name "basic_2_src" table { class "gray" [ { "component" * } { [ { "plane" * } { [ "files" * ] } ] } ] class "wine" [ { "examples" * } { [ { "terms with special features" * } { [ "ex_sta_ldec" + "ex_cpr_omega" + "ex_fpbg_refl" * ] } ] } ] 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_drop" "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_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_scpds" + "lsubsv_cpcs" + "lsubsv_snv" * ] } ] [ { "stratified native validity" * } { [ "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ] [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_scpes" + "snv_preserve" * ] } ] } ] class "blue" [ { "equivalence" * } { [ { "decomposed rt-equivalence" * } { [ "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ] } ] [ { "context-sensitive equivalence" * } { [ "cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )" "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ] } ] } ] class "sky" [ { "conversion" * } { [ { "context-sensitive conversion" * } { [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ] } ] } ] class "cyan" [ { "computation" * } { [ { "evaluation for context-sensitive rt-reduction" * } { [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ] } ] [ { "evaluation for context-sensitive reduction" * } { [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ] } ] [ { "strongly normalizing qrst-computation" * } { [ "fsb ( ⦥[?,?] ⦃?,?,?⦄ )" "fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )" "fsb_aaa" + "fsb_csx" * ] } ] [ { "strongly normalizing rt-computation" * } { [ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ] [ "lsx ( ? ⊢ ⬊*[?,?,?,?] ? )" "lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )" "lsx_drop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ] [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tsts_vector" + "csx_aaa" * ] [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ] } ] [ { "parallel qrst-computation" * } { [ "fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbs" + "fpbg_fpbg" * ] [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpb" + "fpbs_fpbs" * ] } ] [ { "decomposed rt-computation" * } { [ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ] } ] [ { "context-sensitive rt-computation" * } { [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ] [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tsts" + "cpxs_tsts_vector" + "cpxs_leq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ] } ] [ { "context-sensitive computation" * } { [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ] [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ] } ] [ { "local env. ref. for generic reducibility" * } { [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drop" + "lsubc_drops" + "lsubc_lsuba" * ] } ] [ { "support for generic computation properties" * } { [ "gcp" "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ] } ] } ] class "water" [ { "reduction" * } { [ { "parallel qrst-reduction" * } { [ "fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )" "fpbq_lift" + "fpbq_aaa" * ] [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_lleq" + "fpb_fleq" * ] } ] [ { "normal forms for context-sensitive rt-reduction" * } { [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ] } ] [ { "context-sensitive rt-reduction" * } { [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_drop" + "lpx_frees" + "lpx_lleq" + "lpx_aaa" * ] [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_leq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ] } ] [ { "irreducible forms for context-sensitive rt-reduction" * } { [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ] } ] [ { "reducible forms for context-sensitive rt-reduction" * } { [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ] } ] [ { "normal forms for context-sensitive reduction" * } { [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ] } ] [ { "context-sensitive reduction" * } { [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_drop" + "lpr_lpr" * ] [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_llpx_sn" + "cpr_cir" * ] } ] [ { "irreducible forms for context-sensitive reduction" * } { [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ] } ] [ { "reducible forms for context-sensitive reduction" * } { [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ] } ] } ] class "green" [ { "unfold" * } { [ { "unfold" * } { [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ] } ] [ { "iterated static type assignment" * } { [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ] } ] } ] class "grass" [ { "static typing" * } { [ { "local env. ref. for degree assignment" * } { [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ] } ] [ { "degree assignment" * } { [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ] } ] [ { "parameters" * } { [ "sh" "sd" * ] } ] [ { "local env. ref. for atomic arity assignment" * } { [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_aaa" + "lsuba_lsuba" * ] } ] [ { "atomic arity assignment" * } { [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_lleq" + "aaa_aaa" * ] } ] [ { "restricted local env. ref." * } { [ "lsubr ( ? ⫃ ? )" "lsubr_lsubr" * ] } ] } ] class "yellow" [ { "multiple substitution" * } { [ { "lazy equivalence" * } { [ "fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )" "fleq_fleq" * ] [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_leq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ] } ] [ { "lazy pointwise extension of a relation" * } { [ "llpx_sn" "llpx_sn_alt" + "llpx_sn_alt_rec" + "llpx_sn_tc" + "llpx_sn_leq" + "llpx_sn_drop" + "llpx_sn_lpx_sn" + "llpx_sn_frees" + "llpx_sn_llor" * ] } ] [ { "pointwise union for local environments" * } { [ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ] } ] [ { "context-sensitive exclusion from free variables" * } { [ "frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )" "frees_append" + "frees_leq" + "frees_lift" * ] } ] [ { "contxt-sensitive multiple rt-substitution" * } { [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ] } ] [ { "iterated structural successor for closures" * } { [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ] [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_fqup" * ] } ] [ { "iterated local env. slicing" * } { [ "drops ( ⬇*[?,?] ? ≡ ? )" "drops_drop" + "drops_drops" * ] } ] [ { "generic term relocation" * } { [ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lift_vector" * ] [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ] } ] [ { "support for multiple relocation" * } { [ "mr2 ( @⦃?,?⦄ ≡ ? )" "mr2_plus ( ? + ? )" "mr2_minus ( ? ▭ ? ≡ ? )" "mr2_mr2" * ] } ] } ] class "orange" [ { "substitution" * } { [ { "structural successor for closures" * } { [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )" * ] [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" * ] } ] [ { "global env. slicing" * } { [ "gget ( ⬇[?] ? ≡ ? )" "gget_gget" * ] } ] [ { "contxt-sensitive ordinary rt-substitution" * } { [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ] } ] [ { "local env. ref. for rt-substitution" * } { [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ] } ] [ { "pointwise extension of a relation" * } { [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ] } ] [ { "basic local env. slicing" * } { [ "drop ( ⬇[?,?,?] ? ≡ ? )" "drop_append" + "drop_leq" + "drop_drop" * ] } ] [ { "basic term relocation" * } { [ "lift_vector ( ⬆[?,?] ? ≡ ? )" "lift_lift_vector" * ] [ "lift ( ⬆[?,?] ? ≡ ? )" "lift_neq" + "lift_lift" * ] } ] } ] class "red" [ { "grammar" * } { [ { "equivalence for local environments" * } { [ "leq ( ? ⩬[?,?] ? )" "leq_leq" * ] } ] [ { "same top term structure" * } { [ "tsts ( ? ≂ ? )" "tsts_tsts" + "tsts_vector" * ] } ] [ { "closures" * } { [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ] } ] [ { "internal syntax" * } { [ "genv" * ] [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ] [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector ( Ⓐ?.? )" * ] [ "item" * ] } ] [ { "external syntax" * } { [ "aarity" * ] } ] } ] } class "top" { * } class "capitalize italic" { 0 } class "italic" { 1 }