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some resuls on pointwise extensions (all of them are now in the
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / web / basic_2_src.tbl
1 name "basic_2_src"
2
3 table {
4    class "grey"
5    [ { "component" * } {
6         [ { "plane" * } {
7              [ "files" * ]
8           }
9         ]
10      }
11    ]
12 (*
13    class "wine"
14    [ { "examples" * } {
15         [ { "" * } {
16              [ "" * ]
17           }
18         ]
19      }
20    ]
21    class "magenta"
22    [ { "higher order dynamic typing" * } {
23         [ { "higher order native type assignment" * } {
24              [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
25           }
26         ]
27      }
28    ]
29 *)
30    class "prune"
31    [ { "dynamic typing" * } {
32 (*
33         [ { "local env. ref. for native type assignment" * } {
34              [ "lsubn ( ? ⊢ ? :⊑ ? )" "lsubn_ldrop" "lsubn_cpcs" "lsubn_nta" * ]
35           }
36         ]
37         [ { "native type assignment" * } {
38              [ "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ]
39           }
40         ]
41 *)
42         [ { "local env. ref. for stratified native validity" * } {
43              [ "lsubsv ( ? ⊢ ? ¡⊑[?,?] ? )" "lsubsv_ldrop" + "lsubsv_lsubd" + "lsubsv_lsuba" + "lsubsv_lsstas" + "lsubsv_cpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
44           }
45         ]
46         [ { "stratified native validity" * } {
47              [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_da_lpr" + "snv_aaa" + "snv_lsstas" + "snv_lsstas_lpr" + "snv_lpr" + "snv_cpcs" * ]
48           }
49         ]
50      }
51    ]
52    class "blue"
53    [ { "equivalence" * } {
54         [ { "decomposed extended equivalence" * } {
55              [ "cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )" "cpes_cpds" * ]
56           }
57         ]
58         [ { "context-sensitive equivalence" * } {
59              [ "cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )" "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ]
60           }
61         ]
62      }
63    ]
64    class "sky"
65    [ { "conversion" * } {
66         [ { "context-sensitive conversion" * } {
67              [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ]
68           }
69         ]
70      }
71    ]
72    class "cyan"
73    [ { "computation" * } {
74         [ { "evaluation for context-sensitive extended reduction" * } {
75              [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
76           }
77         ]
78         [ { "evaluation for context-sensitive reduction" * } {
79              [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
80           }
81         ]
82         [ { "strongly normalizing \"big tree\" computation" * } {
83              [ "fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )" "fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )" "fsb_aaa" + "fsb_csx" * ]
84           }
85         ]
86         [ { "strongly normalizing extended computation" * } {
87 (*             [ "lcosx ( ? ⊢ ⧤⬊*[?,?,?] ? )" "lcosx_cpxs" * ] *)
88              [ "llsx ( ? ⊢ ⋕⬊*[?,?,?,?] ? )" "llsx_alt ( ? ⊢ ⋕⬊⬊*[?,?,?,?] ? )" "llsx_ldrop" + "llsx_llpx" + "llsx_llpxs" + "llsx_csx" * ]
89              [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tstc_vector" + "csx_aaa" * ]
90              [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
91           }
92         ]
93         [ { "\"big tree\" parallel computation" * } {
94              [ "fpbg ( ⦃?,?,?⦄ >⋕[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbg" * ]
95              [ "fpbc ( ⦃?,?,?⦄ ≻⋕[?,?] ⦃?,?,?⦄ )" "fpbc_fleq" + "fpbc_fpbs" * ]
96              [ "fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbu_lift" + "fpbu_lleq" "fpbu_fleq" * ]
97              [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_fleq" + "fpbs_aaa" + "fpbs_lpr" + "fpbs_fpbs" + "fpbs_ext" * ]
98           }
99         ]
100         [ { "decomposed extended computation" * } {
101              [ "cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )" "cpds_lift" + "cpds_aaa" + "cpds_cpds" * ]
102           }
103         ]
104         [ { "context-sensitive extended computation" * } {
105              [ "llpxs ( ⦃?,?⦄ ⊢ ➡*[?,?,?,?] ? )" "llpxs_lleq" + "llpxs_aaa" + "llpxs_lprs" "llpxs_cpxs" + "llpxs_llpxs" * ]
106 (*             [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )" "lpxs_ldrop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ] *)
107              [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_leq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
108           }
109         ]
110         [ { "context-sensitive computation" * } {
111              [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_alt ( ⦃?,?⦄ ⊢ ➡➡* ? )" "lprs_ldrop" + "lprs_cprs" + "lprs_lprs" * ]
112              [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
113           }
114         ]
115         [ { "local env. ref. for abstract candidates of reducibility" * } {
116              [ "lsubc ( ? ⊢ ? ⊑[?] ? )" "lsubc_ldrop" + "lsubc_ldrops" + "lsubc_lsuba" * ]
117           }
118         ]
119         [ { "support for abstract computation properties" * } {
120              [ "acp" "acp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
121           }
122         ]
123      }
124    ]
125    class "water"
126    [ { "reduction" * } {
127         [ { "\"big tree\" parallel reduction" * } {
128              [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_aaa" * ]
129           }
130         ]
131         [ { "normal forms for context-sensitive extended reduction" * } {
132              [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
133           }
134         ]
135         [ { "context-sensitive extended reduction" * } {
136              [ "llpx ( ⦃?,?⦄ ⊢ ➡[?,?,?,?] ? )" "llpx_ldrop" + "llpx_lleq" + "llpx_aaa" + "llpx_lpr" * ]
137 (*             [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_ldrop" + "lpx_lleq" + "lpx_aaa" * ] *)
138              [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_leq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
139           }
140         ]
141         [ { "irreducible forms for context-sensitive extended reduction" * } {
142              [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
143           }
144         ]
145         [ { "reducible forms for context-sensitive extended reduction" * } {
146              [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
147           }
148         ]
149         [ { "normal forms for context-sensitive reduction" * } {
150              [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
151           }
152         ]
153         [ { "context-sensitive reduction" * } {
154              [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_ldrop" + "lpr_lpr" * ]
155              [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_llpx_sn" + "cpr_cir" * ]
156           }
157         ]
158         [ { "irreducible forms for context-sensitive reduction" * } {
159              [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
160           }
161         ]
162         [ { "reducible forms for context-sensitive reduction" * } {
163              [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
164           }
165         ]
166      }
167    ]
168    class "green"
169    [ { "unfold" * } {
170         [ { "unfold" * } {
171              [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
172           }
173         ]
174         [ { "iterated static type assignment" * } {
175              [ "lsstas ( ⦃?,?⦄ ⊢ ? •*[?,?,?] ? )" "lsstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?,?] ? )" "lsstas_lift" + "lsstas_aaa" + "lsstas_lsstas" * ]
176           }
177         ]
178      }
179    ]
180    class "grass"
181    [ { "static typing" * } {
182         [ { "local env. ref. for atomic arity assignment" * } {
183              [ "lsuba ( ? ⊢ ? ⁝⊑ ? )" "lsuba_ldrop" + "lsuba_aaa" + "lsuba_lsuba" * ]
184           }
185         ]
186         [ { "atomic arity assignment" * } {
187              [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_da" + "aaa_ssta" + "aaa_aaa" * ]
188           }
189         ]
190         [ { "stratified static type assignment" * } {
191              [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_lpx_sn" + "ssta_ssta" * ]
192           }
193         ]
194         [ { "local env. ref. for degree assignment" * } {
195              [ "lsubd ( ? ⊢ ? ▪⊑ ? )" "lsubd_da" + "lsubd_lsubd" * ]
196           }
197         ]
198         [ { "degree assignment" * } {
199              [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_da" * ]
200           }
201         ]
202         [ { "parameters" * } {
203              [ "sh" "sd" * ]
204           }
205         ]
206         [ { "restricted local env. ref." * } {
207              [ "lsubr ( ? ⊑ ? )" "lsubr_lsubr" * ]
208           }
209         ]
210      }
211    ]
212    class "yellow"
213    [ { "substitution" * } {
214         [ { "lazy equivalence" * } {
215              [ "fleq ( ⦃?,?,?⦄ ⋕[?] ⦃?,?,?⦄ )" "fleq_fleq" * ]
216              [ "lleq ( ? ⋕[?,?] ? )" "lleq_alt" + "lleq_leq" + "lleq_ldrop" + "lleq_fqus" + "lleq_lleq" * ]
217           }
218         ]
219         [ { "iterated structural successor for closures" * } {
220              [ "fqus ( ⦃?,?,?⦄ ⊃* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
221              [ "fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
222           }
223         ]
224         [ { "iterated local env. slicing" * } {
225              [ "ldrops ( ⇩*[?,?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ]
226           }
227         ]
228         [ { "generic term relocation" * } {
229              [ "lifts_vector ( ⇧*[?] ? ≡ ? )" "lifts_lift_vector" * ]
230              [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ]
231           }
232         ]
233         [ { "support for generic relocation" * } {
234              [ "gr2 ( @⦃?,?⦄ ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ]
235           }
236         ]
237      }
238    ]
239    class "orange"
240    [ { "relocation" * } {
241         [ { "structural successor for closures" * } {
242              [ "fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" * ]
243              [ "fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" * ]
244           }
245         ]
246         [ { "global env. slicing" * } {
247              [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
248           }
249         ]
250         [ { "lazy pointwise extension of a relation" * } {
251              [ "llpx_sn" "llpx_sn_alt" + "llpx_sn_tc" + "llpx_sn_leq" + "llpx_sn_ldrop" + "llpx_sn_lpx_sn" * ]
252           }
253         ]
254         [ { "basic local env. slicing" * } {
255              [ "ldrop ( ⇩[?,?,?] ? ≡ ? )" "ldrop_lpx_sn" + "ldrop_leq" + "ldrop_ldrop" * ]
256           }
257         ]
258         [ { "basic term relocation" * } {
259              [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ]
260              [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_neq" + "lift_lift" * ]
261           }
262         ]
263      }
264    ]
265    class "red"
266    [ { "grammar" * } {
267         [ { "equivalence for local environments" * } {
268              [ "leq ( ? ≃[?,?] ? )" "leq_leq" * ]
269           }
270         ]
271         [ { "pointwise extension of a relation" * } {
272              [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_lpx_sn" * ]
273           }
274         ]
275         [ { "same top term constructor" * } {
276              [ "tstc ( ? ≃ ? )" "tstc_tstc" + "tstc_vector" * ]
277           }
278         ]
279         [ { "closures" * } {
280              [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
281           }
282         ]
283         [ { "internal syntax" * } {
284              [ "genv" * ]
285              [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ]
286              [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
287              [ "item" * ]
288           }
289         ]
290         [ { "external syntax" * } {
291              [ "aarity" * ]
292           }
293         ]
294      }
295    ]
296 }
297
298 class "component" { 0 }
299
300 class "plane" { 1 }
301
302 class "file" { 2 * }