<div xmlns:ld="http://lambdadelta.info/" class="head2">Summary of the Specification</div>
<div xmlns:ld="http://lambdadelta.info/" class="text">Here is a numerical acount of the specification's contents
and its timeline.
+ Nodes are counted according to the "intrinsinc complexity measure"
+ [F. Guidi: "Procedural Representation of CIC Proof Terms"
+ Journal of Automated Reasoning 44(1-2), Springer (February 2010),
+ pp. 53-78].
</div>
<div xmlns:ld="http://lambdadelta.info/" class="text">
<table cellpadding="4" cellspacing="0">
<tr>
<td class="snns component cyan">sizes</td>
<td class="snns plane cyan">files</td>
- <td class="snnn number cyan">262 </td>
+ <td class="snnn number cyan">327 </td>
<td class="snns plane cyan">characters</td>
- <td class="snnn number cyan">527314</td>
+ <td class="snnn number cyan">564871</td>
<td class="snns plane cyan">nodes</td>
- <td class="ssnn number cyan">1440935</td>
+ <td class="ssnn number cyan">1606196</td>
</tr>
<tr>
<td class="snns component green">propositions</td>
<td class="snns plane green">theorems</td>
- <td class="snnn number green">95</td>
+ <td class="snnn number green">105</td>
<td class="snns plane green">lemmas</td>
- <td class="snnn number green">1170</td>
+ <td class="snnn number green">1107</td>
<td class="snns plane green">total</td>
- <td class="ssnn number green">1265</td>
+ <td class="ssnn number green">1212</td>
</tr>
<tr>
<td class="snss component yellow">concepts</td>
<td class="snss plane yellow">declared</td>
- <td class="snsn number yellow">49</td>
+ <td class="snsn number yellow">52</td>
<td class="snss plane yellow">defined</td>
- <td class="snsn number yellow">87</td>
+ <td class="snsn number yellow">76</td>
<td class="snss plane yellow">total</td>
- <td class="sssn number yellow">136</td>
+ <td class="sssn number yellow">128</td>
</tr>
</tbody>
</table>
<ul xmlns:ld="http://lambdadelta.info/">
<li>
<span class="date">In progress.</span>
- Closure of extended context-sensitive computation
+ Closure of context-sensitive extended computation
for native validity.
</li>
</ul>
<ul xmlns:ld="http://lambdadelta.info/">
<li>
- <span class="date">In progress.</span>
- Extended context-sensitive strong normalization
+ <span class="date">2014 January 20.</span>
+ Parametrized slicing for local environments
+ comprises both versions of this operation
+ (one from basic_1, the other used in basic_2 till now).
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="date">2013 August 7.</span>
+ Passive support for global environments.
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="date">2013 July 27.</span>
+ Reaxiomatized β-reductum as in extended β-reduction
+ </li>
+ </ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="date">2013 July 20.</span>
+ Context-sensitive extended strong normalization
for simply typed terms.
</li>
</ul>
+ <ul xmlns:ld="http://lambdadelta.info/">
+ <li>
+ <span class="date">2013 April 16.</span>
+ Reaxiomatized substitution and reduction
+ commute with respect to subclosure
+ (anniversary milestone).
+ </li>
+ </ul>
<ul xmlns:ld="http://lambdadelta.info/">
<li>
<span class="date">2013 March 16.</span>
Mutual recursive preservation of stratified native validity
- for hyper computation on closures.
+ for "big tree" computation on closures.
</li>
</ul>
<ul xmlns:ld="http://lambdadelta.info/">
<ul xmlns:ld="http://lambdadelta.info/">
<li>
<span class="date">2012 July 26.</span>
- Term binders polarized to control ζ reduction.
+ Term binders polarized to control ζ-reduction.
</li>
</ul>
<ul xmlns:ld="http://lambdadelta.info/">
<div xmlns:ld="http://lambdadelta.info/" class="head2">Logical Structure of the Specification</div>
<div xmlns:ld="http://lambdadelta.info/" class="text">The source files are grouped in planes and components
according to the following table.
- A notation file covering the whole specification is provided.
+ Notation files covering the whole specification are provided.
The notation for the relations or functions introduced in each file
is shown in parentheses (? are placeholders).
</div>
<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 magenta">dynamic typing</td>
- <td class="snns plane magenta">"big tree" parallel computation</td>
- <td class="snns file magenta">yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )</td>
- <td class="snnn file magenta">yprs_yprs</td>
- <td class="snnn file magenta">ygt ( ? ⊢ ⦃?,?⦄ >[g] ⦃?,?⦄ )</td>
- <td class="snnn file magenta">ygt_ygt</td>
- <td class="ssnn file magenta">
- <br />
- </td>
- </tr>
- <tr>
- <td class="nnns component magenta">
- <br />
- </td>
- <td class="snns plane magenta">"big tree" parallel reduction</td>
- <td class="snns file magenta">ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )</td>
- <td class="snnn file magenta">ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )</td>
- <td class="snnn file magenta">
- <br />
- </td>
- <td class="snnn file magenta">
+ <td class="snns component prune">dynamic typing</td>
+ <td class="snns plane prune">local env. ref. for stratified native validity</td>
+ <td class="snns file prune">lsubsv ( ? ⊢ ? ¡⊑[?,?] ? )</td>
+ <td class="snnn file prune">lsubsv_ldrop lsubsv_lsubd lsubsv_lsuba lsubsv_lsstas lsubsv_cpds lsubsv_cpcs lsubsv_snv</td>
+ <td class="snnn file prune">
<br />
</td>
- <td class="ssnn file magenta">
+ <td class="ssnn file prune">
<br />
</td>
</tr>
<tr>
- <td class="nnns component magenta">
- <br />
- </td>
- <td class="snns plane magenta">local env. ref. for stratified native validity</td>
- <td class="snns file magenta">lsubsv ( ? ⊢ ? ¡⊑[?] ? )</td>
- <td class="snnn file magenta">lsubsv_ldrop lsubsv_lsuba lsubsv_ssta lsubsv_dxprs lsubsv_cpcs lsubsv_snv</td>
- <td class="snnn file magenta">
+ <td class="nnns component prune">
<br />
</td>
- <td class="snnn file magenta">
+ <td class="snns plane prune">stratified native validity</td>
+ <td class="snns file prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )</td>
+ <td class="snnn file prune">snv_lift snv_da_lpr snv_aaa snv_lsstas snv_lsstas_lpr snv_lpr snv_cpcs</td>
+ <td class="snnn file prune">
<br />
</td>
- <td class="ssnn file magenta">
+ <td class="ssnn file prune">
<br />
</td>
</tr>
<tr>
- <td class="nnns component magenta">
- <br />
- </td>
- <td class="snns plane magenta">stratified native validity</td>
- <td class="snns file magenta">snv ( ⦃?,?⦄ ⊢ ? ¡[?] )</td>
- <td class="snnn file magenta">snv_lift snv_ltpss_dx snv_ltpss_sn snv_aaa snv_ssta snv_sstas snv_ssta_ltpr snv_ltpr snv_cpcs</td>
- <td class="snnn file magenta">
- <br />
- </td>
- <td class="snnn file magenta">
+ <td class="snns component blue">equivalence</td>
+ <td class="snns plane blue">decomposed extended equivalence</td>
+ <td class="snns file blue">cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )</td>
+ <td class="snnn file blue">cpes_cpds</td>
+ <td class="snnn file blue">
<br />
</td>
- <td class="ssnn file magenta">
+ <td class="ssnn file blue">
<br />
</td>
</tr>
<tr>
- <td class="snns component prune">equivalence</td>
- <td class="snns plane prune">focalized equivalence</td>
- <td class="snns file prune">lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )</td>
- <td class="snnn file prune">lfpcs_aaa lfpcs_fpcs lfpcs_lfprs lfpcs_lfpcs</td>
- <td class="snnn file prune">
+ <td class="nnns component blue">
<br />
</td>
- <td class="snnn file prune">
+ <td class="snns plane blue">context-sensitive equivalence</td>
+ <td class="snns file blue">cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )</td>
+ <td class="snnn file blue">cpcs_aaa cpcs_cprs cpcs_cpcs</td>
+ <td class="snnn file blue">
<br />
</td>
- <td class="ssnn file prune">
+ <td class="ssnn file blue">
<br />
</td>
</tr>
<tr>
- <td class="nnns component prune">
+ <td class="snns component sky">conversion</td>
+ <td class="snns plane sky">context-sensitive conversion</td>
+ <td class="snns file sky">cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )</td>
+ <td class="snnn file sky">cpc_cpc</td>
+ <td class="snnn file sky">
<br />
</td>
- <td class="nnns plane prune">
+ <td class="ssnn file sky">
<br />
</td>
- <td class="snns file prune">fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )</td>
- <td class="snnn file prune">fpcs_aaa fpcs_cpcs fpcs_fprs fpcs_fpcs</td>
- <td class="snnn file prune">
+ </tr>
+ <tr>
+ <td class="snns component cyan">computation</td>
+ <td class="snns plane cyan">evaluation for context-sensitive extended reduction</td>
+ <td class="snns file cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="snnn file prune">
+ <td class="snnn file cyan">
<br />
</td>
- <td class="ssnn file prune">
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component prune">
- <br />
- </td>
- <td class="snns plane prune">local env. ref. for stratified static type assignment</td>
- <td class="snns file prune">lsubss ( ? •⊑[?] ? )</td>
- <td class="snnn file prune">lsubss_ldrop lsubss_ssta lsubss_cpcs</td>
- <td class="snnn file prune">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snnn file prune">
+ <td class="snns plane cyan">evaluation for context-sensitive reduction</td>
+ <td class="snns file cyan">cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )</td>
+ <td class="snnn file cyan">cpre_cpre</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="ssnn file prune">
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component prune">
- <br />
- </td>
- <td class="snns plane prune">context-sensitive equivalence</td>
- <td class="snns file prune">cpcs ( ? ⊢ ? ⬌* ? )</td>
- <td class="snnn file prune">cpcs_ltpss_dx cpcs_ltpss_sn cpcs_delift cpcs_aaa cpcs_ltpr cpcs_cprs cpcs_cpcs</td>
- <td class="snnn file prune">
- <br />
- </td>
- <td class="snnn file prune">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="ssnn file prune">
+ <td class="snns plane cyan">strongly normalizing "big tree" computation</td>
+ <td class="snns file cyan">fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )</td>
+ <td class="snnn file cyan">fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )</td>
+ <td class="snnn file cyan">fsb_aaa fsb_csx</td>
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="snns component blue">conversion</td>
- <td class="snns plane blue">focalized conversion</td>
- <td class="snns file blue">lfpc ( ⦃?⦄ ⬌ ⦃?⦄ )</td>
- <td class="snnn file blue">lfpc_lfpc</td>
- <td class="snnn file blue">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snnn file blue">
+ <td class="snns plane cyan">strongly normalizing extended computation</td>
+ <td class="snns file cyan">lcosx ( ? ⊢ ⧤⬊*[?,?,?] ? )</td>
+ <td class="snnn file cyan">lcosx_cpxs</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="ssnn file blue">
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component blue">
- <br />
- </td>
- <td class="nnns plane blue">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snns file blue">fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )</td>
- <td class="snnn file blue">fpc_fpc</td>
- <td class="snnn file blue">
+ <td class="nnns plane cyan">
<br />
</td>
- <td class="snnn file blue">
+ <td class="snns file cyan">lsx ( ? ⊢ ⋕⬊*[?,?,?,?] ? )</td>
+ <td class="snnn file cyan">lsx_ldrop lsx_cpxs lsx_csx</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="ssnn file blue">
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component blue">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snns plane blue">context-sensitive conversion</td>
- <td class="snns file blue">cpc ( ? ⊢ ? ⬌ ? )</td>
- <td class="snnn file blue">cpc_cpc</td>
- <td class="snnn file blue">
+ <td class="nnns plane cyan">
<br />
</td>
- <td class="snnn file blue">
+ <td class="snns file cyan">csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
+ <td class="snnn file cyan">csx_tstc_vector csx_aaa</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="ssnn file blue">
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="snns component sky">computation</td>
- <td class="snns plane sky">focalized computation</td>
- <td class="snns file sky">lfprs ( ⦃?⦄ ➡* ⦃?⦄ )</td>
- <td class="snnn file sky">lfprs_aaa lfprs_ltprs lfprs_cprs lfprs_fprs lfprs_lfprs</td>
- <td class="snnn file sky">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snnn file sky">
+ <td class="nnns plane cyan">
<br />
</td>
- <td class="ssnn file sky">
+ <td class="snns file cyan">csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
+ <td class="snnn file cyan">csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )</td>
+ <td class="snnn file cyan">csx_lift csx_lpx csx_fpbs</td>
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component sky">
- <br />
- </td>
- <td class="nnns plane sky">
- <br />
- </td>
- <td class="snns file sky">fprs ( ⦃?,?⦄ ➡* ⦃?,?⦄ )</td>
- <td class="snnn file sky">fprs_aaa fprs_fprs</td>
- <td class="snnn file sky">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snnn file sky">
+ <td class="snns plane cyan">"big tree" parallel computation</td>
+ <td class="snns file cyan">fpbg ( ⦃?,?,?⦄ >⋕[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file cyan">fpbg_lift fpbg_fpns fpbg_fpbg</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="ssnn file sky">
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component sky">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snns plane sky">decomposed extended computation</td>
- <td class="snns file sky">dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )</td>
- <td class="snnn file sky">dxprs_lift dxprs_ltpss_dx dxprs_ltpss_sn dxprs_aaa dxprs_dxprs</td>
- <td class="snnn file sky">
+ <td class="nnns plane cyan">
<br />
</td>
- <td class="snnn file sky">
+ <td class="snns file cyan">fpbc ( ⦃?,?,?⦄ ≻⋕[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file cyan">fpbc_fpns fpbc_fpbs</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="ssnn file sky">
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component sky">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snns plane sky">weakly normalizing computation</td>
- <td class="snns file sky">cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )</td>
- <td class="snnn file sky">cpe_cpe</td>
- <td class="snnn file sky">
+ <td class="nnns plane cyan">
<br />
</td>
- <td class="snnn file sky">
+ <td class="snns file cyan">fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file cyan">fpbu_lift fpbu_fpns</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="ssnn file sky">
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component sky">
- <br />
- </td>
- <td class="snns plane sky">strongly normalizing computation</td>
- <td class="snns file sky">csn_vector ( ? ⊢ ⬊* ? )</td>
- <td class="snnn file sky">csn_cpr_vector csn_tstc_vector csn_aaa</td>
- <td class="snnn file sky">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snnn file sky">
+ <td class="nnns plane cyan">
<br />
</td>
- <td class="ssnn file sky">
+ <td class="snns file cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file cyan">fpbs_lift fpbs_aaa fpbs_fpns fpbs_fpbs</td>
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component sky">
- <br />
- </td>
- <td class="nnns plane sky">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snns file sky">csn ( ? ⊢ ⬊* ? )</td>
- <td class="snnn file sky">csn_alt ( ? ⊢ ⬊⬊* ? )</td>
- <td class="snnn file sky">csn_lift csn_cpr csn_lfpr</td>
- <td class="snnn file sky">
+ <td class="snns plane cyan">parallel computation for "big tree" normal forms</td>
+ <td class="snns file cyan">fpns ( ⦃?,?,?⦄ ⊢ ⋕➡*[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file cyan">fpns_fpns</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="ssnn file sky">
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component sky">
- <br />
- </td>
- <td class="snns plane sky">context-sensitive computation</td>
- <td class="snns file sky">cprs (? ⊢ ? ➡* ?)</td>
- <td class="snnn file sky">cprs_lift cprs_tpss cprs_ltpss_dx cprs_ltpss_sn cprs_delift cprs_aaa cprs_ltpr cprs_lfpr cprs_cprs cprs_lfprs cprs_tstc cprs_tstc_vector</td>
- <td class="snnn file sky">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snnn file sky">
+ <td class="snns plane cyan">decomposed extended computation</td>
+ <td class="snns file cyan">cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )</td>
+ <td class="snnn file cyan">cpds_lift cpds_aaa cpds_cpds</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="ssnn file sky">
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component sky">
- <br />
- </td>
- <td class="snns plane sky">context-free computation</td>
- <td class="snns file sky">ltprs ( ? ➡* ? )</td>
- <td class="snnn file sky">ltprs_alt ( ? ➡➡* ? )</td>
- <td class="snnn file sky">ltprs_ldrop ltprs_ltprs</td>
- <td class="snnn file sky">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="ssnn file sky">
+ <td class="snns plane cyan">context-sensitive extended computation</td>
+ <td class="snns file cyan">lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )</td>
+ <td class="snnn file cyan">lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )</td>
+ <td class="snnn file cyan">lpxs_ldrop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs</td>
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component sky">
- <br />
- </td>
- <td class="nnns plane sky">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snns file sky">tprs ( ? ➡* ?)</td>
- <td class="snnn file sky">tprs_lift tprs_tprs</td>
- <td class="snnn file sky">
+ <td class="nnns plane cyan">
<br />
</td>
- <td class="snnn file sky">
+ <td class="snns file cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )</td>
+ <td class="snnn file cyan">cpxs_tstc cpxs_tstc_vector cpxs_lift cpxs_cpys cpxs_lleq cpxs_aaa cpxs_cpxs</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="ssnn file sky">
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component sky">
- <br />
- </td>
- <td class="snns plane sky">local env. ref. for abstract candidates of reducibility</td>
- <td class="snns file sky">lsubc ( ? ⊑[?] ? )</td>
- <td class="snnn file sky">lsubc_ldrop lsubc_ldrops lsubc_lsuba</td>
- <td class="snnn file sky">
- <br />
- </td>
- <td class="snnn file sky">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="ssnn file sky">
+ <td class="snns plane cyan">context-sensitive computation</td>
+ <td class="snns file cyan">lprs ( ⦃?,?⦄ ⊢ ➡* ? )</td>
+ <td class="snnn file cyan">lprs_alt ( ⦃?,?⦄ ⊢ ➡➡* ? )</td>
+ <td class="snnn file cyan">lprs_ldrop lprs_cprs lprs_lprs</td>
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component sky">
+ <td class="nnns component cyan">
<br />
</td>
- <td class="snns plane sky">support for abstract computation properties</td>
- <td class="snns file sky">acp</td>
- <td class="snnn file sky">acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )</td>
- <td class="snnn file sky">acp_aaa</td>
- <td class="snnn file sky">
+ <td class="nnns plane cyan">
<br />
</td>
- <td class="ssnn file sky">
+ <td class="snns file cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
+ <td class="snnn file cyan">cprs_lift cprs_cprs</td>
+ <td class="snnn file cyan">
+ <br />
+ </td>
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="snns component cyan">reducibility</td>
- <td class="snns plane cyan">context-sensitive focalized reduction</td>
- <td class="snns file cyan">cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
- <td class="snnn file cyan">cnfpr_ltpss cfpr_aaa cfpr_cpr cfpr_cfpr</td>
- <td class="snnn file cyan">
+ <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 lsubc_ldrops lsubc_lsuba</td>
<td class="snnn file cyan">
<br />
</td>
<td class="nnns component cyan">
<br />
</td>
- <td class="snns plane cyan">context-free focalized reduction</td>
- <td class="snns file cyan">lfpr ( ⦃?⦄ ➡ ⦃?⦄ )</td>
- <td class="snnn file cyan">lfpr_alt ( ⦃?⦄ ➡➡ ⦃?⦄ )</td>
- <td class="snnn file cyan">lfpr_aaa lfpr_cpr lfpr_fpr lfpr_lfpr</td>
- <td class="snnn file cyan">
- <br />
- </td>
+ <td class="snns plane cyan">support for abstract computation properties</td>
+ <td class="snns file cyan">acp</td>
+ <td class="snnn file cyan">acp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
+ <td class="snnn file cyan">acp_aaa</td>
<td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="nnns component cyan">
+ <td class="snns component water">reduction</td>
+ <td class="snns plane water">"big tree" parallel reduction</td>
+ <td class="snns file water">fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file water">fpb_lift fpb_aaa</td>
+ <td class="snnn file water">
<br />
</td>
- <td class="nnns plane cyan">
+ <td class="ssnn file water">
<br />
</td>
- <td class="snns file cyan">fpr ( ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
- <td class="snnn file cyan">fpr_cpr fpr_fpr</td>
- <td class="snnn file cyan">
+ </tr>
+ <tr>
+ <td class="nnns component water">
<br />
</td>
- <td class="snnn file cyan">
+ <td class="snns plane water">normal forms for context-sensitive extended reduction</td>
+ <td class="snns file water">cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )</td>
+ <td class="snnn file water">cnx_lift cnx_crx cnx_cix</td>
+ <td class="snnn file water">
<br />
</td>
- <td class="ssnn file cyan">
+ <td class="ssnn file water">
<br />
</td>
</tr>
<tr>
- <td class="nnns component cyan">
- <br />
- </td>
- <td class="snns plane cyan">context-sensitive normal forms</td>
- <td class="snns file cyan">cnf ( ? ⊢ 𝐍⦃?⦄ )</td>
- <td class="snnn file cyan">cnf_lift cnf_cif</td>
- <td class="snnn file cyan">
+ <td class="nnns component water">
<br />
</td>
- <td class="snnn file cyan">
+ <td class="snns plane water">context-sensitive extended reduction</td>
+ <td class="snns file water">lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )</td>
+ <td class="snnn file water">lpx_ldrop lpx_cpys lpx_lleq lpx_aaa</td>
+ <td class="snnn file water">
<br />
</td>
- <td class="ssnn file cyan">
+ <td class="ssnn file water">
<br />
</td>
</tr>
<tr>
- <td class="nnns component cyan">
+ <td class="nnns component water">
<br />
</td>
- <td class="snns plane cyan">context-sensitive reduction</td>
- <td class="snns file cyan">cpr ( ? ⊢ ? ➡ ? )</td>
- <td class="snnn file cyan">cpr_lift cpr_tpss cpr_ltpss_dx cpr_ltpss_sn cpr_delift cpr_aaa cpr_ltpr cpr_cpr</td>
- <td class="snnn file cyan">
+ <td class="nnns plane water">
<br />
</td>
- <td class="snnn file cyan">
+ <td class="snns file water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
+ <td class="snnn file water">cpx_lift cpx_cpys cpx_lleq cpx_cix</td>
+ <td class="snnn file water">
<br />
</td>
- <td class="ssnn file cyan">
+ <td class="ssnn file water">
<br />
</td>
</tr>
<tr>
- <td class="nnns component cyan">
+ <td class="nnns component water">
<br />
</td>
- <td class="snns plane cyan">context-sensitive reducible forms</td>
- <td class="snns file cyan">crf ( ? ⊢ 𝐑⦃?⦄ )</td>
- <td class="snnn file cyan">crf_append</td>
- <td class="snnn file cyan">cif ( ? ⊢ 𝐈⦃?⦄ )</td>
- <td class="snnn file cyan">cif_append</td>
- <td class="ssnn file cyan">
+ <td class="snns plane water">irreducible forms for context-sensitive extended reduction</td>
+ <td class="snns file water">cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )</td>
+ <td class="snnn file water">cix_lift</td>
+ <td class="snnn file water">
+ <br />
+ </td>
+ <td class="ssnn file water">
<br />
</td>
</tr>
<tr>
- <td class="nnns component cyan">
+ <td class="nnns component water">
<br />
</td>
- <td class="snns plane cyan">context-free normal forms</td>
- <td class="snns file cyan">thnf ( 𝐇𝐍⦃?⦄ )</td>
- <td class="snnn file cyan">
+ <td class="snns plane water">reducible forms for context-sensitive extended reduction</td>
+ <td class="snns file water">crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )</td>
+ <td class="snnn file water">crx_lift</td>
+ <td class="snnn file water">
<br />
</td>
- <td class="snnn file cyan">
+ <td class="ssnn file water">
<br />
</td>
- <td class="snnn file cyan">
+ </tr>
+ <tr>
+ <td class="nnns component water">
<br />
</td>
- <td class="ssnn file cyan">
+ <td class="snns plane water">normal forms for context-sensitive reduction</td>
+ <td class="snns file water">cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )</td>
+ <td class="snnn file water">cnr_lift cnr_crr cnr_cir</td>
+ <td class="snnn file water">
<br />
</td>
- </tr>
- <tr>
- <td class="nnns component cyan">
+ <td class="ssnn file water">
<br />
</td>
- <td class="snns plane cyan">context-free reduction</td>
- <td class="snns file cyan">ltpr ( ? ➡ ? )</td>
- <td class="snnn file cyan">ltpr_ldrop ltpr_tps ltpr_tpss ltpr_ltpss_dx ltpr_ltpss_sn ltpr_aaa ltpr_ltpr</td>
- <td class="snnn file cyan">
+ </tr>
+ <tr>
+ <td class="nnns component water">
<br />
</td>
- <td class="snnn file cyan">
+ <td class="snns plane water">context-sensitive reduction</td>
+ <td class="snns file water">lpr ( ⦃?,?⦄ ⊢ ➡ ? )</td>
+ <td class="snnn file water">lpr_ldrop lpr_lpr</td>
+ <td class="snnn file water">
<br />
</td>
- <td class="ssnn file cyan">
+ <td class="ssnn file water">
<br />
</td>
</tr>
<tr>
- <td class="nnns component cyan">
- <br />
- </td>
- <td class="nnns plane cyan">
+ <td class="nnns component water">
<br />
</td>
- <td class="snns file cyan">tpr ( ? ➡ ? )</td>
- <td class="snnn file cyan">tpr_lift tpr_delift tpr_tpr</td>
- <td class="snnn file cyan">
+ <td class="nnns plane water">
<br />
</td>
- <td class="snnn file cyan">
+ <td class="snns file water">cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )</td>
+ <td class="snnn file water">cpr_lift cpr_cir</td>
+ <td class="snnn file water">
<br />
</td>
- <td class="ssnn file cyan">
+ <td class="ssnn file water">
<br />
</td>
</tr>
<tr>
- <td class="snns component water">restricted computation</td>
- <td class="snns plane water">restricted parallel computation</td>
- <td class="snns file water">lpqs ( ? ⊢ ➤* ? )</td>
- <td class="snnn file water">lpqs_ldrop lpqs_cpqs lpqs_lpqs</td>
- <td class="snnn file water">
+ <td class="nnns component water">
<br />
</td>
+ <td class="snns plane water">irreducible forms for context-sensitive reduction</td>
+ <td class="snns file water">cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )</td>
+ <td class="snnn file water">cir_lift</td>
<td class="snnn file water">
<br />
</td>
<td class="nnns component water">
<br />
</td>
- <td class="nnns plane water">
- <br />
- </td>
- <td class="snns file water">cpqs ( ? ⊢ ? ➤* ? )</td>
- <td class="snnn file water">cpqs_lift</td>
- <td class="snnn file water">
- <br />
- </td>
+ <td class="snns plane water">reducible forms for context-sensitive reduction</td>
+ <td class="snns file water">crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )</td>
+ <td class="snnn file water">crr_lift</td>
<td class="snnn file water">
<br />
</td>
</td>
</tr>
<tr>
- <td class="snns component green">unwind</td>
- <td class="snns plane green">iterated stratified static type assignment</td>
- <td class="snns file green">sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )</td>
- <td class="snnn file green">sstas_lift sstas_ltpss_dx sstas_ltpss_sn sstas_aaa sstas_sstas</td>
+ <td class="snns component green">unfold</td>
+ <td class="snns plane green">unfold</td>
+ <td class="snns file green">unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )</td>
<td class="snnn file green">
<br />
</td>
</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 ssta_ltpss_dx ssta_ltpss_sn ssta_aaa ssta_ssta</td>
- <td class="snnn file grass">
- <br />
- </td>
- <td class="snnn file grass">
+ <td class="nnns component green">
<br />
</td>
- <td class="ssnn file grass">
+ <td class="snns plane green">iterated static type assignment</td>
+ <td class="snns file green">lsstas ( ⦃?,?⦄ ⊢ ? •*[?,?,?] ? )</td>
+ <td class="snnn file green">lsstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?,?] ? )</td>
+ <td class="snnn file green">lsstas_lift lsstas_aaa lsstas_lsstas</td>
+ <td class="ssnn file green">
<br />
</td>
</tr>
<tr>
- <td class="nnns component grass">
- <br />
- </td>
+ <td class="snns component grass">static typing</td>
<td class="snns plane grass">local env. ref. for atomic arity assignment</td>
- <td class="snns file grass">lsuba ( ? ⁝⊑ ? )</td>
+ <td class="snns file grass">lsuba ( ? â\8a¢ ? â\81\9dâ\8a\91 ? )</td>
<td class="snnn file grass">lsuba_ldrop lsuba_aaa lsuba_lsuba</td>
<td class="snnn file grass">
<br />
</td>
- <td class="snnn file grass">
- <br />
- </td>
<td class="ssnn file grass">
<br />
</td>
<br />
</td>
<td class="snns plane grass">atomic arity assignment</td>
- <td class="snns file grass">aaa ( ? ⊢ ? ⁝ ? )</td>
- <td class="snnn file grass">aaa_lift aaa_lifts aaa_ltpss_dx aaa_ltpss_sn aaa_aaa</td>
- <td class="snnn file grass">
- <br />
- </td>
+ <td class="snns file grass">aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )</td>
+ <td class="snnn file grass">aaa_lift aaa_lifts aaa_fqus aaa_da aaa_ssta aaa_aaa</td>
<td class="snnn file grass">
<br />
</td>
<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="snns plane grass">stratified static type assignment</td>
+ <td class="snns file grass">ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )</td>
+ <td class="snnn file grass">ssta_lift ssta_ssta</td>
<td class="snnn file grass">
<br />
</td>
</td>
</tr>
<tr>
- <td class="snns component yellow">unfold</td>
- <td class="snns plane yellow">basic local env. thinning</td>
- <td class="snns file yellow">thin ( ? ▼*[?,?] ≡ ? )</td>
- <td class="snnn file yellow">thin_ldrop thin_delift</td>
- <td class="snnn file yellow">
+ <td class="nnns component grass">
<br />
</td>
- <td class="snnn file yellow">
+ <td class="snns plane grass">local env. ref. for degree assignment</td>
+ <td class="snns file grass">lsubd ( ? ⊢ ? ▪⊑ ? )</td>
+ <td class="snnn file grass">lsubd_da lsubd_lsubd</td>
+ <td class="snnn file grass">
<br />
</td>
- <td class="ssnn file yellow">
+ <td class="ssnn file grass">
<br />
</td>
</tr>
<tr>
- <td class="nnns component yellow">
+ <td class="nnns component grass">
<br />
</td>
- <td class="snns plane yellow">inverse basic term relocation</td>
- <td class="snns file yellow">delift ( ? ⊢ ? ▼*[?,?] ≡ ? )</td>
- <td class="snnn file yellow">delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )</td>
- <td class="snnn file yellow">delift_lift delift_tpss delift_ltpss delift_delift</td>
- <td class="snnn file yellow">
+ <td class="snns plane grass">degree assignment</td>
+ <td class="snns file grass">da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )</td>
+ <td class="snnn file grass">da_lift da_da</td>
+ <td class="snnn file grass">
<br />
</td>
- <td class="ssnn file yellow">
+ <td class="ssnn file grass">
<br />
</td>
</tr>
<tr>
- <td class="nnns component yellow">
- <br />
- </td>
- <td class="snns plane yellow">revised parallel substitution</td>
- <td class="snns file yellow">lpss ( ? ⊢ ▶* ? )</td>
- <td class="snnn file yellow">lpss_ldrop lpss_cpss lpss_lpss</td>
- <td class="snnn file yellow">
+ <td class="nnns component grass">
<br />
</td>
- <td class="snnn file yellow">
+ <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="ssnn file yellow">
+ <td class="ssnn file grass">
<br />
</td>
</tr>
<tr>
- <td class="nnns component yellow">
- <br />
- </td>
- <td class="nnns plane yellow">
- <br />
- </td>
- <td class="snns file yellow">cpss ( ? ⊢ ? ▶* ? )</td>
- <td class="snnn file yellow">cpss_lift</td>
- <td class="snnn file yellow">
- <br />
- </td>
- <td class="snnn file yellow">
- <br />
- </td>
+ <td class="snns component yellow">substitution</td>
+ <td class="snns plane yellow">lazy equivalence for local environments</td>
+ <td class="snns file yellow">lleq ( ? ⋕[?,?] ? )</td>
+ <td class="snnn file yellow">lleq_alt ( ? ⋕⋕[?,?] ? )</td>
+ <td class="snnn file yellow">lleq_ldrop lleq_fqus lleq_lleq lleq_ext</td>
<td class="ssnn file yellow">
<br />
</td>
<td class="nnns component yellow">
<br />
</td>
- <td class="snns plane yellow">partial unfold</td>
- <td class="snns file yellow">ltpss_sn ( ? ⊢ ▶*[?,?] ? )</td>
- <td class="snnn file yellow">ltpss_sn_alt ( ? ⊢ ▶▶*[?,?] ? )</td>
- <td class="snnn file yellow">ltpss_sn_ldrop ltpss_sn_tps ltpss_sn_tpss ltpss_sn_ltpss_sn</td>
- <td class="snnn file yellow">
- <br />
- </td>
+ <td class="snns plane yellow">contxt-sensitive extended multiple substitution</td>
+ <td class="snns file yellow">cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )</td>
+ <td class="snnn file yellow">cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )</td>
+ <td class="snnn file yellow">cpys_lift cpys_cpys</td>
<td class="ssnn file yellow">
<br />
</td>
<td class="nnns component yellow">
<br />
</td>
- <td class="nnns plane yellow">
- <br />
- </td>
- <td class="snns file yellow">ltpss_dx ( ? ▶*[?,?] ? )</td>
- <td class="snnn file yellow">ltpss_dx_ldrop ltpss_dx_tps ltpss_dx_tpss ltpss_dx_ltpss_dx</td>
- <td class="snnn file yellow">
- <br />
- </td>
+ <td class="snns plane yellow">iterated structural successor for closures</td>
+ <td class="snns file yellow">fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )</td>
+ <td class="snnn file yellow">fqus_alt fqus_fqus</td>
<td class="snnn file yellow">
<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="ssnn file yellow">
- <br />
- </td>
- </tr>
- <tr>
- <td class="nnns component yellow">
- <br />
- </td>
- <td class="snns plane yellow">iterated structural successor for closures</td>
- <td class="snns file yellow">fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )</td>
- <td class="snnn file yellow">fsupp_fsupp</td>
- <td class="snnn file yellow">
- <br />
- </td>
+ <td class="snns file yellow">fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )</td>
+ <td class="snnn file yellow">fqup_fqup</td>
<td class="snnn file yellow">
<br />
</td>
<td class="nnns component yellow">
<br />
</td>
- <td class="snns plane yellow">generic local env. slicing</td>
- <td class="snns file yellow">ldrops ( ⇩*[?] ? ≡ ? )</td>
+ <td class="snns plane yellow">iterated local env. slicing</td>
+ <td class="snns file yellow">ldrops ( ⇩*[?,?] ? ≡ ? )</td>
<td class="snnn file yellow">ldrops_ldrop ldrops_ldrops</td>
<td class="snnn file yellow">
<br />
</td>
- <td class="snnn file yellow">
- <br />
- </td>
<td class="ssnn file yellow">
<br />
</td>
<td class="snnn file yellow">
<br />
</td>
- <td class="snnn file yellow">
- <br />
- </td>
<td class="ssnn file yellow">
<br />
</td>
<td class="snnn file yellow">
<br />
</td>
- <td class="snnn file yellow">
- <br />
- </td>
<td class="ssnn file yellow">
<br />
</td>
<td class="snns file yellow">gr2 ( @⦃?,?⦄ ≡ ? )</td>
<td class="snnn file yellow">gr2_plus ( ? + ? )</td>
<td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td>
- <td class="snnn file yellow">gr2_gr2</td>
- <td class="ssnn file yellow">
+ <td class="ssnn file yellow">gr2_gr2</td>
+ </tr>
+ <tr>
+ <td class="snns component orange">relocation</td>
+ <td class="snns plane orange">contxt-sensitive extended ordinary substitution</td>
+ <td class="snns file orange">cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )</td>
+ <td class="snnn file orange">cpy_lift cpy_cpy</td>
+ <td class="snnn file orange">
+ <br />
+ </td>
+ <td class="ssnn file orange">
<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 tps_tps</td>
- <td class="snnn file orange">
+ <td class="nnns component orange">
<br />
</td>
+ <td class="snns plane orange">restricted local env. ref.</td>
+ <td class="snns file orange">lsubr ( ? ⊑ ? )</td>
+ <td class="snnn file orange">lsubr_lsubr</td>
<td class="snnn file orange">
<br />
</td>
<td class="nnns component orange">
<br />
</td>
- <td class="snns plane orange">structural successor for closures</td>
- <td class="snns file orange">fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )</td>
+ <td class="snns plane orange">local env. ref. for extended substitution</td>
+ <td class="snns file orange">lsuby ( ? ⊑×[?,?] ? )</td>
+ <td class="snnn file orange">lsuby_lsuby</td>
<td class="snnn file orange">
<br />
</td>
- <td class="snnn file orange">
+ <td class="ssnn file orange">
<br />
</td>
+ </tr>
+ <tr>
+ <td class="nnns component orange">
+ <br />
+ </td>
+ <td class="snns plane orange">structural successor for closures</td>
+ <td class="snns file orange">fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )</td>
+ <td class="snnn file orange">fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )</td>
<td class="snnn file orange">
<br />
</td>
<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="nnns plane orange">
+ <br />
+ </td>
+ <td class="snns file orange">fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )</td>
<td class="snnn file orange">
<br />
</td>
<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 ldrop_lpx ldrop_lpx_sn ldrop_lbotr ldrop_ldrop</td>
- <td class="snnn file 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="nnns component orange">
<br />
</td>
- <td class="snns plane orange">local env. ref. for substitution</td>
- <td class="snns file orange">lsubr ( ? ⊑[?,?] ? )</td>
- <td class="snnn file orange">(lsubr_lsubr)</td>
- <td class="snnn file orange">lsubr_lbotr ( ⊒[?,?] ? )</td>
+ <td class="snns plane orange">basic local env. slicing</td>
+ <td class="snns file orange">ldrop ( ⇩[?,?,?] ? ≡ ? )</td>
+ <td class="snnn file orange">ldrop_lpx_sn ldrop_leq ldrop_ldrop</td>
<td class="snnn file orange">
<br />
</td>
<td class="snnn file orange">
<br />
</td>
- <td class="snnn file orange">
- <br />
- </td>
<td class="ssnn file orange">
<br />
</td>
<td class="snnn file orange">
<br />
</td>
- <td class="snnn file orange">
- <br />
- </td>
<td class="ssnn file orange">
<br />
</td>
</tr>
<tr>
<td class="snns component red">grammar</td>
- <td class="snns plane red">same head term form</td>
- <td class="snns file red">tshf ( ? ≈ ? )</td>
- <td class="snnn file red">(tshf_tshf)</td>
+ <td class="snns plane red">equivalence for local environments</td>
+ <td class="snns file red">leq ( ? ≃[?,?] ? )</td>
+ <td class="snnn file red">leq_leq</td>
<td class="snnn file red">
<br />
</td>
+ <td class="ssnn file red">
+ <br />
+ </td>
+ </tr>
+ <tr>
+ <td class="nnns component red">
+ <br />
+ </td>
+ <td class="snns plane red">pointwise extension of a relation</td>
+ <td class="snns file red">lpx_sn</td>
+ <td class="snnn file red">lpx_sn_tc lpx_sn_lpx_sn</td>
<td class="snnn file red">
<br />
</td>
<td class="snnn file red">
<br />
</td>
- <td class="snnn file red">
- <br />
- </td>
<td class="ssnn file red">
<br />
</td>
<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="snns file red">cl_weight ( ♯{?,?,?} )</td>
+ <td class="snnn file red">cl_restricted_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="ssnn file red">
<br />
</td>
<td class="snns file red">lenv</td>
<td class="snnn file red">lenv_weight ( ♯{?} )</td>
<td class="snnn file red">lenv_length ( |?| )</td>
- <td class="snnn file red">lenv_append ( ? @@ ? )</td>
- <td class="ssnn file red">lenv_px lenv_px_sn lenv_px_bi</td>
+ <td class="ssnn file red">lenv_append ( ? @@ ? )</td>
</tr>
<tr>
<td class="nnns component red">
<td class="snns file red">term</td>
<td class="snnn file red">term_weight ( ♯{?} )</td>
<td class="snnn file red">term_simple ( 𝐒⦃?⦄ )</td>
- <td class="snnn file red">term_vector</td>
- <td class="ssnn file red">
- <br />
- </td>
+ <td class="ssnn file red">term_vector</td>
</tr>
<tr>
<td class="nnns component red">
<td class="snnn file red">
<br />
</td>
- <td class="snnn file red">
- <br />
- </td>
<td class="ssnn file red">
<br />
</td>
<td class="snsn file red">
<br />
</td>
- <td class="snsn file red">
- <br />
- </td>
<td class="sssn file red">
<br />
</td>
<div xmlns:ld="http://lambdadelta.info/" class="spacer">
<br />
</div>
- <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Sun, 07 Apr 2013 23:37:37 +0200</div>
+ <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Fri, 21 Feb 2014 17:37:37 +0100</div>
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</html>
projects / helm.git / blobdiff