn file grass"><br/></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</td><td class="snnn file yellow">thin_delift</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></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></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</td><td class="snnn file yellow">delift_tpss</td><td class="snnn file yellow">delift_ltpss</td><td class="snnn file yellow">delift_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">partial unfold</td><td class="snns file yellow">ltpss ( ? ▶*[?,?] ? )</td><td class="snnn file yellow">ltpss_ldrop</td><td class="snnn file yellow">ltpss_tps</td><td class="snnn file yellow">ltpss_tpss</td><td class="snnn file yellow">ltpss_ltpss</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></tr><tr><td class="nnns component yellow"><br/></td><td class="nnns plane 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="snnn file yellow"><br/></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></tr><tr><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</td><td class="snnn file yellow">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="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">generic term relocation</td><td class="snns file yellow">lifts_vector ( ⇧*[?] ? ≡ ? )</td><td class="snnn file yellow">lifts_lift_vector</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></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></tr><tr><td class="nnns component yellow"><br/></td><td class="nnns plane yellow"><br/></td><td class="snns file yellow">lifts ( ⇧*[?] ? ≡ ? )</td><td class="snnn file yellow">lifts_lift</td><td class="snnn file yellow">lifts_lifts</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></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></tr><tr><td class="nnns component yellow"><br/></td><td class="snns plane yellow">support for generic relocation</td><td class="snns file yellow">gr2 ( @ [?] ? ≡ ? )</td><td class="snnn file yellow">gr2_plus ( ? + ? )</td><td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td><td class="snnn file yellow">gr2_gr2</td><td class="snnn file yellow"><br/></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></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</td><td class="snnn file orange">tps_tps</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></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></tr><tr><td class="nnns component orange"><br/></td><td class="snns plane orange">global env. slicing</td><td class="snns file orange">gdrop ( ⇩[?] ? ≡ ? )</td><td class="snnn file orange">gdrop_gdrop</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></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></tr><tr><td class="nnns component orange"><br/></td><td class="snns plane orange">basic local env. slicing</td><td class="snns file orange">ldrop ( ⇩[?,?] ? ≡ ? )</td><td class="snnn file orange">ldrop_ldrop</td><td class="snnn file orange">ldrop_sfr</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></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></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="snnn file orange"><br/></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></tr><tr><td class="nnns component orange"><br/></td><td class="snns plane orange">basic term relocation</td><td class="snns file orange">lift_vector ( ⇧[?,?] ? ≡ ? )</td><td class="snnn file orange">lift_lift_vector</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></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></tr><tr><td class="nnns component orange"><br/></td><td class="nnns plane orange"><br/></td><td class="snns file orange">lift ( ⇧[?,?] ? ≡ ? )</td><td class="snnn file orange">lift_lift</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></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></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="snnn file red"><br/></td><td class="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="snns plane red">same top term constructor</td><td class="snns file red">tstc ( ? ≃ ? )</td><td class="snnn file red">tstc_tstc</td><td class="snnn file red">tstc_vector</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="snns plane red">closures</td><td class="snns file red">cl_shift ( ? @@ ? )</td><td class="snnn file red">cl_weight ( #[?,?] )</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="snns plane red">internal syntax</td><td class="snns file red">genv</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="nnns plane 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"><br/></td><td class="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="nnns plane red"><br/></td><td class="snns file red">term</td><td class="snnn file red">term_weight ( #[?] )</td><td class="snnn file red">term_simple ( 𝐒⦃?⦄ )</td><td class="snnn file red">term_vector</td><td class="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="nnns plane red"><br/></td><td class="snns file red">item</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></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></tr><tr><td class="nnss component red"><br/></td><td class="snss plane red">external syntax</td><td class="snss file red">aarity</td><td class="snsn file red"><br/></td><td class="snsn file red"><br/></td><td class="snsn file red"><br/></td><td class="snsn file red"><br/></td><td class="snsn 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></tr></tbody></table></div>
+   <div class="text"><table cellpadding="4" cellspacing="0"><tbody><tr><td class="snns component grey">component</td><td class="snns plane grey">plane</td><td class="snns file grey">files</td><td class="snnn file grey"><br/></td><td class="snnn file grey"><br/></td><td class="snnn file grey"><br/></td><td class="snnn file grey"><br/></td><td class="snnn file grey"><br/></td><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">stratified native validity</td><td class="snns file prune">snv ( ⦃?,?⦄ ⊩ ? :[?] )</td><td class="snnn file prune">snv_lift</td><td class="snnn file prune">snv_aaa</td><td class="snnn file prune"><br/></td><td class="snnn file prune"><br/></td><td class="snnn file prune"><br/></td><td class="snnn file prune"><br/></td><td class="snnn file prune"><br/></td><td class="ssnn file prune"><br/></td></tr><tr><td class="snns component blue">equivalence</td><td class="snns plane blue">context-sensitive equivalence</td><td class="snns file blue">lcpcs ( ? ⊢ ⬌* ? )</td><td class="snnn file blue">lcpcs_aaa</td><td class="snnn file blue">lcpcs_lcprs</td><td class="snnn file blue">lcpcs_lcpcs</td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="ssnn file blue"><br/></td></tr><tr><td class="nnns component blue"><br/></td><td class="nnns plane blue"><br/></td><td class="snns file blue">cpcs ( ? ⊢ ? ⬌* ? )</td><td class="snnn file blue">cpcs_ltpss</td><td class="snnn file blue">cpcs_delift</td><td class="snnn file blue">cpcs_ltpr</td><td class="snnn file blue">cpcs_cprs</td><td class="snnn file blue">cpcs_cpcs</td><td class="snnn file blue"><br/></td><td class="snnn file blue"><br/></td><td class="ssnn file blue"><br/></td></tr><tr><td class="snns component sky">conversion</td><td class="snns plane sky">context-sensitive conversion</td><td class="snns file sky">lcpc ( ? ⊢ ⬌ ? )</td><td class="snnn file sky">lcpc_lcpc</td><td class="snnn file sky"><br/></td><td class="snnn file sky"><br/></td><td class="snnn file sky"><br/></td><td class="snnn file sky"><br/></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">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="snnn file sky"><br/></td><td class="snnn file sky"><br/></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">extended computation</td><td class="snns file cyan">xprs ( ⦃?,?⦄ ⊢ ? ➸*[?] ? )</td><td class="snnn file cyan">xprs_lift</td><td class="snnn file cyan">xprs_aaa</td><td class="snnn file cyan">xprs_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="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">weakly normalizing computation</td><td class="snns file cyan">cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )</td><td class="snnn file cyan">cpe_cpe</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></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></tr><tr><td class="nnns component cyan"><br/></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</td><td class="snnn file cyan">csn_tstc_vector</td><td class="snnn file cyan">csn_aaa</td><td class="snnn file cyan"><br/></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></tr><tr><td class="nnns component cyan"><br/></td><td class="nnns plane cyan"><br/></td><td class="snns file cyan">csn ( ? ⊢ ⬊* ? )</td><td class="snnn file cyan">csn_alt ( ? ⊢ ⬊⬊* ? )</td><td class="snnn file cyan">csn_lift</td><td class="snnn file cyan">csn_cpr</td><td class="snnn file cyan">csn_lcpr</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></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">context-sensitive computation</td><td class="snns file cyan">lcprs ( ? ⊢ ➡* ? )</td><td class="snnn file cyan">lcprs_aaa</td><td class="snnn file cyan">lcprs_cprs</td><td class="snnn file cyan">lcprs_lcprs</td><td class="snnn file cyan"><br/></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></tr><tr><td class="nnns component cyan"><br/></td><td class="nnns plane cyan"><br/></td><td class="snns file cyan">cprs (? ⊢ ? ➡* ?)</td><td class="snnn file cyan">cprs_lift</td><td class="snnn file cyan">cprs_delift</td><td class="snnn file cyan">cprs_ltpr</td><td class="snnn file cyan">cprs_lcpr</td><td class="snnn file cyan">cprs_cprs</td><td class="snnn file cyan">cprs_lcprs</td><td class="snnn file cyan">cprs_tstc</td><td class="ssnn file cyan">cprs_tstc_vector</td></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">local env. ref. for abstract candidates of reducibility</td><td class="snns file cyan">lsubc ( ? ⊑[?] ? )</td><td class="snnn file cyan">lsubc_ldrop</td><td class="snnn file cyan">lsubc_ldrops</td><td class="snnn file cyan">lsubc_lsuba</td><td class="snnn file cyan"><br/></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></tr><tr><td class="nnns component cyan"><br/></td><td class="snns plane cyan">support for abstract computation properties</td><td class="snns file cyan">acp</td><td class="snnn file cyan">acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )</td><td class="snnn file cyan">acp_aaa</td><td class="snnn file cyan"><br/></td><td class="snnn file cyan"><br/></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></tr><tr><td class="snns component water">reducibility</td><td class="snns plane water">extended reduction</td><td class="snns file water">xpr ( ⦃?,?⦄ ⊢ ? ➸[?] ? )</td><td class="snnn file water">xpr_lift</td><td class="snnn file water">xpr_aaa</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></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</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></td><td class="snnn file water">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">lcpr ( ? ⊢ ➡ ? )</td><td class="snnn file water">lcpr_aaa</td><td class="snnn file water">lcpr_cpr</td><td class="snnn file water">lcpr_lcpr</td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></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="nnns plane water"><br/></td><td class="snns file water">cpr ( ? ⊢ ? ➡ ? )</td><td class="snnn file water">cpr_lift</td><td class="snnn file water">cpr_ltpss</td><td class="snnn file water">cpr_delift</td><td class="snnn file water">cpr_ltpr</td><td class="snnn file water">cpr_cpr</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 reducible forms</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="snnn file water"><br/></td><td class="snnn file water"><br/></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-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"><br/></td><td class="snnn file water"><br/></td><td class="snnn file water"><br/></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-free reduction</td><td class="snns file water">ltpr ( ? ➡ ? )</td><td class="snnn file water">ltpr_ldrop</td><td class="snnn file water">ltpr_tps</td><td class="snnn file water">ltpr_ltpss</td><td class="snnn file water">ltpr_aaa</td><td class="snnn file water">ltpr_ltpr</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="nnns plane water"><br/></td><td class="snns file water">tpr ( ? ➡ ? )</td><td class="snnn file water">tpr_lift</td><td class="snnn file water">tpr_tpss</td><td class="snnn file water">tpr_delift</td><td class="snnn file water">tpr_tpr</td><td class="snnn file water"><br/></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="snns component green">unwind</td><td class="snns plane green"><br/></td><td class="snns file green"><br/></td><td class="snnn file green"><br/></td><td class="snnn file green"><br/></td><td class="snnn file green"><br/></td><td class="snnn file green"><br/></td><td class="snnn file green"><br/></td><td class="snnn file green"><br/></td><td class="snnn file green"><br/></td><td class="ssnn file green"><br/></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</td><td class="snnn file grass">lsubss_ssta</td><td class="snnn file grass">lsubss_lsubss</td><td class="snnn file grass"><br/></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="nnns component grass"><br/></td><td class="snns plane grass">stratified static type assignment</td><td class="snns file grass">ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )</td><td class="snnn file grass">ssta_lift</td><td class="snnn file grass">ssta_ltpss</td><td class="snnn file grass">ssta_aaa</td><td class="snnn file grass">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></tr><tr><td class="nnns component grass"><br/></td><td class="snns plane grass">local env. ref. for atomic arity assignment</td><td class="snns file grass">lsuba ( ? ⁝⊑ ? )</td><td class="snnn file grass">lsuba_ldrop</td><td class="snnn file grass">lsuba_aaa</td><td class="snnn file grass">lsuba_lsuba</td><td class="snnn file grass"><br/></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="nnns component grass"><br/></td><td class="snns plane grass">atomic arity assignment</td><td class="snns file grass">aaa ( ? ⊢ ? ⁝ ? )</td><td class="snnn file grass">aaa_lift</td><td class="snnn file grass">aaa_lifts</td><td class="snnn file grass">aaa_ltpss</td><td class="snnn file grass">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="nnns component grass"><br/></td><td class="snns plane grass">parameters</td><td class="snns file grass">sh</td><td class="snnn file grass">sd</td><td class="snnn file grass"><br/></td><td class="snnn file grass"><br/></td><td class="snnn file grass"><br/></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</td><td class="snnn file yellow">thin_delift</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></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></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</td><td class="snnn file yellow">delift_tpss</td><td class="snnn file yellow">delift_ltpss</td><td class="snnn file yellow">delift_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">partial unfold</td><td class="snns file yellow">ltpss ( ? ▶*[?,?] ? )</td><td class="snnn file yellow">ltpss_ldrop</td><td class="snnn file yellow">ltpss_tps</td><td class="snnn file yellow">ltpss_tpss</td><td class="snnn file yellow">ltpss_ltpss</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></tr><tr><td class="nnns component yellow"><br/></td><td class="nnns plane 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="snnn file yellow"><br/></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></tr><tr><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</td><td class="snnn file yellow">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="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">generic term relocation</td><td class="snns file yellow">lifts_vector ( ⇧*[?] ? ≡ ? )</td><td class="snnn file yellow">lifts_lift_vector</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></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></tr><tr><td class="nnns component yellow"><br/></td><td class="nnns plane yellow"><br/></td><td class="snns file yellow">lifts ( ⇧*[?] ? ≡ ? )</td><td class="snnn file yellow">lifts_lift</td><td class="snnn file yellow">lifts_lifts</td><td class="snnn file yellow"><br/></td><td class="snnn file yellow"><br/></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></tr><tr><td class="nnns component yellow"><br/></td><td class="snns plane yellow">support for generic relocation</td><td class="snns file yellow">gr2 ( @⦃?,?⦄ ≡ ? )</td><td class="snnn file yellow">gr2_plus ( ? + ? )</td><td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td><td class="snnn file yellow">gr2_gr2</td><td class="snnn file yellow"><br/></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></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</td><td class="snnn file orange">tps_tps</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></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></tr><tr><td class="nnns component orange"><br/></td><td class="snns plane orange">global env. slicing</td><td class="snns file orange">gdrop ( ⇩[?] ? ≡ ? )</td><td class="snnn file orange">gdrop_gdrop</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></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></tr><tr><td class="nnns component orange"><br/></td><td class="snns plane orange">basic local env. slicing</td><td class="snns file orange">ldrop ( ⇩[?,?] ? ≡ ? )</td><td class="snnn file orange">ldrop_append</td><td class="snnn file orange">ldrop_sfr</td><td class="snnn file orange">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="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="snnn file orange"><br/></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></tr><tr><td class="nnns component orange"><br/></td><td class="snns plane orange">basic term relocation</td><td class="snns file orange">lift_vector ( ⇧[?,?] ? ≡ ? )</td><td class="snnn file orange">lift_lift_vector</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></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></tr><tr><td class="nnns component orange"><br/></td><td class="nnns plane orange"><br/></td><td class="snns file orange">lift ( ⇧[?,?] ? ≡ ? )</td><td class="snnn file orange">lift_lift</td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></td><td class="snnn file orange"><br/></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></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="snnn file red"><br/></td><td class="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="snns plane red">same top term constructor</td><td class="snns file red">tstc ( ? ≃ ? )</td><td class="snnn file red">tstc_tstc</td><td class="snnn file red">tstc_vector</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="snns plane red">closures</td><td class="snns file red">cl_shift ( ? @@ ? )</td><td class="snnn file red">cl_weight ( #{?,?} )</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="snns plane red">internal syntax</td><td class="snns file red">genv</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="nnns plane 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="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="nnns plane red"><br/></td><td class="snns file red">term</td><td class="snnn file red">term_weight ( #{?} )</td><td class="snnn file red">term_simple ( 𝐒⦃?⦄ )</td><td class="snnn file red">term_vector</td><td class="snnn file red"><br/></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></tr><tr><td class="nnns component red"><br/></td><td class="nnns plane red"><br/></td><td class="snns file red">item</td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></td><td class="snnn file red"><br/></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></tr><tr><td class="nnss component red"><br/></td><td class="snss plane red">external syntax</td><td class="snss file red">aarity</td><td class="snsn file red"><br/></td><td class="snsn file red"><br/></td><td class="snsn file red"><br/></td><td class="snsn file red"><br/></td><td class="snsn 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></tr></tbody></table></div>
 
    <div class="head2">Physical Structure of the Specification</div>
    <div class="text">The source files are grouped in directories,
          one for each component.
    </div>
-   <div class="spacer"><img class="rule" alt="[Spacer]" title="lambda_delta rainbow rule" src="http://lambda-delta.info/images/rainbow.png"/></div><div class="spacer"><br/></div><div class="spacer"><a href="http://validator.w3.org/check?uri=referer"><img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue"/></a><a href="http://jigsaw.w3.org/css-validator/check/referer"><img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue"/></a><a href="http://www.w3.org/XML/"><img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambda-delta.info/images/xml_xsl2.png"/></a><a href="http://www.w3.org/Graphics/PNG/"><img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambda-delta.info/images/PNGnow2.png"/></a><a href="http://www.anybrowser.org/campaign/"><img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png"/></a></div><div class="spacer"><br/></div><div class="spacer">Last update: 2012-07-13T18:55:07+02:00</div>
+   <div class="spacer"><img class="rule" alt="[Spacer]" title="lambda_delta rainbow rule" src="http://lambda-delta.info/images/rainbow.png"/></div><div class="spacer"><br/></div><div class="spacer"><a href="http://validator.w3.org/check?uri=referer"><img class="w3c" alt="[Valid XHTML 1.1]" title="Valid XHTML 1.1" src="http://www.w3.org/Icons/valid-xhtml11-blue"/></a><a href="http://jigsaw.w3.org/css-validator/check/referer"><img class="w3c" alt="[Valid CSS level 2]" title="Valid CSS level 2" src="http://www.w3.org/Icons/valid-css2-blue"/></a><a href="http://www.w3.org/XML/"><img class="w3c" alt="[Generated from XML via XSL]" title="Generated from XML via XSL" src="http://lambda-delta.info/images/xml_xsl2.png"/></a><a href="http://www.w3.org/Graphics/PNG/"><img class="w3c" alt="[PNG used here]" title="PNG used here" src="http://lambda-delta.info/images/PNGnow2.png"/></a><a href="http://www.anybrowser.org/campaign/"><img class="w3c" alt="[Viewable with any browser]" title="Viewable with any browser" src="http://www.anybrowser.org/campaign/bvgraphics/abtfile.png"/></a></div><div class="spacer"><br/></div><div class="spacer">Last update: 2012-07-26T16:59:06+02:00</div>
 </body>
 </html>

diff --git a/helm/www/lambda_delta/web/home/basic_2.ldw.xml b/helm/www/lambda_delta/web/home/basic_2.ldw.xml
index ce35fd342ddb5728bfbb1919e8797353b12be481..51995e4fef492cdc4653b4a69f6bc55b24becc31 100644 (file)
--- a/helm/www/lambda_delta/web/home/basic_2.ldw.xml
+++ b/helm/www/lambda_delta/web/home/basic_2.ldw.xml
@@ -33,6 +33,9 @@
          Extended context-sensitive strong normalization
         for simply typed terms.
    </news>
+   <news date="2012 July 26.">
+         Polarized binders to control ζ reduction.
+   </news>   
    <news date="2012 April 16.">
          Context-sensitive subject equivalence
         for atomic arity assignment

diff --git a/helm/www/lambda_delta/web/home/basic_2_blk.tbl b/helm/www/lambda_delta/web/home/basic_2_blk.tbl
index 8c4ee482733d1d38ac99250a069898dde70cf848..ed50adf79e14310e06514b8bfa869f724d4bb13d 100644 (file)
--- a/helm/www/lambda_delta/web/home/basic_2_blk.tbl
+++ b/helm/www/lambda_delta/web/home/basic_2_blk.tbl
@@ -9,30 +9,38 @@ table {
    } ]
    [ { "{X | Γ ⊢ X : W}" * } {
       class "wine" [
-         [ "typed abstraction **" ] [ "Γ ⊢ λW" ]
+         [ "local typed abstraction *" ] [ "Γ ⊢ +λW" ]
          [ "ⓐV" ] [ "→β" ] [ "no" ] [ "#i" ]
       ]
       class "magenta" [
-         [ "typed declaration ***" ] [ "Γ ⊢ pλW" ] 
-        [ "no" ] [ "no" ] [ "no" ] [ "$p" ]
+         [ "local typed declaration **" ] [ "Γ ⊢ -λW" ]
+         [ "ⓐV" ] [ "→β" ] [ "no" ] [ "#i" ]
       ]
       class "prune" [
+         [ "global typed declaration ***" ] [ "Γ ⊢ pλW" ] 
+        [ "no" ] [ "no" ] [ "no" ] [ "$p" ]
+      ]
+      class "blue" [
          [ "native type annotation *" ] [ "Γ ⊢ ⓝW" ]
         [ "no" ] [ "no" ] [ "yes" ] [ "no" ]
       ]
    } ]
    [ { "{X | Γ ⊢ X = V}" * } {
-      class "blue" [
-         [ "local abbreviation **" ] [ "Γ ⊢ δV" ] 
+      class "sky" [
+         [ "local abbreviation *" ] [ "Γ ⊢ +δV" ] 
          [ "no" ] [ "local →δ" ] [ "yes" ] [ "#i" ]
       ]
-      class "sky" [
-         [ "global abbreviation ***" ] [ "Γ ⊢ pδV" ]
+      class "cyan" [
+         [ "local definition **" ] [ "Γ ⊢ -δV" ] 
+         [ "no" ] [ "local →δ" ] [ "no" ] [ "#i" ]
+      ]      
+      class "water" [
+         [ "global definition ***" ] [ "Γ ⊢ pδV" ]
          [ "no" ] [ "global →δ" ] [ "no" ] [ "$p" ]
       ]
    } ]
    [ { "no" * } {
-      class "cyan" [
+      class "green" [
          [ "sort ****" ] [ "Γ ⊢ ⋆k" ]
         [ "no" ] [ "no" ] [ "no" ] [ "no" ]
       ]
@@ -42,4 +50,3 @@ table {
 class "text" { 0 } { 2 * }
 
 class "plane" { 1 }
-

diff --git a/helm/www/lambda_delta/web/home/basic_2_src.tbl b/helm/www/lambda_delta/web/home/basic_2_src.tbl
index 5881202bf04efd9a6e7a7fdb3d9012cbd6364de0..2e58de4dc8546ce657d498dd5561ea2bf4cd679e 100644 (file)
--- a/helm/www/lambda_delta/web/home/basic_2_src.tbl
+++ b/helm/www/lambda_delta/web/home/basic_2_src.tbl
@@ -5,7 +5,7 @@ table {
    [ { "component" * } {
         [ { "plane" * } { 
              [ "files" * ]
-         }
+          }
         ]
      }
    ]
@@ -13,123 +13,147 @@ table {
    class "wine"
    [ { "examples" * } {
         [ { "" * } {
-            [ "" * ]
-         }
+             [ "" * ]
+          }
         ]
      }
    ]
    class "magenta"
    [ { "higher order dynamic typing" * } {
         [ { "higher order native type assignment" * } {
-            [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
-         }
+             [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
+          }
         ]
      }
-   ]   
+   ]
+*)
    class "prune"
    [ { "dynamic typing" * } {
+(*        
         [ { "local env. ref. for native type assignment" * } {
-            [ "lsubn ( ? ⊢ ? :⊑ ? )" "lsubn_ldrop" "lsubn_cpcs" "lsubn_nta" * ]
-         }
+             [ "lsubn ( ? ⊢ ? :⊑ ? )" "lsubn_ldrop" "lsubn_cpcs" "lsubn_nta" * ]
+          }
         ]
         [ { "native type assignment" * } {
-            [ "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ]
-         }
+             [ "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ]
+          }
+        ]
+*)
+        [ { "stratified native validity" * } {
+             [ "snv ( ⦃?,?⦄ ⊩ ? :[?] )" "snv_lift" "snv_aaa" * ]
+          }
         ]
      }
    ]
-*)
    class "blue"
    [ { "equivalence" * } {
         [ { "context-sensitive equivalence" * } {
-            [ "lcpcs ( ? ⊢ ⬌* ? )" "lcpcs_aaa" "lcpcs_lcprs" "lcpcs_lcpcs" * ]
-            [ "cpcs ( ? ⊢ ? ⬌* ? )" "cpcs_ltpss" "cpcs_delift" "cpcs_ltpr" "cpcs_cprs" "cpcs_cpcs" * ]
-         }
+             [ "lcpcs ( ? ⊢ ⬌* ? )" "lcpcs_aaa" "lcpcs_lcprs" "lcpcs_lcpcs" * ]
+             [ "cpcs ( ? ⊢ ? ⬌* ? )" "cpcs_ltpss" "cpcs_delift" "cpcs_ltpr" "cpcs_cprs" "cpcs_cpcs" * ]
+          }
         ]
      }
    ]
    class "sky"
    [ { "conversion" * } {
         [ { "context-sensitive conversion" * } {
-            [ "lcpc ( ? ⊢ ⬌ ? )" "lcpc_lcpc" * ]        
-            [ "cpc ( ? ⊢ ? ⬌ ? )" "cpc_cpc" * ]
-         }
+             [ "lcpc ( ? ⊢ ⬌ ? )" "lcpc_lcpc" * ]        
+             [ "cpc ( ? ⊢ ? ⬌ ? )" "cpc_cpc" * ]
+          }
         ]
      }
    ]
    class "cyan"
    [ { "computation" * } {
+        [ { "extended computation" * } {
+             [ "xprs ( ⦃?,?⦄ ⊢ ? ➸*[?] ? )" "xprs_lift" "xprs_aaa" "xprs_cprs" * ]
+          }
+        ]
         [ { "weakly normalizing computation" * } {
-            [ "cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )" "cpe_cpe" * ]
-         }
-       ]
-       [ { "strongly normalizing computation" * } {
-            [ "csn_vector ( ? ⊢ ⬇* ? )" "csn_cpr_vector" "csn_tstc_vector" "csn_aaa" * ]
-            [ "csn ( ? ⊢ ⬇* ? )" "csn_alt ( ? ⊢ ⬇⬇* ? )" "csn_lift" "csn_cpr" "csn_lcpr" * ]
-         }
+             [ "cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )" "cpe_cpe" * ]
+          }
+        ]
+        [ { "strongly normalizing computation" * } {
+             [ "csn_vector ( ? ⊢ ⬊* ? )" "csn_cpr_vector" "csn_tstc_vector" "csn_aaa" * ]
+             [ "csn ( ? ⊢ ⬊* ? )" "csn_alt ( ? ⊢ ⬊⬊* ? )" "csn_lift" "csn_cpr" "csn_lcpr" * ]
+          }
         ]
         [ { "context-sensitive computation" * } {
-            [ "lcprs ( ? ⊢ ➡* ? )" "lcprs_aaa" "lcprs_cprs" "lcprs_lcprs" * ]
-            [ "cprs (? ⊢ ? ➡* ?)" "cprs_lift" "cprs_delift" "cprs_ltpr" "cprs_lcpr" "cprs_cprs" "cprs_lcprs" "cprs_tstc" "cprs_tstc_vector" * ]
-         }
+             [ "lcprs ( ? ⊢ ➡* ? )" "lcprs_aaa" "lcprs_cprs" "lcprs_lcprs" * ]
+             [ "cprs (? ⊢ ? ➡* ?)" "cprs_lift" "cprs_delift" "cprs_ltpr" "cprs_lcpr" "cprs_cprs" "cprs_lcprs" "cprs_tstc" "cprs_tstc_vector" * ]
+          }
         ]
         [ { "local env. ref. for abstract candidates of reducibility" * } {
-            [ "lsubc ( ? ⊑[?] ? )" "lsubc_ldrop" "lsubc_ldrops" "lsubc_lsuba" * ]
-         }
+             [ "lsubc ( ? ⊑[?] ? )" "lsubc_ldrop" "lsubc_ldrops" "lsubc_lsuba" * ]
+          }
         ]
         [ { "support for abstract computation properties" * } {
-            [ "acp" "acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
+             [ "acp" "acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
           }
-       ]
+        ]
      }
    ]
    class "water"
    [ { "reducibility" * } {
+        [ { "extended reduction" * } {
+             [ "xpr ( ⦃?,?⦄ ⊢ ? ➸[?] ? )" "xpr_lift" "xpr_aaa" * ]
+          }
+        ]
         [ { "context-sensitive normal forms" * } {
-            [ "cnf ( ? ⊢ 𝐍⦃?⦄ )" "cnf_lift" * ]
+             [ "cnf ( ? ⊢ 𝐍⦃?⦄ )" "cnf_lift" *"cnf_cif" * ]
+          }
+        ]       
+        [ { "context-sensitive reduction" * } {
+             [ "lcpr ( ? ⊢ ➡ ? )" "lcpr_aaa" "lcpr_cpr" "lcpr_lcpr" * ]
+             [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" "cpr_ltpss" "cpr_delift" "cpr_ltpr" "cpr_cpr" * ]
+          }
+        ]
+        [ { "context-sensitive reducible forms" * } {
+             [ "crf ( ? ⊢ 𝐑⦃?⦄ )" "crf_append" "cif ( ? ⊢ 𝐈⦃?⦄ )" "cif_append" * ]
           }
-       ]       
-       [ { "context-sensitive reduction" * } {
-            [ "lcpr ( ? ⊢ ➡ ? )" "lcpr_aaa" "lcpr_cpr" "lcpr_lcpr" * ]
-            [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" "cpr_ltpss" "cpr_delift" "cpr_ltpr" "cpr_cpr" * ]
-         }
         ]
         [ { "context-free normal forms" * } {
-            [ "twhnf ( 𝐖𝐇𝐍⦃?⦄ )" "tnf ( 𝐍⦃?⦄ )" "tnf_tif" * ]
+             [ "thnf ( 𝐇𝐍⦃?⦄ )"   * ]
           }
-       ]
+        ]
         [ { "context-free reduction" * } {
-            [ "ltpr ( ? ➡ ? )" "ltpr_ldrop" "ltpr_tps" "ltpr_ltpss" "ltpr_aaa" "ltpr_ltpr" * ]
-            [ "tpr ( ? ➡ ? )"  "tpr_lift" "tpr_tpss" "tpr_delift" "tpr_tpr" * ]
-          }
-       ]
-        [ { "context-free reducible forms" * } {
-            [ "trf ( 𝐑⦃?⦄ )" "tif ( 𝐈⦃?⦄ )" * ]
+             [ "ltpr ( ? ➡ ? )" "ltpr_ldrop" "ltpr_tps" "ltpr_ltpss" "ltpr_aaa" "ltpr_ltpr" * ]
+             [ "tpr ( ? ➡ ? )"  "tpr_lift" "tpr_tpss" "tpr_delift" "tpr_tpr" * ]
           }
-       ]
+        ]
      }
    ]
    class "green"
    [ { "unwind" * } {
-        [ { "stratified unwind" * } {
-            [ "sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )" "sstas_lift" "sstas_ltpss" "sstas_sstas" * ]
+        [ { "" * } {
+             [ "" * ]
           }
-       ]
+        ]
      }
    ]
+(*
+        [ { "stratified unwind" * } {
+             [ "sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )" "sstas_lift" "sstas_ltpss" "sstas_sstas" * ]
+          }
+        ]
+*)
    class "grass"
    [ { "static typing" * } {
+        [ { "local env. ref. for stratified static type assignment" * } {
+             [ "lsubss ( ? ⁝⊑ ? )" "lsubss_ldrop" "lsubss_ssta" "lsubss_lsubss" * ]
+          }
+        ]
         [ { "stratified static type assignment" * } {
-            [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" "ssta_ltpss" "ssta_ssta" * ]
+             [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" "ssta_ltpss" "ssta_aaa" "ssta_ssta" * ]
           }
-       ]
+        ]
         [ { "local env. ref. for atomic arity assignment" * } {
-            [ "lsuba ( ? ⁝⊑ ? )" "lsuba_ldrop" "lsuba_aaa" "lsuba_lsuba" * ]
-         }
+             [ "lsuba ( ? ⁝⊑ ? )" "lsuba_ldrop" "lsuba_aaa" "lsuba_lsuba" * ]
+          }
         ]
         [ { "atomic arity assignment" * } {
-            [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" "aaa_lifts" "aaa_ltpss" "aaa_aaa" * ]
-         }
+             [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" "aaa_lifts" "aaa_ltpss" "aaa_aaa" * ]
+          }
         ]
         [ { "parameters" * } {
              [ "sh" "sd" * ]
@@ -140,53 +164,53 @@ table {
    class "yellow"
    [ { "unfold" * } {
         [ { "basic local env. thinning" * } {
-            [ "thin ( ? ▼*[?,?] ≡ ? )" "thin_ldrop" "thin_delift" * ]
+             [ "thin ( ? ▼*[?,?] ≡ ? )" "thin_ldrop" "thin_delift" * ]
           }
-       ]        
-       [ { "inverse basic term relocation" * } {
-            [ "delift ( ? ⊢ ? ▼*[?,?] ≡ ? )" "delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )" "delift_lift" "delift_tpss" "delift_ltpss" "delift_delift" * ]
+        ]        
+        [ { "inverse basic term relocation" * } {
+             [ "delift ( ? ⊢ ? ▼*[?,?] ≡ ? )" "delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )" "delift_lift" "delift_tpss" "delift_ltpss" "delift_delift" * ]
           }
-       ]
-       [ { "partial unfold" * } {
+        ]
+        [ { "partial unfold" * } {
              [ "ltpss ( ? ▶*[?,?] ? )" "ltpss_ldrop" "ltpss_tps" "ltpss_tpss" "ltpss_ltpss" * ] 
-            [ "tpss ( ? ⊢ ? ▶*[?,?] ? )" "tpss_alt ( ? ⊢ ? ▶▶*[?,?] ? )" "tpss_lift" "tpss_tpss" * ]
+             [ "tpss ( ? ⊢ ? ▶*[?,?] ? )" "tpss_alt ( ? ⊢ ? ▶▶*[?,?] ? )" "tpss_lift" "tpss_tpss" * ]
           }
-       ]
-       [ { "generic local env. slicing" * } { 
-            [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" "ldrops_ldrops" * ]
+        ]
+        [ { "generic local env. slicing" * } { 
+             [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" "ldrops_ldrops" * ]
           }
-       ]
-       [ { "generic term relocation" * } {
-            [ "lifts_vector ( ⇧*[?] ? ≡ ? )" "lifts_lift_vector" * ]
-            [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" "lifts_lifts" * ] 
+        ]
+        [ { "generic term relocation" * } {
+             [ "lifts_vector ( ⇧*[?] ? ≡ ? )" "lifts_lift_vector" * ]
+             [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" "lifts_lifts" * ] 
           }
-       ]
-       [ { "support for generic relocation" * } { 
-            [ "gr2 ( @ [?] ? ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ]
+        ]
+        [ { "support for generic relocation" * } { 
+             [ "gr2 ( @⦃?,?⦄ ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ]
           }
-       ]
+        ]
      }
    ]
    class "orange"   
    [ { "substitution" * } { 
         [ { "parallel substitution" * } {
-            [ "tps ( ? ⊢ ? ▶[?,?] ? )" "tps_lift" "tps_tps" * ]
+             [ "tps ( ? ⊢ ? ▶[?,?] ? )" "tps_lift" "tps_tps" * ]
           }
-       ]
-       [ { "global env. slicing" * } {
+        ]
+        [ { "global env. slicing" * } {
              [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
           }
-       ]
-       [ { "basic local env. slicing" * } {
-             [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_ldrop" "ldrop_sfr" * ]
+        ]
+        [ { "basic local env. slicing" * } {
+             [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" "ldrop_sfr" "ldrop_ldrop" * ]
           }
-       ]
+        ]
         [ { "local env. ref. for substitution" * } {
              [ "lsubs ( ? ≼[?,?] ? )" "lsubs_lsubs" "lsubs_sfr ( ≽[?,?] ? )" * ]
           }
-       ]
+        ]
         [ { "basic term relocation" * } {
-            [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ]
+             [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ]
              [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_lift" * ]
           }
         ]
@@ -194,29 +218,29 @@ table {
    ]
    class "red"   
    [ { "grammar" * } {
-       [ { "same head term form" * } {
+        [ { "same head term form" * } {
              [ "tshf ( ? ≈ ? )" "tshf_tshf" * ]
           }
-       ]
-       [ { "same top term constructor" * } {
+        ]
+        [ { "same top term constructor" * } {
              [ "tstc ( ? ≃ ? )" "tstc_tstc" "tstc_vector" * ]
           }
-       ]
-       [ { "closures" * } {
-             [ "cl_shift ( ? @@ ? )" "cl_weight ( #[?,?] )" * ]
+        ]
+        [ { "closures" * } {
+             [ "cl_shift ( ? @@ ? )" "cl_weight ( #{?,?} )" * ]
           }
-       ]
+        ]
         [ { "internal syntax" * } {
              [ "genv" * ]
-            [ "lenv" "lenv_weight ( #[?] )" "lenv_length ( |?| )" * ]
-             [ "term" "term_weight ( #[?] )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
-            [ "item" * ]
-         }
-       ] 
+             [ "lenv" "lenv_weight ( #{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ]
+             [ "term" "term_weight ( #{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
+             [ "item" * ]
+          }
+        ] 
         [ { "external syntax" * } {
              [ "aarity" * ]
-         }
-       ] 
+          }
+        ] 
      }
    ]
 }