X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fwww%2Flambdadelta%2Fbasic_2.html;h=1b36b571ecadb27ea144a55017df85d4ad269276;hb=bc389dd4724959688aafc1ede450794f47b8d0b5;hp=c543bb9d2f1816f8d95a5cd4369588ef2a57ec91;hpb=b2c1a95861424ba23e491e2b258f7413efbc1fba;p=helm.git diff --git a/helm/www/lambdadelta/basic_2.html b/helm/www/lambdadelta/basic_2.html index c543bb9d2..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 @@ -19,1038 +19,1346 @@ [lambdadelta home] -
cic:/matita/lambdadelta/basic_2/ (λδ version 2)
+
cic:/matita/lambdadelta/basic_2/ (core λδ version 2)
[Spacer]
-
System's Syntax and Behavior
-
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
-
* In terms only. + +
Summary of the Specification [spacer] +
+
Here is a numerical account 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].
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- - - + + - - - - - - - - - - - + + + + + + + - - - - - - - + + + + + + + - - - - - - - + + + + + + +
categoryobjects + categoryobjects
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sizesfiles247 characters366699nodes1091471sizesfiles360characters437272nodes1935835
propositionstheorems76lemmas748total824propositionstheorems130lemmas1303total1433
conceptsdeclared41defined77total118conceptsdeclared54defined89total143
-
    +
    Stage "B"
    +
    • - In progress. + Ongoing. Context-sensitive subject equivalence for native type assignment.
    -
      +
      Stage "A": "Extending the Applicability Condition"
      +
        +
      • + 2014 October 28. + λδ version 2A is released. +
      • +
      +
      • - In progress. - Closure of context-sensitive extended computation - for native validity. + 2014 September 9. + Iterated static type assignment defined (more elegantly) + as a primitive notion. +
      • +
      +
        +
      • + 2014 June 18. + Preservation of stratified native validity + for context-sensitive computation on terms. +
      • +
      +
        +
      • + 2014 June 9. + Strong qrst-normalization + for simply typed terms.
      -
        +
        • - 2013 August 7. + 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). +
        • +
        +
          +
        • + 2013 August 7. Passive support for global environments.
        • -
        -
          +
        +
        • - 2013 July 27. - Reaxiomatized β-reductum as in extended β-reduction + 2013 July 27. + Reaxiomatized β-reductum as in rt-reduction.
        -
          +
          • - 2013 July 20. - Context-sensitive extended strong normalization + 2013 July 20. + Context-sensitive strong rt-normalization for simply typed terms.
          -
            +
            • - 2013 April 16. - Reaxiomatized substitution and reduction + 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.
                -
                  +
                  • - 2012 July 26. - Term binders polarized to control ζ-reduction. + 2012 July 26. + Term binders polarized to control ζ-reduction (not released).
                  -
                    +
                    • - 2012 April 16. + 2012 April 16. Context-sensitive subject equivalence for atomic arity assignment (anniversary milestone).
                    -
                      +
                      • - 2012 March 15. + 2012 March 15. Context-sensitive strong normalization for simply typed terms.
                      -
                        +
                        • - 2012 January 27. + 2012 January 27. Support for abstract candidates of reducibility.
                        -
                          +
                          • - 2011 September 21. + 2011 September 21. Confluence for context-sensitive parallel reduction on terms.
                          -
                            +
                            • - 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.
                              -
                              +
                              - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + - + + + - - - - - - - + + + + + + - - - - - + + + - - - - - - - + + + - - - - - - + + + - - - - - + - + + + - - - - - - + + + + - - - - - - + + + - - - - - + + + - - - - - - + + + - - + - + + - - - - - - - - - + + + - - - - - - - + + + + - + + + + - - - - + + - + + + + - + + + + + - - - - - + + + + + + + - - + + + - - - - + + + + + + + - - - - - - + + + - + + + + - - - - - - - - - - + + + + - - - - - - + + + - - - + + + - - - + + + - + + + + - - - - - + + + - - - - - - + + + - - + + + - - - - - - - - - - + + + - - + + + + - + + + - - - + + + - - - - - - + + + - - - - - - + + + - - - - - - + + + - - - - - - + + + - - - - - - + + + + - - - - - - - + + + - - - - - + + + - - - - - - + + + - - - - - - + + + + - - - - - - + + + + - + + + + + + + + + + + + + + + - + + + + + - + + - - - + + + - - + - - - - + + - - - - - - + + + + + + + + + + + - - + - + - - - - - + + + + + - - - - - - - - - - - + + + + + + + + + + + + + - - - - - + + + - - - - - - + + + - - - - - - + + + - - - - - - + + - - - - - - + + + + - - - - - - + + + - - - - - - + + + - - - - - + + - - - - - - - - + + + + - - - - - - + + + + - - - - + - - - - - - + + - -
                              componentplanefiles + componentplanefiles +
                              +
                              +
                              +
                              +
                              +
                              examplesterms with special featuresex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta +
                              +
                              +
                              +
                              +
                              +
                              + + + +
                              +
                              +
                              +
                              +
                              +
                              dynamic typinglocal env. ref. for stratified native validitylsubsv ( ? ⊢ ? ⫃¡[?,?] ? )lsubsv_lsuba lsubsv_lsubd lsubsv_lstas lsubsv_scpds lsubsv_cpcs lsubsv_snv +
                              +
                              +
                              +
                              +
                              +
                              stratified native validityshnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] ) +
                              +
                              +
                              +
                              +
                              +
                              +
                              +
                              +
                              +
                              snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )snv_lift snv_aaa snv_da_lpr snv_lstas snv_lstas_lpr snv_lpr snv_fsb snv_scpes snv_preserve +
                              +
                              +
                              +
                              equivalencedecomposed rt-equivalencescpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )scpes_aaa scpes_cpcs scpes_scpes +
                              +
                              +
                              +
                              +
                              +
                              context-sensitive equivalencecpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )cpcs_aaa cpcs_cprs cpcs_cpcs +
                              +
                              +
                              +
                              conversioncontext-sensitive conversioncpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )cpc_cpc +
                              +
                              +
                              +
                              computationevaluation for context-sensitive rt-reductioncpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ ) +
                              +
                              +
                              +
                              +
                              +

                              + evaluation for context-sensitive reductioncpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )cpre_cpre
                              +
                              dynamic typing"big tree" parallel computationyprs ( ? ⊢ ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )yprs_yprsygt ( ⦃?,?,?⦄ >[?,?] ⦃?,?,?⦄ )ygt_ygt +
                              +
                              strongly normalizing qrst-computationfsb ( ⦥[?,?] ⦃?,?,?⦄ )fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )fsb_aaa fsb_csx +
                              +
                              +
                              "big tree" parallel reductionypr ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )ysc ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ ) + strongly normalizing rt-computationlcosx ( ? ⊢ ~⬊*[?,?,?] ? )lcosx_cpx
                              +
                              +
                              local env. ref. for stratified native validitylsubsv ( ? ⊢ ? ¡⊑[?,?] ? )lsubsv_ldrop lsubsv_lsuba lsubsv_ssta lsubsv_dxprs lsubsv_cpcs lsubsv_snv +
                              + lsx ( ? ⊢ ⬊*[?,?,?,?] ? )lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )lsx_drop lsx_lpx lsx_lpxs llsx_csx
                              +
                              stratified native validitysnv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )snv_lift snv_aaa snv_ssta snv_sstas snv_ssta_lpr snv_lpr snv_cpcs +
                              + csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )csx_tsts_vector csx_aaa +
                              +

                              equivalencecontext-sensitive equivalencecpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )cpcs_aaa cpcs_cprs cpcs_cpcs + +
                              +

                              + csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )csx_lift csx_lleq csx_lpx csx_lpxs csx_fpbs
                              conversioncontext-sensitive conversioncpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )cpc_cpc +
                              + parallel qrst-computationfpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )fpbg_lift fpbg_fleq fpbg_fpbs fpbg_fpbg +
                              +

                              computationcontext-sensitive extended evaluationcpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ ) +
                              +
                              + fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )fpbs_lift fpbs_aaa fpbs_fpb fpbs_fpbs
                              +
                              context-sensitive evaluationcpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )cpre_cpre + decomposed rt-computationscpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )scpds_lift scpds_aaa scpds_scpds
                              +
                              +
                              strongly normalizing computationcsn_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )csn_tstc_vector csn_aaa + context-sensitive rt-computationlpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )lpxs_drop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs
                              +
                              + +
                              +

                              + cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )cpxs_tsts cpxs_tsts_vector cpxs_lreq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs
                              csn ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )csn_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )csn_lift csn_lpx +
                              +
                              decomposed extended computationdxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )dxprs_lift dxprs_aaa dxprs_dxprs + context-sensitive computationlprs ( ⦃?,?⦄ ⊢ ➡* ? )lprs_drop lprs_cprs lprs_lprs
                              +
                              +
                              context-sensitive extended computationlpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )lpxs_ldrop lpxs_aaa lpxs_cpxs lpxs_lpxs + +
                              +
                              cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)cprs_lift cprs_cprs +
                              +

                              + +
                              +
                              local env. ref. for generic reducibilitylsubc ( ? ⊢ ? ⫃[?] ? )lsubc_drop lsubc_drops lsubc_lsuba
                              +
                              cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )cpxs_tstc cpxs_tstc_vector cpxs_lift cpxs_aaa cpxs_cpxs +

                              + support for generic computation propertiesgcpgcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )gcp_aaa
                              + reductionparallel qrst-reductionfpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )fpbq_lift fpbq_aaa
                              context-sensitive computationlprs ( ⦃?,?⦄ ⊢ ➡* ? )lprs_alt ( ⦃?,?⦄ ⊢ ➡➡* ? )lprs_ldrop lprs_cprs lprs_lprs +
                              +
                              +
                              +
                              +
                              fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )fpb_lift fpb_lleq fpb_fleq +
                              +

                              +
                              + normal forms for context-sensitive rt-reductioncnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )cnx_lift cnx_crx cnx_cix
                              cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)cprs_lift cprs_cprs +
                              +
                              +
                              +
                              context-sensitive rt-reductionlpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )lpx_drop lpx_frees lpx_lleq lpx_aaa +
                              +

                              +
                              local env. ref. for abstract candidates of reducibilitylsubc ( ? ⊢ ? ⊑[?] ? )lsubc_ldrop lsubc_ldrops lsubc_lsuba +
                              + cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )cpx_lreq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix +
                              +

                              + +
                              +
                              irreducible forms for context-sensitive rt-reductioncix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )cix_lift
                              support for abstract computation propertiesacpacp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )acp_aaa +
                              reductioncontext-sensitive extended normal formscnx ( ⦃?,?⦄ ⊢ 𝐍[?,?]⦃?⦄ )cnx_lift cnx_crx cnx_cix + +
                              +
                              reducible forms for context-sensitive rt-reductioncrx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )crx_lift
                              +
                              +
                              context-sensitive extended reductionlpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )lpx_ldrop lpx_aaa + normal forms for context-sensitive reductioncnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )cnr_lift cnr_crr cnr_cir
                              +
                              +
                              + context-sensitive reductionlpr ( ⦃?,?⦄ ⊢ ➡ ? )lpr_drop lpr_lpr
                              cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )cpx_lift cpx_cix + +
                              +

                              + +
                              +
                              cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )cpr_lift cpr_llpx_sn cpr_cir +
                              +

                              +
                              context-sensitive extended irreducible formscix ( ⦃?,?⦄ ⊢ 𝐈[?,?]⦃?⦄ )cix_append cix_lift + irreducible forms for context-sensitive reductioncir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )cir_lift
                              +
                              +
                              context-sensitive extended reducible formscrx ( ⦃?,?⦄ ⊢ 𝐑[?,?]⦃?⦄ )crx_append crx_lift + reducible forms for context-sensitive reductioncrr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )crr_lift
                              +
                              + unfoldunfoldunfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )
                              context-sensitive normal formscnr ( ⦃?,?⦄ ⊢ 𝐍⦃?⦄ )cnr_lift cnr_crr cnr_cir +
                              +
                              +
                              context-sensitive reductionlpr ( ⦃?,?⦄ ⊢ ➡ ? )lpr_ldrop lpr_lpr + iterated static type assignmentlstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )lstas_lift lstas_llpx_sn.ma lstas_aaa lstas_da lstas_lstas
                              +
                              + static typinglocal env. ref. for degree assignmentlsubd ( ? ⊢ ? ⫃▪[?,?] ? )lsubd_da lsubd_lsubd
                              + +
                              +

                              cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )cpr_lift cpr_cir + degree assignmentda ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )da_lift da_aaa da_da
                              +
                              +
                              context-sensitive irreducible formscir ( ⦃?,?⦄ ⊢ 𝐈⦃?⦄ )cir_append cir_lift + parametersshsd
                              +
                              +
                              context-sensitive reducible formscrr ( ⦃?,?⦄ ⊢ 𝐑⦃?⦄ )crr_append crr_lift + local env. ref. for atomic arity assignmentlsuba ( ? ⊢ ? ⫃⁝ ? )lsuba_aaa lsuba_lsuba
                              +
                              unfoldunfoldunfold ( ⦃?,?⦄ ⊢ ? ⧫* ? ) +
                              + atomic arity assignmentaaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_aaa
                              +
                              +
                              iterated stratified static type assignmentsstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )sstas_lift sstas_aaa sstas_sstas + restricted local env. ref.lsubr ( ? ⫃ ? )lsubr_lsubr
                              +
                              static typingstratified static type assignmentssta ( ⦃?,?⦄ ⊢ ? •[?,?] ⦃?,?⦄ )ssta_lift ssta_aaa ssta_ssta + multiple substitutionlazy equivalencefleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )fleq_fleq
                              +
                              +
                              local env. ref. for atomic arity assignmentlsuba ( ? ⊢ ? ⁝⊑ ? )lsuba_ldrop lsuba_aaa lsuba_lsuba +
                              + lleq ( ? ≡[?,?] ? )lleq_alt lleq_alt_rec lleq_lreq lleq_drop lleq_fqus lleq_llor lleq_lleq +
                              +

                              +
                              atomic arity assignmentaaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )aaa_lift aaa_lifts aaa_aaa + 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
                              +
                              +
                              parametersshsd + pointwise union for local environmentsllor ( ? ⋓[?,?] ? ≡ ? )llor_alt llor_drop
                              +
                              substitutionrestricted local env. ref.lsubr ( ? ⊑ ? )lsubr_lsubr + +
                              +
                              context-sensitive exclusion from free variablesfrees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )frees_append frees_lreq frees_lift
                              +
                              +
                              iterated structural successor for closuresfsups ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )fsups_fsups + context-sensitive multiple rt-substitutioncpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )cpys_lift cpys_cpys
                              +
                              +
                              +
                              iterated structural successor for closuresfqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )fqus_alt fqus_fqus +
                              +
                              +
                              +
                              +
                              +
                              +
                              +
                              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 ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )
                              +
                              + +
                              +

                              + fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )
                              lifts ( ⇧*[?] ? ≡ ? )lifts_lift lifts_lifts +
                              +
                              + +
                              +
                              global env. slicinggget ( ⬇[?] ? ≡ ? )gget_gget +
                              +

                              support for generic relocationgr2 ( @⦃?,?⦄ ≡ ? )gr2_plus ( ? + ? )gr2_minus ( ? ▭ ? ≡ ? )gr2_gr2
                              relocationstructural successor for closuresfsup ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )fsupq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )fsupq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ ) + +
                              +
                              context-sensitive ordinary rt-substitutioncpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )cpy_lift cpy_nlift cpy_cpy +
                              +
                              +
                              +
                              +
                              +
                              local env. ref. for rt-substitutionlsuby ( ? ⊆[?,?] ? )lsuby_lsuby +
                              +

                              +
                              global env. slicinggdrop ( ⇩[?] ? ≡ ? )gdrop_gdrop + pointwise extension of a relationlpx_snlpx_sn_alt lpx_sn_tc lpx_sn_drop lpx_sn_lpx_sn
                              +
                              +
                              basic local env. slicingldrop ( ⇩[?,?] ? ≡ ? )ldrop_append ldrop_lpx_sn ldrop_ldrop + basic local env. slicingdrop ( ⬇[?,?,?] ? ≡ ? )drop_append drop_lreq drop_drop
                              +
                              +
                              basic term relocationlift_vector ( ⇧[?,?] ? ≡ ? )lift_lift_vector + 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]
                              @@ -1076,6 +1384,6 @@

                              -
                              Last update: Wed, 07 Aug 2013 23:40:05 +0200
                              - +
                              Last update: Sun, 06 Sep 2015 21:40:58 +0200
                              +