<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">237 </td>
+ <td class="snnn number cyan">282 </td>
<td class="snns plane cyan">characters</td>
- <td class="snnn number cyan">420425</td>
+ <td class="snnn number cyan">424295</td>
<td class="snns plane cyan">nodes</td>
- <td class="ssnn number cyan">1063117</td>
+ <td class="ssnn number cyan">1238363</td>
</tr>
<tr>
<td class="snns component green">propositions</td>
<td class="snns plane green">theorems</td>
- <td class="snnn number green">85</td>
+ <td class="snnn number green">91</td>
<td class="snns plane green">lemmas</td>
- <td class="snnn number green">946</td>
+ <td class="snnn number green">863</td>
<td class="snns plane green">total</td>
- <td class="ssnn number green">1031</td>
+ <td class="ssnn number green">954</td>
</tr>
<tr>
<td class="snss component yellow">concepts</td>
<td class="snss plane yellow">declared</td>
- <td class="snsn number yellow">45</td>
+ <td class="snsn number yellow">47</td>
<td class="snss plane yellow">defined</td>
- <td class="snsn number yellow">80</td>
+ <td class="snsn number yellow">85</td>
<td class="snss plane yellow">total</td>
- <td class="sssn number yellow">125</td>
+ <td class="sssn number yellow">132</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">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
+ Reaxiomatized substitution and reduction
commute with respect to subclosure
(anniversary milestone).
</li>
<li>
<span class="date">2013 March 16.</span>
Mutual recursive preservation of stratified native validity
- for hyper computation on closures.
+ for hyper 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/">
<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">"big tree" parallel computation</td>
- <td class="snns file prune">yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )</td>
- <td class="snnn file prune">yprs_yprs</td>
- <td class="snnn file prune">ygt ( ? ⊢ ⦃?,?⦄ >[g] ⦃?,?⦄ )</td>
- <td class="snnn file prune">ygt_ygt</td>
- <td class="ssnn file prune">
- <br />
- </td>
- </tr>
- <tr>
- <td class="nnns component prune">
- <br />
- </td>
- <td class="snns plane prune">"big tree" parallel reduction</td>
- <td class="snns file prune">ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )</td>
- <td class="snnn file prune">ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )</td>
- <td class="snnn file prune">
- <br />
- </td>
- <td class="snnn file prune">
- <br />
- </td>
- <td class="ssnn file prune">
- <br />
- </td>
- </tr>
- <tr>
- <td class="nnns component prune">
- <br />
- </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_lsuba lsubsv_ssta lsubsv_dxprs lsubsv_cpcs lsubsv_snv</td>
- <td class="snnn file prune">
- <br />
- </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>
<br />
</td>
<td class="snns plane prune">stratified native validity</td>
- <td class="snns file prune">snv ( ⦃?,?⦄ ⊢ ? ¡[?] )</td>
- <td class="snnn file prune">snv_lift snv_ltpss_dx snv_ltpss_sn snv_aaa snv_ssta snv_sstas snv_ssta_ltpr snv_ltpr snv_cpcs</td>
- <td class="snnn file prune">
- <br />
- </td>
+ <td class="snns 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>
</tr>
<tr>
<td class="snns component blue">equivalence</td>
- <td class="snns plane blue">focalized equivalence</td>
- <td class="snns file blue">lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )</td>
- <td class="snnn file blue">lfpcs_aaa lfpcs_fpcs lfpcs_lfprs lfpcs_lfpcs</td>
- <td class="snnn file blue">
- <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">fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )</td>
- <td class="snnn file blue">fpcs_aaa fpcs_cpcs fpcs_fprs fpcs_fpcs</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="snns plane blue">local env. ref. for stratified static type assignment</td>
- <td class="snns file blue">lsubss ( ? •⊑[?] ? )</td>
- <td class="snnn file blue">lsubss_ldrop lsubss_ssta lsubss_cpcs</td>
- <td class="snnn file blue">
- <br />
- </td>
+ <td 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>
<br />
</td>
<td class="snns plane blue">context-sensitive equivalence</td>
- <td class="snns file blue">cpcs ( ? ⊢ ? ⬌* ? )</td>
- <td class="snnn file blue">cpcs_ltpss_dx cpcs_ltpss_sn cpcs_delift cpcs_aaa cpcs_ltpr cpcs_cprs cpcs_cpcs</td>
- <td class="snnn file blue">
- <br />
- </td>
+ <td class="snns file blue">cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )</td>
+ <td class="snnn file blue">cpcs_aaa cpcs_cprs cpcs_cpcs</td>
<td class="snnn file blue">
<br />
</td>
</tr>
<tr>
<td class="snns component sky">conversion</td>
- <td class="snns plane sky">focalized conversion</td>
- <td class="snns file sky">lfpc ( ⦃?⦄ ⬌ ⦃?⦄ )</td>
- <td class="snnn file sky">lfpc_lfpc</td>
- <td class="snnn file sky">
- <br />
- </td>
+ <td class="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>
</tr>
<tr>
- <td class="nnns component sky">
- <br />
- </td>
- <td class="nnns plane sky">
- <br />
- </td>
- <td class="snns file sky">fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )</td>
- <td class="snnn file sky">fpc_fpc</td>
- <td class="snnn file sky">
+ <td class="snns component cyan">computation</td>
+ <td class="snns plane cyan">context-sensitive extended evaluation</td>
+ <td class="snns file cyan">cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )</td>
+ <td class="snnn file cyan">
<br />
</td>
- <td class="snnn file sky">
+ <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">context-sensitive conversion</td>
- <td class="snns file sky">cpc ( ? ⊢ ? ⬌ ? )</td>
- <td class="snnn file sky">cpc_cpc</td>
- <td class="snnn file sky">
+ <td class="snns plane cyan">context-sensitive evaluation</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="snnn file sky">
+ <td class="ssnn file cyan">
<br />
</td>
- <td class="ssnn file sky">
+ </tr>
+ <tr>
+ <td class="nnns component cyan">
+ <br />
+ </td>
+ <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_csx</td>
+ <td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="snns component cyan">computation</td>
- <td class="snns plane cyan">focalized computation</td>
- <td class="snns file cyan">lfprs ( ⦃?⦄ ➡* ⦃?⦄ )</td>
- <td class="snnn file cyan">lfprs_aaa lfprs_ltprs lfprs_cprs lfprs_fprs lfprs_lfprs</td>
- <td class="snnn file cyan">
+ <td class="nnns component cyan">
<br />
</td>
+ <td class="snns plane cyan">strongly normalizing extended computation</td>
+ <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="nnns plane cyan">
<br />
</td>
- <td class="snns file cyan">fprs ( ⦃?,?⦄ ➡* ⦃?,?⦄ )</td>
- <td class="snnn file cyan">fprs_aaa fprs_fprs</td>
- <td class="snnn file cyan">
- <br />
- </td>
- <td class="snnn file cyan">
- <br />
- </td>
+ <td class="snns file cyan">csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )</td>
+ <td class="snnn file cyan">csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )</td>
+ <td class="snnn file cyan">csx_lift csx_lpx</td>
<td class="ssnn file cyan">
<br />
</td>
<td class="nnns component cyan">
<br />
</td>
- <td class="snns plane cyan">decomposed extended computation</td>
- <td class="snns file cyan">dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )</td>
- <td class="snnn file cyan">dxprs_lift dxprs_ltpss_dx dxprs_ltpss_sn dxprs_aaa dxprs_dxprs</td>
- <td class="snnn file cyan">
- <br />
- </td>
- <td class="snnn file cyan">
- <br />
- </td>
+ <td class="snns plane cyan">"big tree" parallel computation</td>
+ <td class="snns file cyan">fpbg ( ⦃?,?,?⦄ >[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file cyan">fpbg_alt</td>
+ <td class="snnn file cyan">fpbg_lift fpbg_fpbg</td>
<td class="ssnn file cyan">
<br />
</td>
<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">
+ <td class="nnns plane cyan">
<br />
</td>
+ <td class="snns file cyan">fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file cyan">fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file cyan">fpbs_lift fpbs_fpbs</td>
<td class="ssnn file cyan">
<br />
</td>
<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 csn_tstc_vector csn_aaa</td>
- <td class="snnn file cyan">
- <br />
- </td>
+ <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="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 csn_cpr csn_lfpr</td>
- <td class="snnn file cyan">
- <br />
- </td>
+ <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_aaa lpxs_cpxs lpxs_lpxs</td>
<td class="ssnn file cyan">
<br />
</td>
<td class="nnns component cyan">
<br />
</td>
- <td class="snns plane cyan">context-sensitive computation</td>
- <td class="snns file cyan">cprs (? ⊢ ? ➡* ?)</td>
- <td class="snnn file cyan">cprs_lift cprs_tpss cprs_ltpss_dx cprs_ltpss_sn cprs_delift cprs_aaa cprs_ltpr cprs_lfpr cprs_cprs cprs_lfprs cprs_tstc cprs_tstc_vector</td>
- <td class="snnn file cyan">
+ <td class="nnns plane cyan">
<br />
</td>
+ <td class="snns file cyan">cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )</td>
+ <td class="snnn file cyan">cpxs_tstc cpxs_tstc_vector cpxs_lift cpxs_aaa cpxs_cpxs</td>
<td class="snnn file cyan">
<br />
</td>
<td class="nnns component cyan">
<br />
</td>
- <td class="snns plane cyan">context-free computation</td>
- <td class="snns file cyan">ltprs ( ? ➡* ? )</td>
- <td class="snnn file cyan">ltprs_alt ( ? ➡➡* ? )</td>
- <td class="snnn file cyan">ltprs_ldrop ltprs_ltprs</td>
- <td class="snnn file cyan">
- <br />
- </td>
+ <td class="snns 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>
<td class="nnns plane cyan">
<br />
</td>
- <td class="snns file cyan">tprs ( ? ➡* ?)</td>
- <td class="snnn file cyan">tprs_lift tprs_tprs</td>
- <td class="snnn file cyan">
- <br />
- </td>
+ <td class="snns file cyan">cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)</td>
+ <td class="snnn file cyan">cprs_lift cprs_cprs</td>
<td class="snnn file cyan">
<br />
</td>
<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="snns file cyan">lsubc ( ? â\8a¢ ? â\8a\91[?] ? )</td>
<td class="snnn file cyan">lsubc_ldrop lsubc_ldrops lsubc_lsuba</td>
<td class="snnn file cyan">
<br />
</td>
- <td class="snnn file cyan">
- <br />
- </td>
<td class="ssnn file cyan">
<br />
</td>
</td>
<td class="snns plane cyan">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_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )</td>
<td class="snnn file cyan">acp_aaa</td>
- <td class="snnn file cyan">
- <br />
- </td>
<td class="ssnn file cyan">
<br />
</td>
</tr>
<tr>
- <td class="snns component water">reducibility</td>
- <td class="snns plane water">context-sensitive focalized reduction</td>
- <td class="snns file water">cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
- <td class="snnn file water">cnfpr_ltpss cfpr_aaa cfpr_cpr cfpr_cfpr</td>
- <td class="snnn file water">
- <br />
- </td>
- <td class="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 focalized reduction</td>
- <td class="snns file water">lfpr ( ⦃?⦄ ➡ ⦃?⦄ )</td>
- <td class="snnn file water">lfpr_alt ( ⦃?⦄ ➡➡ ⦃?⦄ )</td>
- <td class="snnn file water">lfpr_aaa lfpr_cpr lfpr_fpr lfpr_lfpr</td>
+ <td class="snns component water">reduction</td>
+ <td class="snns plane water">"big tree" parallel reduction</td>
+ <td class="snns file water">fpbc ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file water">fpbc_lift</td>
<td class="snnn file water">
<br />
</td>
<td class="nnns plane water">
<br />
</td>
- <td class="snns file water">fpr ( ⦃?,?⦄ ➡ ⦃?,?⦄ )</td>
- <td class="snnn file water">fpr_cpr fpr_fpr</td>
- <td class="snnn file water">
- <br />
- </td>
+ <td class="snns file water">fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )</td>
+ <td class="snnn file water">fpb_lift</td>
<td class="snnn file water">
<br />
</td>
<td class="nnns component water">
<br />
</td>
- <td class="snns plane water">context-sensitive normal forms</td>
- <td class="snns file water">cnf ( ? ⊢ 𝐍⦃?⦄ )</td>
- <td class="snnn file water">cnf_lift cnf_cif</td>
- <td class="snnn file water">
- <br />
- </td>
+ <td class="snns plane water">context-sensitive extended normal forms</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="nnns component water">
<br />
</td>
- <td class="snns plane water">revised context-sensitive reduction</td>
- <td class="snns file water">lpr ( ? ⊢ ➡ ? )</td>
- <td class="snnn file water">lpr_ldrop lpr_cpr lpr_lpr</td>
- <td class="snnn file water">
- <br />
- </td>
+ <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_aaa</td>
<td class="snnn file 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">
- <br />
- </td>
+ <td class="snns file water">cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )</td>
+ <td class="snnn file water">cpx_lift cpx_cix</td>
<td class="snnn file water">
<br />
</td>
<td class="nnns component water">
<br />
</td>
- <td class="snns plane water">context-sensitive reduction</td>
- <td class="snns file water">cpr ( ? ⊢ ? ➡ ? )</td>
- <td class="snnn file water">cpr_lift cpr_tpss cpr_ltpss_dx cpr_ltpss_sn cpr_delift cpr_aaa cpr_ltpr cpr_cpr</td>
- <td class="snnn file water">
- <br />
- </td>
+ <td class="snns plane water">context-sensitive extended irreducible forms</td>
+ <td class="snns file water">cix ( ⦃?,?⦄ ⊢ 𝐈[?,?]⦃?⦄ )</td>
+ <td class="snnn file water">cix_append cix_lift</td>
<td class="snnn file water">
<br />
</td>
<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="snns plane water">context-sensitive extended reducible forms</td>
+ <td class="snns file water">crx ( ⦃?,?⦄ ⊢ 𝐑[?,?]⦃?⦄ )</td>
+ <td class="snnn file water">crx_append crx_lift</td>
+ <td class="snnn file water">
+ <br />
+ </td>
<td class="ssnn file water">
<br />
</td>
<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="snns plane water">context-sensitive normal forms</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>
<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 ltpr_tps ltpr_tpss ltpr_ltpss_dx ltpr_ltpss_sn ltpr_aaa ltpr_ltpr</td>
- <td class="snnn file water">
- <br />
- </td>
+ <td class="snns plane water">context-sensitive reduction</td>
+ <td class="snns file water">lpr ( ⦃?,?⦄ ⊢ ➡ ? )</td>
+ <td class="snnn file water">lpr_ldrop lpr_lpr</td>
<td class="snnn file water">
<br />
</td>
<td class="nnns plane water">
<br />
</td>
- <td class="snns file water">tpr ( ? ➡ ? )</td>
- <td class="snnn file water">tpr_lift tpr_delift tpr_tpr</td>
- <td class="snnn file water">
- <br />
- </td>
+ <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>
</tr>
<tr>
- <td class="snns component green">unfold</td>
- <td class="snns plane green">restricted parallel computation</td>
- <td class="snns file green">lpqs ( ? ⊢ ➤* ? )</td>
- <td class="snnn file green">lpqs_ldrop lpqs_cpqs lpqs_lpqs</td>
- <td class="snnn file green">
+ <td class="nnns component water">
<br />
</td>
- <td class="snnn file green">
+ <td class="snns plane water">context-sensitive irreducible forms</td>
+ <td class="snns file water">cir ( ⦃?,?⦄ ⊢ 𝐈⦃?⦄ )</td>
+ <td class="snnn file water">cir_append cir_lift</td>
+ <td class="snnn file water">
<br />
</td>
- <td class="ssnn file green">
+ <td class="ssnn file water">
<br />
</td>
</tr>
<tr>
- <td class="nnns component green">
- <br />
- </td>
- <td class="nnns plane green">
- <br />
- </td>
- <td class="snns file green">cpqs ( ? ⊢ ? ➤* ? )</td>
- <td class="snnn file green">cpqs_lift</td>
- <td class="snnn file green">
+ <td class="nnns component water">
<br />
</td>
- <td class="snnn file green">
+ <td class="snns plane water">context-sensitive reducible forms</td>
+ <td class="snns file water">crr ( ⦃?,?⦄ ⊢ 𝐑⦃?⦄ )</td>
+ <td class="snnn file water">crr_append crr_lift</td>
+ <td class="snnn file water">
<br />
</td>
- <td class="ssnn file green">
+ <td class="ssnn file water">
<br />
</td>
</tr>
<tr>
- <td class="nnns component green">
- <br />
- </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 class="snns file green">unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )</td>
<td class="snnn file green">
<br />
</td>
<td class="nnns component green">
<br />
</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_lpss sstas_aaa sstas_sstas</td>
- <td class="snnn file green">
- <br />
- </td>
- <td class="snnn file green">
- <br />
- </td>
+ <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="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_lpss ssta_aaa ssta_ssta</td>
- <td class="snnn file 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 lsuba_aaa lsuba_lsuba</td>
<td class="snnn file grass">
<br />
</td>
<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 lsuba_aaa lsuba_lsuba</td>
- <td class="snnn file 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 aaa_lifts 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">atomic arity assignment</td>
- <td class="snns file grass">aaa ( ? ⊢ ? ⁝ ? )</td>
- <td class="snnn file grass">aaa_lift aaa_lifts aaa_lpss aaa_aaa</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 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">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>
</tr>
<tr>
- <td class="snns component yellow">substitution</td>
- <td class="snns plane yellow">parallel substitution</td>
- <td class="snns file yellow">lpss ( ? ⊢ ▶* ? )</td>
- <td class="snnn file yellow">lpss_ldrop lpss_cpss lpss_lpss</td>
- <td class="snnn file yellow">
+ <td class="nnns component grass">
<br />
</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">
+ <td class="nnns component grass">
<br />
</td>
- <td class="nnns plane 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="snns file yellow">cpss ( ? ⊢ ? ▶* ? )</td>
- <td class="snnn file yellow">cpss_lift</td>
- <td class="snnn file yellow">
+ <td class="ssnn file grass">
<br />
</td>
+ </tr>
+ <tr>
+ <td class="snns component yellow">substitution</td>
+ <td class="snns plane yellow">restricted local env. ref.</td>
+ <td class="snns file yellow">lsubr ( ? ⊑ ? )</td>
+ <td class="snnn file yellow">lsubr_lsubr</td>
<td class="snnn file yellow">
<br />
</td>
<br />
</td>
<td class="snns plane yellow">iterated structural successor for closures</td>
- <td class="snns file yellow">fsups ( ⦃?,?⦄ ⊃* ⦃?,?⦄ )</td>
- <td class="snnn file yellow">fsups_fsups</td>
- <td class="snnn file yellow">
- <br />
- </td>
- <td class="snnn file yellow">
- <br />
- </td>
+ <td class="snns file yellow">fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )</td>
+ <td class="snnn file yellow">fqus_alt</td>
+ <td class="snnn file yellow">fqus_fqus</td>
<td class="ssnn file yellow">
<br />
</td>
<td class="nnns plane yellow">
<br />
</td>
- <td class="snns file yellow">fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )</td>
- <td class="snnn file yellow">fsupp_fsupp</td>
- <td class="snnn file yellow">
- <br />
- </td>
+ <td class="snns file yellow">fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )</td>
+ <td class="snnn file yellow">fqup_fqup</td>
<td class="snnn file yellow">
<br />
</td>
<td class="snnn file yellow">
<br />
</td>
- <td class="snnn file yellow">
- <br />
- </td>
<td class="ssnn file yellow">
<br />
</td>
<td class="snnn file yellow">
<br />
</td>
- <td class="snnn file yellow">
- <br />
- </td>
<td class="ssnn file yellow">
<br />
</td>
<td class="snnn file yellow">
<br />
</td>
- <td class="snnn file yellow">
- <br />
- </td>
<td class="ssnn file yellow">
<br />
</td>
<td class="snns file yellow">gr2 ( @⦃?,?⦄ ≡ ? )</td>
<td class="snnn file yellow">gr2_plus ( ? + ? )</td>
<td class="snnn file yellow">gr2_minus ( ? ▭ ? ≡ ? )</td>
- <td class="snnn file yellow">gr2_gr2</td>
- <td class="ssnn file yellow">
- <br />
- </td>
+ <td class="ssnn file yellow">gr2_gr2</td>
</tr>
<tr>
<td class="snns component orange">relocation</td>
<td class="snns plane orange">structural successor for closures</td>
- <td class="snns file orange">fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )</td>
- <td class="snnn file orange">
- <br />
- </td>
- <td class="snnn file orange">
- <br />
- </td>
- <td class="snnn file orange">
- <br />
- </td>
+ <td class="snns file orange">fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )</td>
+ <td class="snnn file orange">fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )</td>
+ <td class="snnn file orange">fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )</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>
</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="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">lsubr ( ? ⊑[?,?] ? )</td>
- <td class="snnn file orange">(lsubr_lsubr)</td>
- <td class="snnn file orange">lsubr_lbotr ( ⊒[?,?] ? )</td>
+ <td class="snnn file orange">ldrop_append ldrop_lpx_sn ldrop_ldrop</td>
<td class="snnn file orange">
<br />
</td>
<td class="snnn file orange">
<br />
</td>
- <td class="snnn file orange">
- <br />
- </td>
<td class="ssnn file orange">
<br />
</td>
<td class="snnn file orange">
<br />
</td>
- <td class="snnn file orange">
- <br />
- </td>
<td class="ssnn file orange">
<br />
</td>
</tr>
<tr>
<td class="snns component red">grammar</td>
- <td class="snns plane red">same head term form</td>
- <td class="snns file red">tshf ( ? ≈ ? )</td>
- <td class="snnn file red">(tshf_tshf)</td>
- <td class="snnn file red">
- <br />
- </td>
+ <td class="snns plane red">pointwise extension of a relation</td>
+ <td class="snns file red">lpx_sn</td>
+ <td class="snnn file red">lpx_sn_tc lpx_sn_lpx_sn</td>
<td class="snnn file red">
<br />
</td>
<td class="snnn file red">
<br />
</td>
- <td class="snnn file red">
- <br />
- </td>
<td class="ssnn file red">
<br />
</td>
</td>
<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">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="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: Sat, 20 Apr 2013 21:34:40 +0200</div>
+ <div xmlns:ld="http://lambdadelta.info/" class="spacer">Last update: Thu, 24 Oct 2013 23:58:51 +0200</div>
</body>
</html>
projects / helm.git / blobdiff