name "basic_2_src" table { class "grey" [ { "component" * } { [ { "plane" * } { [ "files" * ] } ] } ] (* class "wine" [ { "examples" * } { [ { "" * } { [ "" * ] } ] } ] class "magenta" [ { "higher order dynamic typing" * } { [ { "higher order native type assignment" * } { [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ] } ] } ] *) class "prune" [ { "dynamic typing" * } { (* [ { "local env. ref. for native type assignment" * } { [ "lsubn ( ? ⊢ ? :⊑ ? )" "lsubn_ldrop" "lsubn_cpcs" "lsubn_nta" * ] } ] [ { "native type assignment" * } { [ "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ] } ] *) [ { "local env. ref. for stratified native validity" * } { [ "lsubsv ( ? ⊢ ? ¡⊑[?,?] ? )" "lsubsv_ldrop" + "lsubsv_lsubd" + "lsubsv_lsuba" + "lsubsv_lsstas" + "lsubsv_cpds" + "lsubsv_cpcs" + "lsubsv_snv" * ] } ] [ { "stratified native validity" * } { [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_da_lpr" + "snv_aaa" + "snv_lsstas" + "snv_lsstas_lpr" + "snv_lpr" + "snv_cpcs" * ] } ] } ] class "blue" [ { "equivalence" * } { [ { "decomposed extended equivalence" * } { [ "cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )" "cpes_cpds" * ] } ] [ { "context-sensitive equivalence" * } { [ "cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )" "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ] } ] } ] class "sky" [ { "conversion" * } { [ { "context-sensitive conversion" * } { [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ] } ] } ] class "cyan" [ { "computation" * } { [ { "context-sensitive extended evaluation" * } { [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ] } ] [ { "context-sensitive evaluation" * } { [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ] } ] [ { "strongly normalizing \"big tree\" computation" * } { [ "fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )" "fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )" "fsb_aaa" + "fsb_csx" * ] } ] [ { "strongly normalizing extended computation" * } { [ "lsx ( ? ⊢ ⬊*[?,?,?] ? )" "lsx_cpxs" + "lsx_csx" * ] [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tstc_vector" + "csx_aaa" * ] [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lpx" + "csx_fpbs" * ] } ] [ { "\"big tree\" parallel computation" * } { [ "fpbg ( ⦃?,?,?⦄ >⋕[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fpns" + "fpbg_fpbg" * ] [ "fpbc ( ⦃?,?,?⦄ ≻⋕[?,?] ⦃?,?,?⦄ )" "fpbc_fpns" + "fpbc_fpbs" * ] [ "fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbu_lift" + "fpbu_fpns" * ] [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpns" + "fpbs_fpbs" * ] } ] [ { "parallel computation for \"big tree\" normal forms" * } { [ "fpns ( ⦃?,?,?⦄ ⊢ ⋕➡*[?,?] ⦃?,?,?⦄ )" "fpns_fpns" * ] } ] [ { "decomposed extended computation" * } { [ "cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )" "cpds_lift" + "cpds_aaa" + "cpds_cpds" * ] } ] [ { "context-sensitive extended computation" * } { [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )" "lpxs_ldrop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ] [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ] } ] [ { "context-sensitive computation" * } { [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_alt ( ⦃?,?⦄ ⊢ ➡➡* ? )" "lprs_ldrop" + "lprs_cprs" + "lprs_lprs" * ] [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ] } ] [ { "local env. ref. for abstract candidates of reducibility" * } { [ "lsubc ( ? ⊢ ? ⊑[?] ? )" "lsubc_ldrop" + "lsubc_ldrops" + "lsubc_lsuba" * ] } ] [ { "support for abstract computation properties" * } { [ "acp" "acp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ] } ] } ] class "water" [ { "reduction" * } { [ { "\"big tree\" parallel reduction" * } { [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_aaa" * ] } ] [ { "context-sensitive extended normal forms" * } { [ "cnx ( ⦃?,?⦄ ⊢ 𝐍[?,?]⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ] } ] [ { "context-sensitive extended reduction" * } { [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_leq" + "lpx_ldrop" + "lpx_lleq" + "lpx_aaa" * ] [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_leq" + "cpx_lift" + "cpx_cix" * ] } ] [ { "context-sensitive extended irreducible forms" * } { [ "cix ( ⦃?,?⦄ ⊢ 𝐈[?,?]⦃?⦄ )" "cix_append" + "cix_lift" * ] } ] [ { "context-sensitive extended reducible forms" * } { [ "crx ( ⦃?,?⦄ ⊢ 𝐑[?,?]⦃?⦄ )" "crx_append" + "crx_lift" * ] } ] [ { "context-sensitive normal forms" * } { [ "cnr ( ⦃?,?⦄ ⊢ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ] } ] [ { "context-sensitive reduction" * } { [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_ldrop" + "lpr_lpr" * ] [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_cir" * ] } ] [ { "context-sensitive irreducible forms" * } { [ "cir ( ⦃?,?⦄ ⊢ 𝐈⦃?⦄ )" "cir_append" + "cir_lift" * ] } ] [ { "context-sensitive reducible forms" * } { [ "crr ( ⦃?,?⦄ ⊢ 𝐑⦃?⦄ )" "crr_append" + "crr_lift" * ] } ] } ] class "green" [ { "unfold" * } { [ { "unfold" * } { [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ] } ] [ { "iterated static type assignment" * } { [ "lsstas ( ⦃?,?⦄ ⊢ ? •*[?,?,?] ? )" "lsstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?,?] ? )" "lsstas_lift" + "lsstas_aaa" + "lsstas_lsstas" * ] } ] } ] class "grass" [ { "static typing" * } { [ { "local env. ref. for atomic arity assignment" * } { [ "lsuba ( ? ⊢ ? ⁝⊑ ? )" "lsuba_ldrop" + "lsuba_aaa" + "lsuba_lsuba" * ] } ] [ { "atomic arity assignment" * } { [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_da" + "aaa_ssta" + "aaa_aaa" * ] } ] [ { "stratified static type assignment" * } { [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_ssta" * ] } ] [ { "local env. ref. for degree assignment" * } { [ "lsubd ( ? ⊢ ? ▪⊑ ? )" "lsubd_da" + "lsubd_lsubd" * ] } ] [ { "degree assignment" * } { [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_da" * ] } ] [ { "parameters" * } { [ "sh" "sd" * ] } ] } ] class "yellow" [ { "substitution" * } { [ { "lazy equivalence for local environments" * } { [ "lleq ( ? ⋕[?,?] ? )" "lleq_alt ( ? ⋕⋕[?,?] ? )" "lleq_ldrop" + "lleq_lleq" * ] } ] [ { "contxt-sensitive extended multiple substitution" * } { [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*×[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*×[?,?] ? )" "cpys_lift" + "cpys_cpys" * ] } ] [ { "iterated structural successor for closures" * } { [ "fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_lleq" + "fqus_fqus" * ] [ "fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )" "fqup_lleq" + "fqup_fqup" * ] } ] [ { "generic local env. slicing" * } { [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ] } ] [ { "generic term relocation" * } { [ "lifts_vector ( ⇧*[?] ? ≡ ? )" "lifts_lift_vector" * ] [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ] } ] [ { "support for generic relocation" * } { [ "gr2 ( @⦃?,?⦄ ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ] } ] } ] class "orange" [ { "relocation" * } { [ { "contxt-sensitive extended ordinary substitution" * } { [ "cpy ( ⦃?,?⦄ ⊢ ? ▶×[?,?] ? )" "cpy_lift" + "cpy_cpy" * ] } ] [ { "local env. ref. for extended substitution" * } { [ "lsuby ( ? ⊑×[?,?] ? )" "lsuby_lsuby" * ] } ] [ { "restricted local env. ref." * } { [ "lsubr ( ? ⊑ ? )" "lsubr_lsubr" * ] } ] [ { "structural successor for closures" * } { [ "fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" "fquq_lleq" * ] [ "fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" "fqu_lleq" * ] } ] [ { "global env. slicing" * } { [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ] } ] [ { "basic local env. slicing" * } { [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx_sn" + "ldrop_leq" + "ldrop_ldrop" * ] } ] [ { "basic term relocation" * } { [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ] [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_lift" * ] } ] } ] class "red" [ { "grammar" * } { [ { "equivalence for local environments" * } { [ "leq ( ? ≃[?,?] ? )" * ] } ] [ { "pointwise extension of a relation" * } { [ "lpx_sn" "lpx_sn_tc" + "lpx_sn_lpx_sn" * ] } ] [ { "same top term constructor" * } { [ "tstc ( ? ≃ ? )" "tstc_tstc" + "tstc_vector" * ] } ] [ { "closures" * } { [ "cl_shift ( ? @@ ? )" "cl_weight ( ♯{?,?,?} )" * ] } ] [ { "internal syntax" * } { [ "genv" * ] [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ] [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ] [ "item" * ] } ] [ { "external syntax" * } { [ "aarity" * ] } ] } ] } class "component" { 0 } class "plane" { 1 } class "file" { 2 * }