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some renaming and some typos corrected ...
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / web / basic_2_src.tbl
1 name "basic_2_src"
2
3 table {
4    class "gray"
5    [ { "component" * } {
6         [ { "plane" * } {
7              [ "files" * ]
8           }
9         ]
10      }
11    ]
12    class "wine"
13    [ { "examples" * } {
14         [ { "terms with special features" * } {
15              [ "ex_cpr_omega" * ]
16           }
17         ]
18      }
19    ]
20    class "magenta"
21    [ { "" * } {
22         [ { "" * } {
23              [ "" * ]
24           }
25         ]
26      }
27    ]
28 (*   
29    [ { "higher order dynamic typing" * } {
30         [ { "higher order native type assignment" * } {
31              [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
32           }
33         ]
34      }
35    ]
36 *)
37    class "prune"
38    [ { "dynamic typing" * } {
39 (*
40         [ { "local env. ref. for native type assignment" * } {
41              [ "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
42           }
43         ]
44         [ { "native type assignment" * } {
45              [ "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ]
46           }
47         ]
48 *)
49         [ { "local env. ref. for stratified native validity" * } {
50              [ "lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )" "lsubsv_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_cpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
51           }
52         ]
53         [ { "stratified native validity" * } {
54              [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_cpcs" + "snv_preserve" * ]
55           }
56         ]
57      }
58    ]
59    class "blue"
60    [ { "equivalence" * } {
61         [ { "decomposed extended equivalence" * } {
62              [ "cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )" "cpes_cpds" * ]
63           }
64         ]
65         [ { "context-sensitive equivalence" * } {
66              [ "cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )" "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ]
67           }
68         ]
69      }
70    ]
71    class "sky"
72    [ { "conversion" * } {
73         [ { "context-sensitive conversion" * } {
74              [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ]
75           }
76         ]
77      }
78    ]
79    class "cyan"
80    [ { "computation" * } {
81         [ { "evaluation for context-sensitive extended reduction" * } {
82              [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
83           }
84         ]
85         [ { "evaluation for context-sensitive reduction" * } {
86              [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
87           }
88         ]
89         [ { "strongly normalizing \"big tree\" computation" * } {
90              [ "fsb ( ⦃?,?⦄ ⊢ ⦥[?,?] ? )" "fsb_alt ( ⦃?,?⦄ ⊢ ⦥⦥[?,?] ? )" "fsb_aaa" + "fsb_csx" * ]
91           }
92         ]
93         [ { "strongly normalizing extended computation" * } {
94              [ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ]
95              [ "lsx ( ? ⊢ ⬊*[?,?,?,?] ? )" "lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )" "lsx_drop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ]
96              [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tstc_vector" + "csx_aaa" * ]
97              [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
98           }
99         ]
100         [ { "\"big tree\" parallel computation" * } {
101              [ "fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbg" * ]
102              [ "fpbc ( ⦃?,?,?⦄ ≻≡[?,?] ⦃?,?,?⦄ )" "fpbc_fleq" + "fpbc_fpbs" * ]
103              [ "fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbu_lift" + "fpbu_lleq" "fpbu_fleq" * ]
104              [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_fleq" + "fpbs_aaa" + "fpbs_fpbs" + "fpbs_ext" * ]
105           }
106         ]
107         [ { "decomposed extended computation" * } {
108              [ "cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )" "cpds_lift" + "cpds_aaa" + "cpds_cpds" * ]
109           }
110         ]
111         [ { "context-sensitive extended computation" * } {
112              [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
113              [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_leq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
114           }
115         ]
116         [ { "context-sensitive computation" * } {
117              [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
118              [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
119           }
120         ]
121         [ { "local env. ref. for abstract candidates of reducibility" * } {
122              [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drop" + "lsubc_drops" + "lsubc_lsuba" * ]
123           }
124         ]
125         [ { "support for abstract computation properties" * } {
126              [ "acp" "acp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
127           }
128         ]
129      }
130    ]
131    class "water"
132    [ { "reduction" * } {
133         [ { "\"big tree\" parallel reduction" * } {
134              [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_aaa" * ]
135           }
136         ]
137         [ { "normal forms for context-sensitive extended reduction" * } {
138              [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
139           }
140         ]
141         [ { "context-sensitive extended reduction" * } {
142              [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_drop" + "lpx_frees" "lpx_lleq" + "lpx_aaa" * ]
143              [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_leq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
144           }
145         ]
146         [ { "irreducible forms for context-sensitive extended reduction" * } {
147              [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
148           }
149         ]
150         [ { "reducible forms for context-sensitive extended reduction" * } {
151              [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
152           }
153         ]
154         [ { "normal forms for context-sensitive reduction" * } {
155              [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
156           }
157         ]
158         [ { "context-sensitive reduction" * } {
159              [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_drop" + "lpr_lpr" * ]
160              [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_llpx_sn" + "cpr_cir" * ]
161           }
162         ]
163         [ { "irreducible forms for context-sensitive reduction" * } {
164              [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
165           }
166         ]
167         [ { "reducible forms for context-sensitive reduction" * } {
168              [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
169           }
170         ]
171      }
172    ]
173    class "green"
174    [ { "unfold" * } {
175         [ { "unfold" * } {
176              [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
177           }
178         ]
179         [ { "iterated static type assignment" * } {
180              [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?] ? )" "lstas_lift" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
181           }
182         ]
183      }
184    ]
185    class "grass"
186    [ { "static typing" * } {
187         [ { "local env. ref. for degree assignment" * } {
188              [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
189           }
190         ]
191         [ { "degree assignment" * } {
192              [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_sta" + "da_da" * ]
193           }
194         ]
195         [ { "static type assignment" * } {
196              [ "sta ( ⦃?,?⦄ ⊢ ? •[?] ? )" "sta_lift" + "sta_lpx_sn" + "sta_aaa" + "sta_sta" * ]
197           }
198         ]
199         [ { "parameters" * } {
200              [ "sh" "sd" * ]
201           }
202         ]
203         [ { "local env. ref. for atomic arity assignment" * } {
204              [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_aaa" + "lsuba_lsuba" * ]
205           }
206         ]
207         [ { "atomic arity assignment" * } {
208              [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_lleq" + "aaa_aaa" * ]
209           }
210         ]
211         [ { "restricted local env. ref." * } {
212              [ "lsubr ( ? ⫃ ? )" "lsubr_lsubr" * ]
213           }
214         ]
215      }
216    ]
217    class "yellow"
218    [ { "multiple substitution" * } {
219         [ { "lazy equivalence" * } {
220              [ "fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )" "fleq_fleq" * ]
221              [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_leq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
222           }
223         ]
224         [ { "lazy pointwise extension of a relation" * } {
225              [ "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" * ]
226           }
227         ]
228         [ { "pointwise union for local environments" * } {
229              [ "llor ( ? ⩖[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
230           }
231         ]
232         [ { "context-sensitive exclusion from free variables" * } {
233              [ "frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )" "frees_append" + "frees_leq" + "frees_lift" * ]
234           }
235         ]
236         [ { "contxt-sensitive extended multiple substitution" * } {
237              [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
238           }
239         ]
240         [ { "iterated structural successor for closures" * } {
241              [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
242              [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
243           }
244         ]
245         [ { "iterated local env. slicing" * } {
246              [ "drops ( ⇩*[?,?] ? ≡ ? )" "drops_drop" + "drops_drops" * ]
247           }
248         ]
249         [ { "generic term relocation" * } {
250              [ "lifts_vector ( ⇧*[?] ? ≡ ? )" "lifts_lift_vector" * ]
251              [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ]
252           }
253         ]
254         [ { "support for generic relocation" * } {
255              [ "gr2 ( @⦃?,?⦄ ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ]
256           }
257         ]
258      }
259    ]
260    class "orange"
261    [ { "substitution" * } {
262         [ { "structural successor for closures" * } {
263              [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )" * ]
264              [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" * ]
265           }
266         ]
267         [ { "global env. slicing" * } {
268              [ "gget ( ⇩[?] ? ≡ ? )" "gget_gget" * ]
269           }
270         ]
271         [ { "contxt-sensitive extended ordinary substitution" * } {
272              [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
273           }
274         ]
275         [ { "local env. ref. for extended substitution" * } {
276              [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
277           }
278         ]
279         [ { "pointwise extension of a relation" * } {
280              [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
281           }
282         ]
283         [ { "basic local env. slicing" * } {
284              [ "drop ( ⇩[?,?,?] ? ≡ ? )"  "drop_append" + "drop_leq" + "drop_drop" * ]
285           }
286         ]
287         [ { "basic term relocation" * } {
288              [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ]
289              [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_neq" + "lift_lift" * ]
290           }
291         ]
292      }
293    ]
294    class "red"
295    [ { "grammar" * } {
296         [ { "equivalence for local environments" * } {
297              [ "leq ( ? ⩬[?,?] ? )" "leq_leq" * ]
298           }
299         ]
300         [ { "same top term constructor" * } {
301              [ "tstc ( ? ≂ ? )" "tstc_tstc" + "tstc_vector" * ]
302           }
303         ]
304         [ { "closures" * } {
305              [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
306           }
307         ]
308         [ { "internal syntax" * } {
309              [ "genv" * ]
310              [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ]
311              [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
312              [ "item" * ]
313           }
314         ]
315         [ { "external syntax" * } {
316              [ "aarity" * ]
317           }
318         ]
319      }
320    ]
321 }
322
323 class "component" { 0 }
324
325 class "plane" { 1 }
326
327 class "file" { 2 * }