14 [ { "terms with special features" * } {
15 [ "ex_sta_ldec" + "ex_cpr_omega" * ]
29 [ { "higher order dynamic typing" * } {
30 [ { "higher order native type assignment" * } {
31 [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
38 [ { "dynamic typing" * } {
40 [ { "local env. ref. for native type assignment" * } {
41 [ "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
44 [ { "native type assignment" * } {
45 [ "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ]
49 [ { "local env. ref. for stratified native validity" * } {
50 [ "lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )" "lsubsv_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_scpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
53 [ { "stratified native validity" * } {
54 [ "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
55 [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_scpes" + "snv_preserve" * ]
61 [ { "equivalence" * } {
62 [ { "decomposed extended equivalence" * } {
63 [ "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
66 [ { "context-sensitive equivalence" * } {
67 [ "cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )" "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ]
73 [ { "conversion" * } {
74 [ { "context-sensitive conversion" * } {
75 [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ]
81 [ { "computation" * } {
82 [ { "evaluation for context-sensitive extended reduction" * } {
83 [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
86 [ { "evaluation for context-sensitive reduction" * } {
87 [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
90 [ { "strongly normalizing \"big tree\" computation" * } {
91 [ "fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )" "fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )" "fsb_aaa" + "fsb_csx" * ]
94 [ { "strongly normalizing extended computation" * } {
95 [ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ]
96 [ "lsx ( ? ⊢ ⬊*[?,?,?,?] ? )" "lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )" "lsx_drop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ]
97 [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tsts_vector" + "csx_aaa" * ]
98 [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
101 [ { "\"big tree\" parallel computation" * } {
102 [ "fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbg" * ]
103 [ "fpbc ( ⦃?,?,?⦄ ≻≡[?,?] ⦃?,?,?⦄ )" "fpbc_fleq" + "fpbc_fpbs" * ]
104 [ "fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbu_lift" + "fpbu_lleq" + "fpbu_fleq" * ]
105 [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_fleq" + "fpbs_aaa" + "fpbs_fpbs" + "fpbs_ext" * ]
108 [ { "decomposed extended computation" * } {
109 [ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
112 [ { "context-sensitive extended computation" * } {
113 [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
114 [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tsts" + "cpxs_tsts_vector" + "cpxs_leq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
117 [ { "context-sensitive computation" * } {
118 [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
119 [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
122 [ { "local env. ref. for generic reducibility" * } {
123 [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drop" + "lsubc_drops" + "lsubc_lsuba" * ]
126 [ { "support for generic computation properties" * } {
127 [ "gcp" "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
133 [ { "reduction" * } {
134 [ { "\"big tree\" parallel reduction" * } {
135 [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_aaa" * ]
138 [ { "normal forms for context-sensitive extended reduction" * } {
139 [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
142 [ { "context-sensitive extended reduction" * } {
143 [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_drop" + "lpx_frees" + "lpx_lleq" + "lpx_aaa" * ]
144 [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_leq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
147 [ { "irreducible forms for context-sensitive extended reduction" * } {
148 [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
151 [ { "reducible forms for context-sensitive extended reduction" * } {
152 [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
155 [ { "normal forms for context-sensitive reduction" * } {
156 [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
159 [ { "context-sensitive reduction" * } {
160 [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_drop" + "lpr_lpr" * ]
161 [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_llpx_sn" + "cpr_cir" * ]
164 [ { "irreducible forms for context-sensitive reduction" * } {
165 [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
168 [ { "reducible forms for context-sensitive reduction" * } {
169 [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
177 [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
180 [ { "iterated static type assignment" * } {
181 [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
187 [ { "static typing" * } {
188 [ { "local env. ref. for degree assignment" * } {
189 [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
192 [ { "degree assignment" * } {
193 [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
196 [ { "parameters" * } {
200 [ { "local env. ref. for atomic arity assignment" * } {
201 [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_aaa" + "lsuba_lsuba" * ]
204 [ { "atomic arity assignment" * } {
205 [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_lleq" + "aaa_aaa" * ]
208 [ { "restricted local env. ref." * } {
209 [ "lsubr ( ? ⫃ ? )" "lsubr_lsubr" * ]
215 [ { "multiple substitution" * } {
216 [ { "lazy equivalence" * } {
217 [ "fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )" "fleq_fleq" * ]
218 [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_leq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
221 [ { "lazy pointwise extension of a relation" * } {
222 [ "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" * ]
225 [ { "pointwise union for local environments" * } {
226 [ "llor ( ? ⩖[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
229 [ { "context-sensitive exclusion from free variables" * } {
230 [ "frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )" "frees_append" + "frees_leq" + "frees_lift" * ]
233 [ { "contxt-sensitive extended multiple substitution" * } {
234 [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
237 [ { "iterated structural successor for closures" * } {
238 [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
239 [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
242 [ { "iterated local env. slicing" * } {
243 [ "drops ( ⇩*[?,?] ? ≡ ? )" "drops_drop" + "drops_drops" * ]
246 [ { "generic term relocation" * } {
247 [ "lifts_vector ( ⇧*[?] ? ≡ ? )" "lifts_lift_vector" * ]
248 [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ]
251 [ { "support for multiple relocation" * } {
252 [ "mr2 ( @⦃?,?⦄ ≡ ? )" "mr2_plus ( ? + ? )" "mr2_minus ( ? ▭ ? ≡ ? )" "mr2_mr2" * ]
258 [ { "substitution" * } {
259 [ { "structural successor for closures" * } {
260 [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )" * ]
261 [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" * ]
264 [ { "global env. slicing" * } {
265 [ "gget ( ⇩[?] ? ≡ ? )" "gget_gget" * ]
268 [ { "contxt-sensitive extended ordinary substitution" * } {
269 [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
272 [ { "local env. ref. for extended substitution" * } {
273 [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
276 [ { "pointwise extension of a relation" * } {
277 [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
280 [ { "basic local env. slicing" * } {
281 [ "drop ( ⇩[?,?,?] ? ≡ ? )" "drop_append" + "drop_leq" + "drop_drop" * ]
284 [ { "basic term relocation" * } {
285 [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ]
286 [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_neq" + "lift_lift" * ]
293 [ { "equivalence for local environments" * } {
294 [ "leq ( ? ⩬[?,?] ? )" "leq_leq" * ]
297 [ { "same top term structure" * } {
298 [ "tsts ( ? ≂ ? )" "tsts_tsts" + "tsts_vector" * ]
302 [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
305 [ { "internal syntax" * } {
307 [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ]
308 [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector ( Ⓐ?.? )" * ]
312 [ { "external syntax" * } {
322 class "capitalize italic" { 0 }