name "basic_2_src" table { class "grey" [ { "component" * } { [ { "plane" * } { [ "files" * ] } ] } ] (* class "wine" [ { "higher order dynamic typing" * } { [ { "higher order native type assignment" * } { [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ] } ] } ] *) class "magenta" [ { "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" * ] } ] *) [ { "\"big tree\" parallel computation" * } { [ "yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )" "yprs_yprs" "ygt ( ? ⊢ ⦃?,?⦄ >[g] ⦃?,?⦄ )" "ygt_ygt" * ] } ] [ { "\"big tree\" parallel reduction" * } { [ "ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )" "ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )" * ] } ] [ { "local env. ref. for stratified native validity" * } { [ "lsubsv ( ? ⊢ ? ¡⊑[?] ? )" "lsubsv_ldrop" + "lsubsv_lsuba" + "lsubsv_ssta" + "lsubsv_dxprs" + "lsubsv_cpcs" + "lsubsv_snv" * ] } ] [ { "stratified native validity" * } { [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?] )" "snv_lift" + "snv_ltpss_dx" + "snv_ltpss_sn" + "snv_aaa" + "snv_ssta" + "snv_sstas" + "snv_ssta_ltpr" + "snv_ltpr" + "snv_cpcs" * ] } ] } ] class "prune" [ { "equivalence" * } { [ { "focalized equivalence" * } { [ "lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )" "lfpcs_aaa" + "lfpcs_fpcs" + "lfpcs_lfprs" + "lfpcs_lfpcs" * ] [ "fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )" "fpcs_aaa" + "fpcs_cpcs" + "fpcs_fprs" + "fpcs_fpcs" * ] } ] [ { "local env. ref. for stratified static type assignment" * } { [ "lsubss ( ? •⊑[?] ? )" "lsubss_ldrop" + "lsubss_ssta" + "lsubss_cpcs" * ] } ] [ { "context-sensitive equivalence" * } { [ "cpcs ( ? ⊢ ? ⬌* ? )" "cpcs_ltpss_dx" + "cpcs_ltpss_sn" + "cpcs_delift" + "cpcs_aaa" + "cpcs_ltpr" + "cpcs_cprs" + "cpcs_cpcs" * ] } ] } ] class "blue" [ { "conversion" * } { [ { "focalized conversion" * } { [ "lfpc ( ⦃?⦄ ⬌ ⦃?⦄ )" "lfpc_lfpc" * ] [ "fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )" "fpc_fpc" * ] } ] [ { "context-sensitive conversion" * } { [ "cpc ( ? ⊢ ? ⬌ ? )" "cpc_cpc" * ] } ] } ] class "sky" [ { "computation" * } { [ { "focalized computation" * } { [ "lfprs ( ⦃?⦄ ➡* ⦃?⦄ )" "lfprs_aaa" + "lfprs_ltprs" + "lfprs_cprs" + "lfprs_fprs" + "lfprs_lfprs" * ] [ "fprs ( ⦃?,?⦄ ➡* ⦃?,?⦄ )" "fprs_aaa" + "fprs_fprs" * ] } ] [ { "decomposed extended computation" * } { [ "dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )" "dxprs_lift" + "dxprs_ltpss_dx" + "dxprs_ltpss_sn" + "dxprs_aaa" + "dxprs_dxprs" * ] } ] [ { "weakly normalizing computation" * } { [ "cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )" "cpe_cpe" * ] } ] [ { "strongly normalizing computation" * } { [ "csn_vector ( ? ⊢ ⬊* ? )" "csn_cpr_vector" + "csn_tstc_vector" + "csn_aaa" * ] [ "csn ( ? ⊢ ⬊* ? )" "csn_alt ( ? ⊢ ⬊⬊* ? )" "csn_lift" + "csn_cpr" + "csn_lfpr" * ] } ] [ { "context-sensitive computation" * } { [ "cprs (? ⊢ ? ➡* ?)" "cprs_lift" + "cprs_tpss" + "cprs_ltpss_dx" + "cprs_ltpss_sn" + "cprs_delift" + "cprs_aaa" + "cprs_ltpr" + "cprs_lfpr" + "cprs_cprs" + "cprs_lfprs" + "cprs_tstc" + "cprs_tstc_vector" * ] } ] [ { "context-free computation" * } { [ "ltprs ( ? ➡* ? )" "ltprs_alt ( ? ➡➡* ? )" "ltprs_ldrop" + "ltprs_ltprs" * ] [ "tprs ( ? ➡* ?)" "tprs_lift" + "tprs_tprs" * ] } ] [ { "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 "cyan" [ { "reducibility" * } { [ { "context-sensitive focalized reduction" * } { [ "cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )" "cnfpr_ltpss" + "cfpr_aaa" + "cfpr_cpr" + "cfpr_cfpr" * ] } ] [ { "context-free focalized reduction" * } { [ "lfpr ( ⦃?⦄ ➡ ⦃?⦄ )" "lfpr_alt ( ⦃?⦄ ➡➡ ⦃?⦄ )" "lfpr_aaa" + "lfpr_cpr" + "lfpr_fpr" + "lfpr_lfpr" * ] [ "fpr ( ⦃?,?⦄ ➡ ⦃?,?⦄ )" "fpr_cpr" + "fpr_fpr" * ] } ] [ { "context-sensitive normal forms" * } { [ "cnf ( ? ⊢ 𝐍⦃?⦄ )" "cnf_lift" + "cnf_cif" * ] } ] [ { "revised context-sensitive reduction" * } { [ "lpr ( ? ⊢ ➡ ? )" "lpr_ldrop" + "lpr_cpr" + "lpr_lpr" * ] [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" * ] } ] [ { "context-sensitive reduction" * } { [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" + "cpr_tpss" + "cpr_ltpss_dx" + "cpr_ltpss_sn" + "cpr_delift" + "cpr_aaa" + "cpr_ltpr" + "cpr_cpr" * ] } ] [ { "context-sensitive reducible forms" * } { [ "crf ( ? ⊢ 𝐑⦃?⦄ )" "crf_append" "cif ( ? ⊢ 𝐈⦃?⦄ )" "cif_append" * ] } ] [ { "context-free normal forms" * } { [ "thnf ( 𝐇𝐍⦃?⦄ )" * ] } ] [ { "context-free reduction" * } { [ "ltpr ( ? ➡ ? )" "ltpr_ldrop" + "ltpr_tps" + "ltpr_tpss" + "ltpr_ltpss_dx" + "ltpr_ltpss_sn" + "ltpr_aaa" + "ltpr_ltpr" * ] [ "tpr ( ? ➡ ? )" "tpr_lift" + "tpr_delift" + "tpr_tpr" * ] } ] } ] class "water" [ { "restricted computation" * } { [ { "restricted parallel computation" * } { [ "lpqs ( ? ⊢ ➤* ? )" "lpqs_ldrop" + "lpqs_cpqs" + "lpqs_lpqs" * ] [ "cpqs ( ? ⊢ ? ➤* ? )" "cpqs_lift" * ] } ] } ] class "green" [ { "unwind" * } { [ { "iterated stratified static type assignment" * } { [ "sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )" "sstas_lift" + "sstas_lpss" + "sstas_aaa" + "sstas_sstas" * ] } ] } ] class "grass" [ { "static typing" * } { [ { "stratified static type assignment" * } { [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_lpss" + "ssta_aaa" + "ssta_ssta" * ] } ] [ { "local env. ref. for atomic arity assignment" * } { [ "lsuba ( ? ⁝⊑ ? )" "lsuba_ldrop" + "lsuba_aaa" + "lsuba_lsuba" * ] } ] [ { "atomic arity assignment" * } { [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_lpss" + "aaa_aaa" * ] } ] [ { "parameters" * } { [ "sh" "sd" * ] } ] } ] class "yellow" [ { "unfold" * } { (* [ { "basic local env. thinning" * } { [ "thin ( ? ▼*[?,?] ≡ ? )" "thin_ldrop" + "thin_delift" * ] } ] [ { "inverse basic term relocation" * } { [ "delift ( ? ⊢ ? ▼*[?,?] ≡ ? )" "delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )" "delift_lift" + "delift_tpss" + "delift_ltpss" + "delift_delift" * ] } ] *) [ { "parallel substitution" * } { [ "lpss ( ? ⊢ ▶* ? )" "lpss_ldrop" + "lpss_cpss" + "lpss_lpss" * ] [ "cpss ( ? ⊢ ? ▶* ? )" "cpss_lift" * ] } ] [ { "iterated structural successor for closures" * } { [ "fsups ( ⦃?,?⦄ ⊃* ⦃?,?⦄ )" "fsups_fsups" * ] [ "fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )" "fsupp_fsupp" * ] } ] [ { "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" [ { "substitution" * } { [ { "structural successor for closures" * } { [ "fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )" * ] } ] [ { "global env. slicing" * } { [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ] } ] [ { "basic local env. slicing" * } { [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx" + "ldrop_lpx_sn" + "ldrop_lbotr" + "ldrop_ldrop" * ] } ] [ { "local env. ref. for substitution" * } { [ "lsubr ( ? ⊑[?,?] ? )" "(lsubr_lsubr)" "lsubr_lbotr ( ⊒[?,?] ? )" * ] } ] [ { "basic term relocation" * } { [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ] [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_lift" * ] } ] } ] class "red" [ { "grammar" * } { [ { "same head term form" * } { [ "tshf ( ? ≈ ? )" "(tshf_tshf)" * ] } ] [ { "same top term constructor" * } { [ "tstc ( ? ≃ ? )" "tstc_tstc" + "tstc_vector" * ] } ] [ { "closures" * } { [ "cl_shift ( ? @@ ? )" "cl_weight ( ♯{?,?} )" * ] } ] [ { "internal syntax" * } { [ "genv" * ] [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" "lenv_px" + "lenv_px_sn" + "lenv_px_bi" * ] [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ] [ "item" * ] } ] [ { "external syntax" * } { [ "aarity" * ] } ] } ] } class "component" { 0 } class "plane" { 1 } class "file" { 2 * }