22 [ { "higher order dynamic typing" * } {
23 [ { "higher order native type assignment" * } {
24 [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
31 [ { "dynamic typing" * } {
33 [ { "local env. ref. for native type assignment" * } {
34 [ "lsubn ( ? ⊢ ? :⊑ ? )" "lsubn_ldrop" "lsubn_cpcs" "lsubn_nta" * ]
37 [ { "native type assignment" * } {
38 [ "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ]
42 [ { "stratified native validity" * } {
43 [ "snv ( ⦃?,?⦄ ⊩ ? :[?] )" "snv_lift" "snv_aaa" * ]
49 [ { "equivalence" * } {
50 [ { "context-sensitive equivalence" * } {
51 [ "lcpcs ( ? ⊢ ⬌* ? )" "lcpcs_aaa" "lcpcs_lcprs" "lcpcs_lcpcs" * ]
52 [ "cpcs ( ? ⊢ ? ⬌* ? )" "cpcs_ltpss" "cpcs_delift" "cpcs_ltpr" "cpcs_cprs" "cpcs_cpcs" * ]
58 [ { "conversion" * } {
59 [ { "context-sensitive conversion" * } {
60 [ "lcpc ( ? ⊢ ⬌ ? )" "lcpc_lcpc" * ]
61 [ "cpc ( ? ⊢ ? ⬌ ? )" "cpc_cpc" * ]
67 [ { "computation" * } {
68 [ { "extended computation" * } {
69 [ "xprs ( ⦃?,?⦄ ⊢ ? ➸*[?] ? )" "xprs_lift" "xprs_aaa" "xprs_cprs" * ]
72 [ { "weakly normalizing computation" * } {
73 [ "cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )" "cpe_cpe" * ]
76 [ { "strongly normalizing computation" * } {
77 [ "csn_vector ( ? ⊢ ⬊* ? )" "csn_cpr_vector" "csn_tstc_vector" "csn_aaa" * ]
78 [ "csn ( ? ⊢ ⬊* ? )" "csn_alt ( ? ⊢ ⬊⬊* ? )" "csn_lift" "csn_cpr" "csn_lcpr" * ]
81 [ { "context-sensitive computation" * } {
82 [ "lcprs ( ? ⊢ ➡* ? )" "lcprs_aaa" "lcprs_cprs" "lcprs_lcprs" * ]
83 [ "cprs (? ⊢ ? ➡* ?)" "cprs_lift" "cprs_delift" "cprs_ltpr" "cprs_lcpr" "cprs_cprs" "cprs_lcprs" "cprs_tstc" "cprs_tstc_vector" * ]
86 [ { "context-free computation" * } {
87 [ "ltprs ( ? ➡* ? )" "ltprs_alt ( ? ➡➡* ? )" "ltprs_ldrop" "ltprs_ltprs" * ]
88 [ "tprs ( ? ➡* ?)" "tprs_lift" "tprs_tprs" * ]
91 [ { "local env. ref. for abstract candidates of reducibility" * } {
92 [ "lsubc ( ? ⊑[?] ? )" "lsubc_ldrop" "lsubc_ldrops" "lsubc_lsuba" * ]
95 [ { "support for abstract computation properties" * } {
96 [ "acp" "acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
102 [ { "reducibility" * } {
103 [ { "extended reduction" * } {
104 [ "xpr ( ⦃?,?⦄ ⊢ ? ➸[?] ? )" "xpr_lift" "xpr_aaa" * ]
107 [ { "context-sensitive normal forms" * } {
108 [ "cnf ( ? ⊢ 𝐍⦃?⦄ )" "cnf_lift" *"cnf_cif" * ]
111 [ { "context-sensitive reduction" * } {
112 [ "lcpr ( ? ⊢ ➡ ? )" "lcpr_aaa" "lcpr_cpr" "lcpr_lcpr" * ]
113 [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" "cpr_ltpss" "cpr_delift" "cpr_ltpr" "cpr_cpr" * ]
116 [ { "context-sensitive reducible forms" * } {
117 [ "crf ( ? ⊢ 𝐑⦃?⦄ )" "crf_append" "cif ( ? ⊢ 𝐈⦃?⦄ )" "cif_append" * ]
120 [ { "focalized reduction" * } {
121 [ "lfpr_alt ( ⦃?⦄ ➡➡ ⦃?⦄ )" * ]
122 [ "fpr ( ⦃?,?⦄ ➡ ⦃?,?⦄ )" * ]
125 [ { "context-free normal forms" * } {
126 [ "thnf ( 𝐇𝐍⦃?⦄ )" * ]
129 [ { "context-free reduction" * } {
130 [ "ltpr ( ? ➡ ? )" "ltpr_ldrop" "ltpr_tps" "ltpr_ltpss" "ltpr_aaa" "ltpr_ltpr" * ]
131 [ "tpr ( ? ➡ ? )" "tpr_lift" "tpr_tpss" "tpr_delift" "tpr_tpr" * ]
145 [ { "stratified unwind" * } {
146 [ "sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )" "sstas_lift" "sstas_ltpss" "sstas_sstas" * ]
151 [ { "static typing" * } {
152 [ { "local env. ref. for stratified static type assignment" * } {
153 [ "lsubss ( ? ⁝⊑ ? )" "lsubss_ldrop" "lsubss_ssta" "lsubss_lsubss" * ]
156 [ { "stratified static type assignment" * } {
157 [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" "ssta_ltpss_dx" "ssta_ltpss_sn" "ssta_aaa" "ssta_ssta" * ]
160 [ { "local env. ref. for atomic arity assignment" * } {
161 [ "lsuba ( ? ⁝⊑ ? )" "lsuba_ldrop" "lsuba_aaa" "lsuba_lsuba" * ]
164 [ { "atomic arity assignment" * } {
165 [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" "aaa_lifts" "aaa_ltpss_dx" "aaa_ltpss_sn" "aaa_aaa" * ]
168 [ { "parameters" * } {
176 [ { "basic local env. thinning" * } {
177 [ "thin ( ? ▼*[?,?] ≡ ? )" "thin_ldrop" "thin_delift" * ]
180 [ { "inverse basic term relocation" * } {
181 [ "delift ( ? ⊢ ? ▼*[?,?] ≡ ? )" "delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )" "delift_lift" "delift_tpss" "delift_ltpss" "delift_delift" * ]
184 [ { "partial unfold" * } {
185 [ "ltpss_sn ( ? ⊢ ▶*[?,?] ? )" "ltpss_sn_ldrop" "ltpss_sn_tps" "ltpss_sn_tpss" "ltpss_sn_ltpss_sn" "ltpss_sn_alt ( ? ⊢ ▶▶*[?,?] ? )" * ]
186 [ "ltpss_dx ( ? ▶*[?,?] ? )" "ltpss_dx_ldrop" "ltpss_dx_tps" "ltpss_dx_tpss" "ltpss_dx_ltpss_dx" * ]
187 [ "tpss ( ? ⊢ ? ▶*[?,?] ? )" "tpss_alt ( ? ⊢ ? ▶▶*[?,?] ? )" "tpss_lift" "tpss_tpss" * ]
190 [ { "generic local env. slicing" * } {
191 [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" "ldrops_ldrops" * ]
194 [ { "generic term relocation" * } {
195 [ "lifts_vector ( ⇧*[?] ? ≡ ? )" "lifts_lift_vector" * ]
196 [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" "lifts_lifts" * ]
199 [ { "support for generic relocation" * } {
200 [ "gr2 ( @⦃?,?⦄ ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ]
206 [ { "substitution" * } {
207 [ { "parallel substitution" * } {
208 [ "tps ( ? ⊢ ? ▶[?,?] ? )" "tps_lift" "tps_tps" * ]
211 [ { "global env. slicing" * } {
212 [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
215 [ { "basic local env. slicing" * } {
216 [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" "ldrop_lpx" "ldrop_sfr" "ldrop_ldrop" * ]
219 [ { "local env. ref. for substitution" * } {
220 [ "lsubs ( ? ≼[?,?] ? )" "(lsubs_lsubs)" "lsubs_sfr ( ≽[?,?] ? )" * ]
223 [ { "basic term relocation" * } {
224 [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ]
225 [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_lift" * ]
232 [ { "same head term form" * } {
233 [ "tshf ( ? ≈ ? )" "(tshf_tshf)" * ]
236 [ { "same top term constructor" * } {
237 [ "tstc ( ? ≃ ? )" "tstc_tstc" "tstc_vector" * ]
241 [ "cl_shift ( ? @@ ? )" "cl_weight ( #{?,?} )" * ]
244 [ { "internal syntax" * } {
246 [ "lenv" "lenv_weight ( #{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" "lenv_px" "lenv_px_bi" * ]
247 [ "term" "term_weight ( #{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
251 [ { "external syntax" * } {
259 class "component" { 0 }