X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fwww%2Flambdadelta%2Fbasic_2.html;h=1b36b571ecadb27ea144a55017df85d4ad269276;hb=bc389dd4724959688aafc1ede450794f47b8d0b5;hp=df81e0374cc8b667b2677a46353de243cc1dc9b0;hpb=b9d48c1a4433b3a2b17483bc207b2092f7ac4fd2;p=helm.git diff --git a/helm/www/lambdadelta/basic_2.html b/helm/www/lambdadelta/basic_2.html index df81e0374..1b36b571e 100644 --- a/helm/www/lambdadelta/basic_2.html +++ b/helm/www/lambdadelta/basic_2.html @@ -6,8 +6,8 @@ - - lambdadelta version 2 + + \lambda\delta home page @@ -19,1056 +19,1346 @@ [lambdadelta home] -
cic:/matita/lambdadelta/basic_2/ (λδ version 2)
+
cic:/matita/lambdadelta/basic_2/ (core λδ version 2)
[Spacer]
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System's Syntax and Behavior
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This is a summary of the "block structure" - of the System's syntactic items and reductions. -
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domainblockleaderapplicator (with →θ)*reduction→ζ *reference *
{X | Γ ⊢ X : W}local typed abstraction *Γ ⊢ +λWⓐV→βno#i
+ + home + + news + + specification +
local typed declaration **Γ ⊢ -λWⓐV→βno#i
+
global typed declaration ***Γ ⊢ pλWnonono$p
+ + documentation + + implementation +
native type annotation *Γ ⊢ ⓝWnonoyesno
{X | Γ ⊢ X = V}local abbreviation *Γ ⊢ +δVnolocal →δyes#i
+ + foreword + + milestones + + version 2 + (background - core - applications)
local definition **Γ ⊢ -δVnolocal →δno#i + version 2 + + library + (static LDDL directory)
+ + citations + + visibility + + version 1 + (background - core)(static HELM directory) + version 1 + + helena +
global definition ***Γ ⊢ pδVnoglobal →δno$p
nosort ****Γ ⊢ ⋆knononono
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* In terms only. + +
Summary of the Specification [spacer] +
+
Here is a numerical account of the specification's contents and its timeline.
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categoryobjects + categoryobjects
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sizesfiles195 characters365052nodes984918sizesfiles360characters437272nodes1935835
propositionstheorems84lemmas781total865propositionstheorems130lemmas1303total1433
conceptsdeclared42defined70total112conceptsdeclared54defined89total143
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    +
    Stage "B"
    +
    • - In progress. + Ongoing. Context-sensitive subject equivalence for native type assignment.
    -
      +
      Stage "A": "Extending the Applicability Condition"
      +
      • - In progress. - Closure of extended context-sensitive computation - for native validity. + 2014 October 28. + λδ version 2A is released.
      -
        +
        • - In progress. - Extended context-sensitive strong normalization + 2014 September 9. + Iterated static type assignment defined (more elegantly) + as a primitive notion. +
          • +
        +
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        • + 2014 June 18. + Preservation of stratified native validity + for context-sensitive computation on terms. +
          • +
        +
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        • + 2014 June 9. + Strong qrst-normalization for simply typed terms.
        -
          +
          • - 2013 April 16. - Reaxiomatized substitution and reduction + 2014 April 16. + Lazy equivalence on local environments + added as q-step to rst-computation on closures + (anniversary milestone). +
            • +
          +
            +
          • + 2014 January 20. + Parametrized slicing of local environments + comprises both versions of this operation + (one from basic_1, the other used in basic_2 till now). +
            • +
          +
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          • + 2013 August 7. + Passive support for global environments. +
            • +
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          • + 2013 July 27. + Reaxiomatized β-reductum as in rt-reduction. +
            • +
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          • + 2013 July 20. + Context-sensitive strong rt-normalization + for simply typed terms. +
            • +
          +
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          • + 2013 April 16. + Reaxiomatized substitution and reduction commute with respect to subclosure (anniversary milestone).
          -
            +
            • - 2013 March 16. + 2013 March 16. Mutual recursive preservation of stratified native validity - for hyper computation on closures. + for rst-computation on closures.
            -
              +
              • - 2012 October 16. + 2012 October 16. Confluence for context-free parallel reduction on closures.
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                • - 2012 July 26. - Term binders polarized to control ζ reduction. + 2012 July 26. + Term binders polarized to control ζ-reduction (not released).
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                  • - 2012 April 16. + 2012 April 16. Context-sensitive subject equivalence for atomic arity assignment (anniversary milestone).
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                    • - 2012 March 15. + 2012 March 15. Context-sensitive strong normalization for simply typed terms.
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                      • - 2012 January 27. + 2012 January 27. Support for abstract candidates of reducibility.
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                        • - 2011 September 21. + 2011 September 21. Confluence for context-sensitive parallel reduction on terms.
                        -
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                          • - 2011 September 6. + 2011 September 6. Confluence for context-free parallel reduction on terms.
                          -
                            +
                            • - 2011 April 17. + 2011 April 17. Specification starts.
                            - -
                            Logical Structure of the Specification
                            -
                            The source files are grouped in planes and components - according to the following table. - A notation file covering the whole specification is provided. - The notation for the relations or functions introduced in each file - is shown in parentheses (? are placeholders). +
                            Logical Structure of the Specification [spacer] +
                            +
                            This table reports the specification's components and their planes.
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                            componentplanefiles + componentplanefiles
                            		+
                            		+
                            dynamic typing"big tree" parallel computationyprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )yprs_yprsygt ( ? ⊢ ⦃?,?⦄ >[g] ⦃?,?⦄ )ygt_ygtexamplesterms with special featuresex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta +
                            +                             		+
                            +                             		+
                            +
                            + + + +
                            		"big tree" parallel reductionypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ ) +
                            		+
                            + dynamic typinglocal env. ref. for stratified native validitylsubsv ( ? ⊢ ? ⫃¡[?,?] ? )lsubsv_lsuba lsubsv_lsubd lsubsv_lstas lsubsv_scpds lsubsv_cpcs lsubsv_snv
                            		local env. ref. for stratified native validitylsubsv ( ? ⊢ ? ¡⊑[?] ? )lsubsv_ldrop lsubsv_lsuba lsubsv_ssta lsubsv_dxprs lsubsv_cpcs lsubsv_snv + +
                            +

                            		+ stratified native validityshnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] ) +
                            +                             		+
                            +
                            +
                            		stratified native validitysnv ( ⦃?,?⦄ ⊢ ? ¡[?] )snv_lift snv_ltpss_dx snv_ltpss_sn snv_aaa snv_ssta snv_sstas snv_ssta_ltpr snv_ltpr snv_cpcs +
                            		+ snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )snv_lift snv_aaa snv_da_lpr snv_lstas snv_lstas_lpr snv_lpr snv_fsb snv_scpes snv_preserve +
                            +
                            equivalencefocalized equivalencelfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )lfpcs_aaa lfpcs_fpcs lfpcs_lfprs lfpcs_lfpcs + equivalencedecomposed rt-equivalencescpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )scpes_aaa scpes_cpcs scpes_scpes
                            		+
                            +
                            		+ context-sensitive equivalencecpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )cpcs_aaa cpcs_cprs cpcs_cpcs
                            		fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )fpcs_aaa fpcs_cpcs fpcs_fprs fpcs_fpcs +
                            		+
                            conversioncontext-sensitive conversioncpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )cpc_cpc +
                            +
                            + computationevaluation for context-sensitive rt-reductioncpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )
                            		local env. ref. for stratified static type assignmentlsubss ( ? •⊑[?] ? )lsubss_ldrop lsubss_ssta lsubss_cpcs +
                            		+
                            +
                            		context-sensitive equivalencecpcs ( ? ⊢ ? ⬌* ? )cpcs_ltpss_dx cpcs_ltpss_sn cpcs_delift cpcs_aaa cpcs_ltpr cpcs_cprs cpcs_cpcs + evaluation for context-sensitive reductioncpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )cpre_cpre
                            		+
                            conversionfocalized conversionlfpc ( ⦃?⦄ ⬌ ⦃?⦄ )lfpc_lfpc +
                            		+ strongly normalizing qrst-computationfsb ( ⦥[?,?] ⦃?,?,?⦄ )fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )fsb_aaa fsb_csx
                            + +
                            +                             		strongly normalizing rt-computationlcosx ( ? ⊢ ~⬊*[?,?,?] ? )lcosx_cpx +
                            +
                            		+

                            		fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )fpc_fpc +
                            		+ lsx ( ? ⊢ ⬊*[?,?,?,?] ? )lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )lsx_drop lsx_lpx lsx_lpxs llsx_csx
                            +
                            		context-sensitive conversioncpc ( ? ⊢ ? ⬌ ? )cpc_cpc +
                            		+ csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )csx_tsts_vector csx_aaa +
                            +
                            computationfocalized computationlfprs ( ⦃?⦄ ➡* ⦃?⦄ )lfprs_aaa lfprs_ltprs lfprs_cprs lfprs_fprs lfprs_lfprs + +
                            +
                            		+ csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )csx_lift csx_lleq csx_lpx csx_lpxs csx_fpbs
                            +
                            		+ parallel qrst-computationfpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )fpbg_lift fpbg_fleq fpbg_fpbs fpbg_fpbg
                            		fprs ( ⦃?,?⦄ ➡* ⦃?,?⦄ )fprs_aaa fprs_fprs +
                            		+
                            +
                            +                             		+
                            +                             		fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )fpbs_lift fpbs_aaa fpbs_fpb fpbs_fpbs
                            +
                            		decomposed extended computationdxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )dxprs_lift dxprs_ltpss_dx dxprs_ltpss_sn dxprs_aaa dxprs_dxprs + decomposed rt-computationscpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )scpds_lift scpds_aaa scpds_scpds
                            		+
                            +
                            		weakly normalizing computationcpe ( ? ⊢ ➡* 𝐍⦃?⦄ )cpe_cpe + context-sensitive rt-computationlpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )lpxs_drop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs
                            		+
                            +
                            		strongly normalizing computationcsn_vector ( ? ⊢ ⬊* ? )csn_cpr_vector csn_tstc_vector csn_aaa +
                            		+ cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )cpxs_tsts cpxs_tsts_vector cpxs_lreq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs +
                            +
                            +
                            		+ context-sensitive computationlprs ( ⦃?,?⦄ ⊢ ➡* ? )lprs_drop lprs_cprs lprs_lprs
                            		csn ( ? ⊢ ⬊* ? )csn_alt ( ? ⊢ ⬊⬊* ? )csn_lift csn_cpr csn_lfpr +
                            + +
                            +
                            		context-sensitive computationlprs ( ? ⊢ ➡* ? )lprs_alt ( ? ⊢ ➡➡* ? )lprs_ldrop lprs_aaa lprs_cprs lprs_lprs + cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)cprs_lift cprs_cprs +
                            +
                            +
                            		+ local env. ref. for generic reducibilitylsubc ( ? ⊢ ? ⫃[?] ? )lsubc_drop lsubc_drops lsubc_lsuba
                            		cprs ( ? ⊢ ? ➡* ?)cprs_lift cprs_tpss cprs_ltpss_dx cprs_ltpss_sn cprs_aaa cprs_lpr cprs_cprs cprs_tstc cprs_tstc_vector +
                            		+
                            +
                            +                             		support for generic computation propertiesgcpgcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )gcp_aaa +
                            +
                            reductionparallel qrst-reductionfpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )fpbq_lift fpbq_aaa
                            +
                            		local env. ref. for abstract candidates of reducibilitylsubc ( ? ⊑[?] ? )lsubc_ldrop lsubc_ldrops lsubc_lsuba +
                            		+ fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )fpb_lift fpb_lleq fpb_fleq +
                            +                             		+
                            +
                            +
                            +                             		normal forms for context-sensitive rt-reductioncnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )cnx_lift cnx_crx cnx_cix +
                            +                             		+
                            +
                            +
                            +                             		context-sensitive rt-reductionlpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )lpx_drop lpx_frees lpx_lleq lpx_aaa +
                            +                             		+
                            +
                            +
                            +                             		+
                            +                             		cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )cpx_lreq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix +
                            +                             		+
                            +
                            +
                            +                             		irreducible forms for context-sensitive rt-reductioncix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )cix_lift +
                            +
                            + +
                            +                             		reducible forms for context-sensitive rt-reductioncrx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )crx_lift
                            		support for abstract computation propertiesacpacp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )acp_aaa +
                            reductioncontext-sensitive normal formscnf ( ? ⊢ 𝐍⦃?⦄ )cnf_liftt cnf_crf cnf_cif +
                            		+ normal forms for context-sensitive reductioncnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )cnr_lift cnr_crr cnr_cir +
                            +
                            +
                            		context-sensitive reductionlpr ( ? ⊢ ➡ ? )lpr_ldrop lpr_cpss lpr_lpss lpr_aaa lpr_cpr lpr_lpr + context-sensitive reductionlpr ( ⦃?,?⦄ ⊢ ➡ ? )lpr_drop lpr_lpr
                            		+
                            +
                            		+
                            		cpr ( ? ⊢ ? ➡ ? )cpr_lift cpr_cif + cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )cpr_lift cpr_llpx_sn cpr_cir
                            		+
                            + +
                            +                             		irreducible forms for context-sensitive reductioncir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )cir_lift +
                            +
                            		context-sensitive reducible formscrf ( ? ⊢ 𝐑⦃?⦄ )crf_appendcif ( ? ⊢ 𝐈⦃?⦄ )cif_append
                            unfoldrestricted parallel computationlpqs ( ? ⊢ ➤* ? )lpqs_ldrop lpqs_cpqs lpqs_lpqs + +
                            +                             		reducible forms for context-sensitive reductioncrr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )crr_lift +
                            +                             		+
                            +
                            unfoldunfoldunfold ( ⦃?,?⦄ ⊢ ? ⧫* ? ) +
                            +
                            		+
                            +
                            		+ iterated static type assignmentlstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )lstas_lift lstas_llpx_sn.ma lstas_aaa lstas_da lstas_lstas
                            		cpqs ( ? ⊢ ? ➤* ? )cpqs_lift +
                            		+
                            static typinglocal env. ref. for degree assignmentlsubd ( ? ⊢ ? ⫃▪[?,?] ? )lsubd_da lsubd_lsubd +
                            +
                            + +
                            +                             		degree assignmentda ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )da_lift da_aaa da_da +
                            +
                            		unfoldunfold ( ? ⊢ ? ⧫* ? ) +

                            		+ parametersshsd
                            		+
                            +
                            		iterated stratified static type assignmentsstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )sstas_lift sstas_lpss sstas_aaa sstas_sstas + local env. ref. for atomic arity assignmentlsuba ( ? ⊢ ? ⫃⁝ ? )lsuba_aaa lsuba_lsuba
                            		+
                            static typingstratified static type assignmentssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )ssta_lift ssta_lpss ssta_aaa ssta_ssta +
                            		+ atomic arity assignmentaaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_aaa +
                            +
                            +
                            		local env. ref. for atomic arity assignmentlsuba ( ? ⁝⊑ ? )lsuba_ldrop lsuba_aaa lsuba_lsuba + restricted local env. ref.lsubr ( ? ⫃ ? )lsubr_lsubr
                            		+
                            + multiple substitutionlazy equivalencefleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )fleq_fleq
                            		atomic arity assignmentaaa ( ? ⊢ ? ⁝ ? )aaa_lift aaa_lifts aaa_lpss aaa_aaa +
                            		+
                            +
                            +                             		+
                            +                             		lleq ( ? ≡[?,?] ? )lleq_alt lleq_alt_rec lleq_lreq lleq_drop lleq_fqus lleq_llor lleq_lleq +
                            +
                            +
                            		parametersshsd + lazy pointwise extension of a relationllpx_snllpx_sn_alt llpx_sn_alt_rec llpx_sn_tc llpx_sn_lreq llpx_sn_drop llpx_sn_lpx_sn llpx_sn_frees llpx_sn_llor
                            		+
                            substitutionparallel substitutionlpss ( ? ⊢ ▶* ? )lpss_ldrop lpss_cpss lpss_lpss +
                            		+ pointwise union for local environmentsllor ( ? ⋓[?,?] ? ≡ ? )llor_alt llor_drop +
                            +
                            + +
                            +                             		context-sensitive exclusion from free variablesfrees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )frees_append frees_lreq frees_lift
                            		+
                            		cpss ( ? ⊢ ? ▶* ? )cpss_lift +

                            		+ context-sensitive multiple rt-substitutioncpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )cpys_lift cpys_cpys
                            +
                            		local env. ref. for substitutionlsubr ( ? ⊑ ? )lsubr_lsubr + iterated structural successor for closuresfqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )fqus_alt fqus_fqus
                            		+
                            + +
                            +
                            		iterated structural successor for closuresfsups ( ⦃?,?⦄ ⊃* ⦃?,?⦄ )fsups_fsups + fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )fqup_fqup
                            		+
                            + +
                            +                             		iterated local env. slicingdrops ( ⬇*[?,?] ? ≡ ? )drops_drop drops_drops
                            		+ +
                            +

                            		fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )fsupp_fsupp + generic term relocationlifts_vector ( ⬆*[?] ? ≡ ? )lifts_lift_vector
                            		+
                            +
                            		generic local env. slicingldrops ( ⇩*[?] ? ≡ ? )ldrops_ldrop ldrops_ldrops +
                            		+ lifts ( ⬆*[?] ? ≡ ? )lifts_lift lifts_lifts +
                            +
                            +
                            		generic term relocationlifts_vector ( ⇧*[?] ? ≡ ? )lifts_lift_vector + support for multiple relocationmr2 ( @⦃?,?⦄ ≡ ? )mr2_plus ( ? + ? )mr2_minus ( ? ▭ ? ≡ ? )mr2_mr2
                            substitutionstructural successor for closuresfquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )
                            		+
                            +
                            		+
                            		lifts ( ⇧*[?] ? ≡ ? )lifts_lift lifts_lifts + fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )
                            		+ +
                            +
                            + +
                            +                             		global env. slicinggget ( ⬇[?] ? ≡ ? )gget_gget +
                            +
                            		support for generic relocationgr2 ( @⦃?,?⦄ ≡ ? )gr2_plus ( ? + ? )gr2_minus ( ? ▭ ? ≡ ? )gr2_gr2
                            relocationstructural successor for closuresfsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ ) +
                            		+ context-sensitive ordinary rt-substitutioncpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )cpy_lift cpy_nlift cpy_cpy
                            		+
                            +
                            		global env. slicinggdrop ( ⇩[?] ? ≡ ? )gdrop_gdrop + local env. ref. for rt-substitutionlsuby ( ? ⊆[?,?] ? )lsuby_lsuby
                            		+
                            +
                            		basic local env. slicingldrop ( ⇩[?,?] ? ≡ ? )ldrop_append ldrop_lpx_sn ldrop_ldrop + pointwise extension of a relationlpx_snlpx_sn_alt lpx_sn_tc lpx_sn_drop lpx_sn_lpx_sn
                            		+
                            +
                            		basic term relocationlift_vector ( ⇧[?,?] ? ≡ ? )lift_lift_vector + basic local env. slicingdrop ( ⬇[?,?,?] ? ≡ ? )drop_append drop_lreq drop_drop
                            		+
                            +
                            		+ basic term relocationlift_vector ( ⬆[?,?] ? ≡ ? )lift_lift_vector
                            		lift ( ⇧[?,?] ? ≡ ? )lift_lift + +
                            +

                            		+ +
                            +                             		lift ( ⬆[?,?] ? ≡ ? )lift_neq lift_lift +
                            +
                            grammarpointwise extension of a relationlpx_snlpx_sn_tc lpx_sn_lpx_sn + grammarequivalence for local environmentslreq ( ? ⩬[?,?] ? )lreq_lreq
                            		+
                            +
                            		same top term constructortstc ( ? ≃ ? )tstc_tstc tstc_vector + same top term structuretsts ( ? ≂ ? )tsts_tsts tsts_vector
                            		+
                            +
                            		closurescl_shift ( ? @@ ? )cl_weight ( ♯{?,?} ) + closurescl_weight ( ♯{?,?,?} )cl_restricted_weight ( ♯{?,?} )
                            		+
                            +
                            		internal syntaxgenv + internal syntaxgenv
                            		+
                            		+
                            +
                            		+
                            		lenvlenv_weight ( ♯{?} )lenv_length ( |?| )lenv_append ( ? @@ ? )lenvlenv_weight ( ♯{?} )lenv_length ( |?| )lenv_append ( ? @@ ? )
                            +
                            		+
                            		termterm_weight ( ♯{?} )term_simple ( 𝐒⦃?⦄ )term_vectortermterm_weight ( ♯{?} )term_simple ( 𝐒⦃?⦄ )term_vector ( Ⓐ?.? )
                            +
                            		+
                            		item + item
                            		+
                            		+
                            +
                            		external syntaxaarity + external syntaxaarity
                            		+
                            		+
                            - -
                            Physical Structure of the Specification
                            -
                            The source files are grouped in directories, - one for each component. -
                            -
                            +
                            [Spacer]
                            @@ -1094,6 +1384,6 @@

                            -
                            Last update: Sun, 05 May 2013 20:24:24 +0200
                            - +
                            Last update: Sun, 06 Sep 2015 21:40:58 +0200
                            +