14 [ { "terms with special features" * } {
15 [ "ex_sta_ldec" + "ex_cpr_omega" + "ex_fpbg_refl" + "ex_snv_eta" * ]
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_fsb" + "snv_scpes" + "snv_preserve" * ]
61 [ { "equivalence" * } {
62 [ { "decomposed rt-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 rt-reduction" * } {
83 [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
86 [ { "evaluation for context-sensitive reduction" * } {
87 [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
90 [ { "strongly normalizing qrst-computation" * } {
91 [ "fsb ( ⦥[?,?] ⦃?,?,?⦄ )" "fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )" "fsb_aaa" + "fsb_csx" * ]
94 [ { "strongly normalizing rt-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 [ { "parallel qrst-computation" * } {
102 [ "fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbs" + "fpbg_fpbg" * ]
103 [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpb" + "fpbs_fpbs" * ]
106 [ { "decomposed rt-computation" * } {
107 [ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
110 [ { "context-sensitive rt-computation" * } {
111 [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
112 [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tsts" + "cpxs_tsts_vector" + "cpxs_lreq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
115 [ { "context-sensitive computation" * } {
116 [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
117 [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
120 [ { "local env. ref. for generic reducibility" * } {
121 [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drop" + "lsubc_drops" + "lsubc_lsuba" * ]
124 [ { "support for generic computation properties" * } {
125 [ "gcp" "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
131 [ { "reduction" * } {
132 [ { "parallel qrst-reduction" * } {
133 [ "fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )" "fpbq_lift" + "fpbq_aaa" * ]
134 [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_lleq" + "fpb_fleq" * ]
137 [ { "normal forms for context-sensitive rt-reduction" * } {
138 [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
141 [ { "context-sensitive rt-reduction" * } {
142 [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_drop" + "lpx_frees" + "lpx_lleq" + "lpx_aaa" * ]
143 [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lreq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
146 [ { "irreducible forms for context-sensitive rt-reduction" * } {
147 [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
150 [ { "reducible forms for context-sensitive rt-reduction" * } {
151 [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
154 [ { "normal forms for context-sensitive reduction" * } {
155 [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
158 [ { "context-sensitive reduction" * } {
159 [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_drop" + "lpr_lpr" * ]
160 [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_llpx_sn" + "cpr_cir" * ]
163 [ { "irreducible forms for context-sensitive reduction" * } {
164 [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
167 [ { "reducible forms for context-sensitive reduction" * } {
168 [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
176 [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
179 [ { "iterated static type assignment" * } {
180 [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
186 [ { "static typing" * } {
187 [ { "local env. ref. for degree assignment" * } {
188 [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
191 [ { "degree assignment" * } {
192 [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
195 [ { "parameters" * } {
199 [ { "local env. ref. for atomic arity assignment" * } {
200 [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_aaa" + "lsuba_lsuba" * ]
203 [ { "atomic arity assignment" * } {
204 [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_lleq" + "aaa_aaa" * ]
207 [ { "restricted local env. ref." * } {
208 [ "lsubr ( ? ⫃ ? )" "lsubr_lsubr" * ]
214 [ { "multiple substitution" * } {
215 [ { "lazy equivalence" * } {
216 [ "fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )" "fleq_fleq" * ]
217 [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
220 [ { "lazy pointwise extension of a relation" * } {
221 [ "llpx_sn" "llpx_sn_alt" + "llpx_sn_alt_rec" + "llpx_sn_tc" + "llpx_sn_lreq" + "llpx_sn_drop" + "llpx_sn_lpx_sn" + "llpx_sn_frees" + "llpx_sn_llor" * ]
224 [ { "pointwise union for local environments" * } {
225 [ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
228 [ { "context-sensitive exclusion from free variables" * } {
229 [ "frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )" "frees_append" + "frees_lreq" + "frees_lift" * ]
232 [ { "context-sensitive multiple rt-substitution" * } {
233 [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
236 [ { "iterated structural successor for closures" * } {
237 [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
238 [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
241 [ { "iterated local env. slicing" * } {
242 [ "drops ( ⬇*[?,?] ? ≡ ? )" "drops_drop" + "drops_drops" * ]
245 [ { "generic term relocation" * } {
246 [ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lift_vector" * ]
247 [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ]
250 [ { "support for multiple relocation" * } {
251 [ "mr2 ( @⦃?,?⦄ ≡ ? )" "mr2_plus ( ? + ? )" "mr2_minus ( ? ▭ ? ≡ ? )" "mr2_mr2" * ]
257 [ { "substitution" * } {
258 [ { "structural successor for closures" * } {
259 [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )" * ]
260 [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" * ]
263 [ { "global env. slicing" * } {
264 [ "gget ( ⬇[?] ? ≡ ? )" "gget_gget" * ]
267 [ { "context-sensitive ordinary rt-substitution" * } {
268 [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
271 [ { "local env. ref. for rt-substitution" * } {
272 [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
275 [ { "pointwise extension of a relation" * } {
276 [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
279 [ { "basic local env. slicing" * } {
280 [ "drop ( ⬇[?,?,?] ? ≡ ? )" "drop_append" + "drop_lreq" + "drop_drop" * ]
283 [ { "basic term relocation" * } {
284 [ "lift_vector ( ⬆[?,?] ? ≡ ? )" "lift_lift_vector" * ]
285 [ "lift ( ⬆[?,?] ? ≡ ? )" "lift_neq" + "lift_lift" * ]
292 [ { "equivalence for local environments" * } {
293 [ "lreq ( ? ⩬[?,?] ? )" "lreq_lreq" * ]
296 [ { "same top term structure" * } {
297 [ "tsts ( ? ≂ ? )" "tsts_tsts" + "tsts_vector" * ]
301 [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
304 [ { "internal syntax" * } {
306 [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ]
307 [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector ( Ⓐ?.? )" * ]
311 [ { "external syntax" * } {
321 class "capitalize italic" { 0 }