X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fwww%2Flambdadelta%2Fbasic_2.html;h=374c3a7db77cd311b68881174df388362bc7e6ad;hb=b7de6afb9d3260ffea86ddf824e497419e1b56fb;hp=e3665cc8edb2f2f54d976049b1316781e65d9140;hpb=25577a78cccba09974c91fcbfea770091a413382;p=helm.git diff --git a/helm/www/lambdadelta/basic_2.html b/helm/www/lambdadelta/basic_2.html index e3665cc8e..374c3a7db 100644 --- a/helm/www/lambdadelta/basic_2.html +++ b/helm/www/lambdadelta/basic_2.html @@ -16,14 +16,14 @@
- [lambdadelta home] + [\lambda\delta home]
cic:/matita/lambdadelta/basic_2/ (core λδ version 2)
- [Spacer] + [Spacer]
-
+

@@ -31,73 +31,95 @@ - home + home news + + specification + + +
+ + +
+ documentation - specification + implementation - +
- - implementation - - foreword + foreword milestones + + version 2 + + (background - core - applications) + +
+ version 2 - version 2 + helena - (background - core - applications) - - library + + Open Symbolic Notation (OSN) - citations + citations visibility + + version 1 + + (background - core) + (static HELM directory) version 1 - version 1 - - -
- - - helena + library + (static LDDL directory)
- - -
Summary of the Specification [spacer] + +
Summary of the Specification [butterfly]
-
Here is a numerical acount of the specification's contents +
Here is a numerical account of the specification's contents and its timeline.
-
+
@@ -122,107 +144,173 @@ - + - + - + - + - + - + - + - + - +
sizes files360212 characters433402213959 nodes18747741057531
propositions theorems13062 lemmas1286741 total1416803
concepts declared5431 defined8978 total143109
- -
Stage "B"
-
    +
    Stage "B"
    +
    • Ongoing. Context-sensitive subject equivalence for native type assignment.
    - -
    Stage "A": "Extending the Applicability Condition"
    -
      +
      Stage "A2": "Extending the Applicability Condition"
      +
        +
      • + 2017 October 17. + Exclusion binder in local environments. + Syntactic component updated: + syntax, relocation, s_transition, s_computation, static, i_static. +
      • +
      +
        +
      • + 2017 April 16. + Strong rt-normalization + for simply typed terms + (anniversary milestone). +
      • +
      +
        +
      • + 2017 March 16. + First behavioral component reconstructed: + rt_transition. +
      • +
      +
        +
      • + 2017 February 19. + Generic candidates of reducibility. +
      • +
      +
        +
      • + 2017 January 17. + Confluence for parallel r-transition on referred entries of local environments. +
      • +
      +
        +
      • + 2016 September 15. + Confluence for context-sensitive parallel r-transition on terms. +
      • +
      +
        +
      • + 2016 April 16. + Syntactic component reconstructed: + syntax, relocation, s_transition, s_computation, static + (anniversary milestone). +
      • +
      +
        +
      • + 2016 March 25. + Relocation with reference transforming maps (rtmap). +
      • +
      +
        +
      • + 2015 October 9. + λδ version 2A2 is started. +
      • +
      +
      Stage "A1": "Extending the Applicability Condition"
      +
        +
      • + 2015 August 27. + λδ version 2A1 appears too complex and is dismissed. +
      • +
      +
      • 2014 October 28. - λδ version 2A is released. + λδ version 2A1 is released.
      -
        +
        • 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.
            -
              +
              • 2014 April 16. Lazy equivalence on local environments - addded as q-step to rst-computation on closures + added as q-step to rst-computation on closures (anniversary milestone).
              -
                +
                • 2014 January 20. - Parametrized slicing of local environments + Parametrized slicing on 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 rt-reduction.
                    -
                      +
                      • 2013 July 20. Context-sensitive strong rt-normalization for simply typed terms.
                      -
                        +
                        • 2013 April 16. Reaxiomatized substitution and reduction @@ -230,26 +318,26 @@ (anniversary milestone).
                        -
                          +
                          • 2013 March 16. Mutual recursive preservation of stratified native validity for rst-computation on closures.
                          -
                            +
                            • 2012 October 16. Confluence for context-free parallel reduction on closures.
                            -
                              +
                              • 2012 July 26. Term binders polarized to control ζ-reduction (not released).
                              -
                                +
                                • 2012 April 16. Context-sensitive subject equivalence @@ -257,1091 +345,481 @@ (anniversary milestone).
                                -
                                  +
                                  • 2012 March 15. Context-sensitive strong normalization for simply typed terms.
                                  -
                                    +
                                    • 2012 January 27. - Support for abstract candidates of reducibility. + Generic candidates of reducibility.
                                    -
                                      +
                                      • 2011 September 21. Confluence for context-sensitive parallel reduction on terms.
                                      -
                                        +
                                        • 2011 September 6. Confluence for context-free parallel reduction on terms.
                                        -
                                          +
                                          • 2011 April 17. - Specification starts. + λδ version 2 is started.
                                          - -
                                          Logical Structure of the Specification [spacer] +
                                          Logical Structure of the Specification [butterfly]
                                          -
                                          This table reports the specification's components and their planes. +
                                          This table reports the specification's components and their planes.
                                          -
                                          +
                                          - - - - - - - - + + + + - - - + + + + - - - - - - + + + + - - - - - - + + - - - - - - + - - - - - - + + + - - - - - - + + - - - - - - + + + - - - - - - + + - - - - - - + + + - - - - - - + + + - - - - - - + + - - - - - - + + + - - - - - - + + + + - - - - - - + + - - - - - - + + + + - - - - - - + + - - - - - - + + + - - - - - - + + - - - - - - + + + - - - - - - + + - - - - - - + + - - - - - - + + + - - - - - - + + + - - - - - - + + + + + + + + + - - + + - - - + + - + + - - - - - - + + - - - - - - + - - - - - - + + - - - - - - + + - - - - - - + - - - - - - + - - - - - - + - - - - - + + + + + - + + - - - - - - + + - - - - - - + - - - - - - + - - - - - - + - - - - - - + + - - - - - - + - - - - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + +
                                          component plane files -
                                          -
                                          -
                                          -

                                          examplesterms with special featuresex_sta_ldec ex_cpr_omega ex_fpbg_refl ex_snv_eta -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          rt-transitioncounted context-sensitive rt-transitioncpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )cpg_simple cpg_drops cpg_lsubr
                                          - - - -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          iterated static typingiterated extension on referred entriestc_lfxs ( ? ⦻**[?,?] ? )tc_lfxs_length tc_lfxs_drops tc_lfxs_fqup tc_lfxs_tc_lfxs
                                          dynamic typinglocal env. ref. for stratified native validitylsubsv ( ? ⊢ ? ⫃¡[?,?] ? )lsubsv_lsuba lsubsv_lsubd lsubsv_lstas lsubsv_scpds lsubsv_cpcs lsubsv_snv -
                                          -
                                          -
                                          -
                                          static typinggeneric reducibilitylsubc ( ? ⊢ ? ⫃[?] ? )lsubc_drops lsubc_lsubr lsubc_lsuba
                                          -
                                          -
                                          stratified native validityshnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] ) -
                                          -
                                          +
                                          +
                                          gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )gcp_aaa
                                          -
                                          -
                                          +
                                          snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )snv_lift snv_aaa snv_da_lpr snv_lstas snv_lstas_lpr snv_lpr snv_fsb snv_scpes snv_preserve +
                                          + gcp
                                          equivalencedecomposed rt-equivalencescpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )scpes_aaa scpes_cpcs scpes_scpes -
                                          -
                                          +
                                          atomic arity assignmentlsuba ( ? ⊢ ? ⫃⁝ ? )lsuba_drops lsuba_lsubr lsuba_aaa lsuba_lsuba
                                          -
                                          -
                                          context-sensitive equivalencecpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )cpcs_aaa cpcs_cprs cpcs_cpcs +
                                          +
                                          aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )aaa_drops aaa_fqus aaa_lfdeq aaa_aaa
                                          conversioncontext-sensitive conversioncpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )cpc_cpc -
                                          -
                                          +
                                          degree-based equivalence on referred entriesffdeq ( ⦃?,?,?⦄ ≡[?,?] ⦃?,?,?⦄ )ffdeq_fqup ffdeq_ffdeq
                                          computationevaluation for context-sensitive rt-reductioncpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ ) -
                                          -
                                          +
                                          +
                                          lfdeq ( ? ≡[?,?,?] ? )lfdeq_length lfdeq_drops lfdeq_fqup lfdeq_fqus lfdeq_lfdeq
                                          -
                                          -
                                          evaluation for context-sensitive reductioncpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )cpre_cpre -
                                          -
                                          +
                                          generic extension on referred entrieslfxs ( ? ⦻*[?,?] ? )lfxs_length lfxs_drops lfxs_fqup lfxs_lfxs
                                          -
                                          -
                                          strongly normalizing qrst-computationfsb ( ⦥[?,?] ⦃?,?,?⦄ )fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )fsb_aaa fsb_csx +
                                          context-sensitive free variableslsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )lsubf_lsubr lsubf_frees lsubf_lsubf
                                          -
                                          -
                                          strongly normalizing rt-computationlcosx ( ? ⊢ ~⬊*[?,?,?] ? )lcosx_cpx +
                                          +
                                          frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )frees_drops frees_fqup frees_frees
                                          -
                                          -
                                          -
                                          -
                                          lsx ( ? ⊢ ⬊*[?,?,?,?] ? )lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )lsx_drop lsx_lpx lsx_lpxs llsx_csx +
                                          restricted ref. for local env.lsubr ( ? ⫃ ? )lsubr_length lsubr_drops lsubr_lsubr
                                          -
                                          -
                                          -
                                          -
                                          csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )csx_tsts_vector csx_aaa -
                                          -
                                          -
                                          -
                                          s-computationiterated structural successor for closuresfqus ( ⦃?,?,?⦄ ⊐*[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )fqus_weight fqus_drops fqus_fqup fqus_fqus
                                          -
                                          -
                                          +
                                          csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )csx_lift csx_lleq csx_lpx csx_lpxs csx_fpbs +
                                          fqup ( ⦃?,?,?⦄ ⊐+[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )fqup_weight fqup_drops fqup_fqup
                                          -
                                          -
                                          parallel qrst-computationfpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )fpbg_lift fpbg_fleq fpbg_fpbs fpbg_fpbg -
                                          -
                                          -
                                          -
                                          s-transitionstructural successor for closuresfquq ( ⦃?,?,?⦄ ⊐⸮[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )fquq_length fquq_weight
                                          -
                                          -
                                          +
                                          fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )fpbs_lift fpbs_aaa fpbs_fpb fpbs_fpbs +
                                          fqu ( ⦃?,?,?⦄ ⊐[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )fqu_length fqu_weight
                                          -
                                          -
                                          decomposed rt-computationscpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )scpds_lift scpds_aaa scpds_scpds -
                                          -
                                          + relocationgeneric slicing for local environmentsdrops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )
                                          -
                                          -
                                          context-sensitive rt-computationlpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )lpxs_drop lpxs_lleq lpxs_aaa lpxs_cpxs lpxs_lpxs +
                                          +
                                          drops ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )drops_lstar drops_weight drops_length drops_ext2 drops_lexs drops_lreq drops_drops
                                          -
                                          -
                                          -
                                          -
                                          cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )cpxs_tsts cpxs_tsts_vector cpxs_lreq cpxs_lift cpxs_lleq cpxs_aaa cpxs_cpxs -
                                          -
                                          +
                                          generic relocationlifts_bind ( ⬆*[?] ? ≡ ? )lifts_weight_bind lifts_lifts_bind
                                          -
                                          -
                                          context-sensitive computationlprs ( ⦃?,?⦄ ⊢ ➡* ? )lprs_drop lprs_cprs lprs_lprs +
                                          +
                                          lifts_vector ( ⬆*[?] ? ≡ ? )lifts_lifts_vector
                                          -
                                          -
                                          -
                                          -
                                          cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)cprs_lift cprs_cprs +
                                          +
                                          lifts ( ⬆*[?] ? ≡ ? )lifts_simple lifts_weight lifts_tdeq lifts_lifts
                                          -
                                          -
                                          local env. ref. for generic reducibilitylsubc ( ? ⊢ ? ⫃[?] ? )lsubc_drop lsubc_drops lsubc_lsuba -
                                          -
                                          +
                                          ranged equivalence for local environmentslreq ( ? ≡[?] ? )lreq_length lreq_lreq
                                          -
                                          -
                                          support for generic computation propertiesgcpgcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )gcp_aaa +
                                          generic entrywise extensionlexs ( ? ⦻*[?,?,?] ? )lexs_length lexs_lexs
                                          reductionparallel qrst-reductionfpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )fpbq_lift fpbq_aaa + syntaxappend for local environmentsappend ( ? @@ ? )append_length

                                          head equivalence for termstheq ( ? ⩳[?,?] ? )theq_simple theq_tdeq theq_theq theq_simple_vector
                                          +
                                          + degree-based equivalencetdeq_ext ( ? ≡[?,?] ? )
                                          fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )fpb_lift fpb_lleq fpb_fleq +

                                          +
                                          tdeq ( ? ≡[?,?] ? )tdeq_tdeq
                                          -
                                          -
                                          normal forms for context-sensitive rt-reductioncnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )cnx_lift cnx_crx cnx_cix +
                                          + closurescl_weight ( ♯{?,?,?} )
                                          +
                                          context-sensitive rt-reductionlpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )lpx_drop lpx_frees lpx_lleq lpx_aaa +
                                          + cl_restricted_weight ( ♯{?,?} )
                                          -
                                          -
                                          -
                                          -
                                          cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )cpx_lreq cpx_lift cpx_llpx_sn cpx_lleq cpx_cix +
                                          + global environmentsgenv
                                          -
                                          -
                                          irreducible forms for context-sensitive rt-reductioncix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )cix_lift +
                                          + local environmentslenv_ext2
                                          +
                                          reducible forms for context-sensitive rt-reductioncrx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )crx_lift +
                                          + lenv_length ( |?| )
                                          +
                                          normal forms for context-sensitive reductioncnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )cnr_lift cnr_crr cnr_cir +
                                          + lenv_weight ( ♯{?} )
                                          +
                                          context-sensitive reductionlpr ( ⦃?,?⦄ ⊢ ➡ ? )lpr_drop lpr_lpr +
                                          + lenv
                                          -
                                          -
                                          +
                                          cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )cpr_lift cpr_llpx_sn cpr_cir + binders for local environmentsext2ext2_ext2

                                          +
                                          bindbind_weight
                                          -
                                          -
                                          irreducible forms for context-sensitive reductioncir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )cir_lift +
                                          + termsterm_vector ( Ⓐ?.? )
                                          +
                                          reducible forms for context-sensitive reductioncrr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )crr_lift +
                                          + term_simple ( 𝐒⦃?⦄ )
                                          unfoldunfoldunfold ( ⦃?,?⦄ ⊢ ? ⧫* ? ) +
                                          +
                                          + term_weight ( ♯{?} )
                                          +
                                          iterated static type assignmentlstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )lstas_lift lstas_llpx_sn.ma lstas_aaa lstas_da lstas_lstas +
                                          + term
                                          static typinglocal env. ref. for degree assignmentlsubd ( ? ⊢ ? ⫃▪[?,?] ? )lsubd_da lsubd_lsubd +
                                          + itemsitem_sd
                                          +
                                          degree assignmentda ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )da_lift da_aaa da_da +
                                          + item_sh
                                          +
                                          parametersshsd +
                                          + item
                                          -
                                          -
                                          local env. ref. for atomic arity assignmentlsuba ( ? ⊢ ? ⫃⁝ ? )lsuba_aaa lsuba_lsuba +
                                          -
                                          -
                                          -
                                          -
                                          atomic arity assignmentaaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )aaa_lift aaa_lifts aaa_fqus aaa_lleq aaa_aaa -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          restricted local env. ref.lsubr ( ? ⫃ ? )lsubr_lsubr -
                                          -
                                          -
                                          -
                                          multiple substitutionlazy equivalencefleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )fleq_fleq -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          lleq ( ? ≡[?,?] ? )lleq_alt lleq_alt_rec lleq_lreq lleq_drop lleq_fqus lleq_llor lleq_lleq -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          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 -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          pointwise union for local environmentsllor ( ? ⋓[?,?] ? ≡ ? )llor_alt llor_drop -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          context-sensitive exclusion from free variablesfrees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )frees_append frees_lreq frees_lift -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          contxt-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 -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          generic term relocationlifts_vector ( ⬆*[?] ? ≡ ? )lifts_lift_vector -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          lifts ( ⬆*[?] ? ≡ ? )lifts_lift lifts_lifts -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          support for multiple relocationmr2 ( @⦃?,?⦄ ≡ ? )mr2_plus ( ? + ? )mr2_minus ( ? ▭ ? ≡ ? )mr2_mr2
                                          substitutionstructural successor for closuresfquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ ) -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ ) -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          global env. slicinggget ( ⬇[?] ? ≡ ? )gget_gget -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          contxt-sensitive ordinary rt-substitutioncpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )cpy_lift cpy_nlift cpy_cpy -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          local env. ref. for rt-substitutionlsuby ( ? ⊆[?,?] ? )lsuby_lsuby -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          pointwise extension of a relationlpx_snlpx_sn_alt lpx_sn_tc lpx_sn_drop lpx_sn_lpx_sn -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          basic local env. slicingdrop ( ⬇[?,?,?] ? ≡ ? )drop_append drop_lreq drop_drop -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          basic term relocationlift_vector ( ⬆[?,?] ? ≡ ? )lift_lift_vector -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          lift ( ⬆[?,?] ? ≡ ? )lift_neq lift_lift -
                                          -
                                          -
                                          -
                                          grammarequivalence for local environmentslreq ( ? ⩬[?,?] ? )lreq_lreq -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          same top term structuretsts ( ? ≂ ? )tsts_tsts tsts_vector -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          closurescl_weight ( ♯{?,?,?} )cl_restricted_weight ( ♯{?,?} ) -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          internal syntaxgenv -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          lenvlenv_weight ( ♯{?} )lenv_length ( |?| )lenv_append ( ? @@ ? )
                                          -
                                          -
                                          -
                                          -
                                          termterm_weight ( ♯{?} )term_simple ( 𝐒⦃?⦄ )term_vector ( Ⓐ?.? )
                                          -
                                          -
                                          -
                                          -
                                          item -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          -
                                          external syntaxaarity -
                                          -
                                          -
                                          -
                                          + atomic aritiesaarity
                                          - -
                                          - [Spacer] +
                                          + [Spacer]

                                          @@ -1366,6 +844,6 @@

                                          -
                                          Last update: Tue, 28 Oct 2014 17:45:56 +0100
                                          - +
                                          Last update: Tue, 17 Oct 2017 20:34:24 +0200
                                          +