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 [ { "\"big tree\" parallel computation" * } {
43 [ "yprs ( ? ⊢ ⦃?,?⦄ ≥[g] ⦃?,?⦄ )" "yprs_yprs" "ygt ( ? ⊢ ⦃?,?⦄ >[g] ⦃?,?⦄ )" "ygt_ygt" * ]
46 [ { "\"big tree\" parallel reduction" * } {
47 [ "ypr ( ? ⊢ ⦃?,?⦄ ≽[g] ⦃?,?⦄ )" "ysc ( ? ⊢ ⦃?,?⦄ ≻[g] ⦃?,?⦄ )" * ]
50 [ { "local env. ref. for stratified native validity" * } {
51 [ "lsubsv ( ? ⊢ ? ¡⊑[?] ? )" "lsubsv_ldrop" + "lsubsv_lsuba" + "lsubsv_ssta" + "lsubsv_dxprs" + "lsubsv_cpcs" + "lsubsv_snv" * ]
54 [ { "stratified native validity" * } {
55 [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?] )" "snv_lift" + "snv_lpss" + "snv_aaa" + "snv_ssta" + "snv_sstas" + "snv_ssta_lpr" + "snv_lpr" + "snv_cpcs" * ]
61 [ { "equivalence" * } {
62 [ { "local env. ref. for stratified static type assignment" * } {
63 [ "lsubss ( ? •⊑[?] ? )" "lsubss_ldrop" + "lsubss_ssta" + "lsubss_cpcs" * ]
66 [ { "context-sensitive equivalence" * } {
67 [ "cpcs ( ? ⊢ ? ⬌* ? )" "cpcs_lpss" + "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ]
73 [ { "conversion" * } {
74 [ { "context-sensitive conversion" * } {
75 [ "cpc ( ? ⊢ ? ⬌ ? )" "cpc_cpc" * ]
81 [ { "computation" * } {
82 [ { "decomposed extended computation" * } {
83 [ "dxprs ( ⦃?,?⦄ ⊢ ? •*➡*[?] ? )" "dxprs_lift" + "dxprs_lpss" + "dxprs_aaa" + "dxprs_dxprs" * ]
86 [ { "weakly normalizing computation" * } {
87 [ "cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )" "cpe_cpe" * ]
90 [ { "strongly normalizing computation" * } {
91 [ "csn_vector ( ? ⊢ ⬊* ? )" "csn_tstc_vector" + "csn_aaa" * ]
92 [ "csn ( ? ⊢ ⬊* ? )" "csn_alt ( ? ⊢ ⬊⬊* ? )" "csn_lift" + "csn_lpx" * ]
95 [ { "context-sensitive extended computation" * } {
96 [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?] ? )" "lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?] ? )" "lpxs_ldrop" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
97 [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_lift" + "cpxs_aaa" + "cpxs_cpxs" * ]
100 [ { "context-sensitive computation" * } {
101 [ "lprs ( ? ⊢ ➡* ? )" "lprs_alt ( ? ⊢ ➡➡* ? )" "lprs_ldrop" + "lprs_lpss" + "lprs_cprs" + "lprs_lprs" * ]
102 [ "cprs ( ? ⊢ ? ➡* ?)" "cprs_lift" + "cprs_lpss" + "cprs_cprs" * ]
105 [ { "local env. ref. for abstract candidates of reducibility" * } {
106 [ "lsubc ( ? ⊑[?] ? )" "lsubc_ldrop" + "lsubc_ldrops" + "lsubc_lsuba" * ]
109 [ { "support for abstract computation properties" * } {
110 [ "acp" "acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
116 [ { "reduction" * } {
117 [ { "context-sensitive extended normal forms" * } {
118 [ "cnx ( ⦃?,?⦄ ⊢ 𝐍[?]⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
121 [ { "context-sensitive extended reduction" * } {
122 [ "lpx ( ⦃?,?⦄ ⊢ ➡[?] ? )" "lpx_ldrop" + "lpx_aaa" * ]
123 [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpx_lift" + "cpx_cix" * ]
126 [ { "context-sensitive extended irreducible forms" * } {
127 [ "cix ( ⦃?,?⦄ ⊢ 𝐈[?]⦃?⦄ )" "cix_append" + "cix_lift" * ]
130 [ { "context-sensitive extended reducible forms" * } {
131 [ "crx ( ⦃?,?⦄ ⊢ 𝐑[?]⦃?⦄ )" "crx_append" + "crx_lift" * ]
134 [ { "context-sensitive normal forms" * } {
135 [ "cnr ( ? ⊢ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
138 [ { "context-sensitive reduction" * } {
139 [ "lpr ( ? ⊢ ➡ ? )" "lpr_ldrop" + "lpr_lpss" + "lpr_lpr" * ]
140 [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" + "cpr_cir" * ]
143 [ { "context-sensitive irreducible forms" * } {
144 [ "cir ( ? ⊢ 𝐈⦃?⦄ )" "cir_append" + "cir_lift" * ]
147 [ { "context-sensitive reducible forms" * } {
148 [ "crr ( ? ⊢ 𝐑⦃?⦄ )" "crr_append" + "crr_lift" * ]
155 [ { "restricted parallel computation" * } {
156 [ "lpqs ( ? ⊢ ➤* ? )" "lpqs_ldrop" + "lpqs_cpqs" + "lpqs_lpqs" * ]
157 [ "cpqs ( ? ⊢ ? ➤* ? )" "cpqs_lift" * ]
161 [ "unfold ( ? ⊢ ? ⧫* ? )" * ]
164 [ { "iterated stratified static type assignment" * } {
165 [ "sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )" "sstas_lift" + "sstas_lpss" + "sstas_aaa" + "sstas_sstas" * ]
171 [ { "static typing" * } {
172 [ { "stratified static type assignment" * } {
173 [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_lpss" + "ssta_aaa" + "ssta_ssta" * ]
176 [ { "local env. ref. for atomic arity assignment" * } {
177 [ "lsuba ( ? ⁝⊑ ? )" "lsuba_ldrop" + "lsuba_aaa" + "lsuba_lsuba" * ]
180 [ { "atomic arity assignment" * } {
181 [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_lpss" + "aaa_aaa" * ]
184 [ { "parameters" * } {
191 [ { "substitution" * } {
192 [ { "parallel substitution" * } {
193 [ "lpss ( ? ⊢ ▶* ? )" "lpss_ldrop" + "lpss_cpss" + "lpss_lpss" * ]
194 [ "cpss ( ? ⊢ ? ▶* ? )" "cpss_lift" * ]
197 [ { "local env. ref. for substitution" * } {
198 [ "lsubr ( ? ⊑ ? )" "lsubr_lsubr" * ]
201 [ { "iterated structural successor for closures" * } {
202 [ "fsups ( ⦃?,?⦄ ⊃* ⦃?,?⦄ )" "fsups_fsups" * ]
203 [ "fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )" "fsupp_fsupp" * ]
206 [ { "generic local env. slicing" * } {
207 [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ]
210 [ { "generic term relocation" * } {
211 [ "lifts_vector ( ⇧*[?] ? ≡ ? )" "lifts_lift_vector" * ]
212 [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ]
215 [ { "support for generic relocation" * } {
216 [ "gr2 ( @⦃?,?⦄ ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ]
222 [ { "relocation" * } {
223 [ { "structural successor for closures" * } {
224 [ "fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )" "fsupq ( ⦃?,?⦄ ⊃⸮ ⦃?,?⦄ )" "fsupq_alt" * ]
227 [ { "global env. slicing" * } {
228 [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
231 [ { "basic local env. slicing" * } {
232 [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx_sn" + "ldrop_ldrop" * ]
235 [ { "basic term relocation" * } {
236 [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ]
237 [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_lift" * ]
244 [ { "pointwise extension of a relation" * } {
245 [ "lpx_sn" "lpx_sn_tc" + "lpx_sn_lpx_sn" * ]
248 [ { "same top term constructor" * } {
249 [ "tstc ( ? ≃ ? )" "tstc_tstc" + "tstc_vector" * ]
253 [ "cl_shift ( ? @@ ? )" "cl_weight ( ♯{?,?} )" * ]
256 [ { "internal syntax" * } {
258 [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ]
259 [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
263 [ { "external syntax" * } {
271 class "component" { 0 }