]> matita.cs.unibo.it Git - helm.git/blob - matita/matita/contribs/lambdadelta/basic_2/web/basic_2_src.tbl
lfpx_drops completed!
[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 (*
13    class "wine"
14    [ { "examples" * } {
15         [ { "terms with special features" * } {
16              [ "ex_sta_ldec" + "ex_cpr_omega" + "ex_fpbg_refl" + "ex_snv_eta" * ]
17           }
18         ]
19      }
20    ]
21    class "magenta"
22    [ { "" * } {
23         [ { "" * } {
24              [ "" * ]
25           }
26         ]
27      }
28    ]
29 (*   
30    [ { "higher order dynamic typing" * } {
31         [ { "higher order native type assignment" * } {
32              [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
33           }
34         ]
35      }
36    ]
37 *)
38    class "prune"
39    [ { "dynamic typing" * } {
40 (*
41         [ { "local env. ref. for native type assignment" * } {
42              [ "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
43           }
44         ]
45         [ { "native type assignment" * } {
46              [ "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ]
47           }
48         ]
49 *)
50         [ { "local env. ref. for stratified native validity" * } {
51              [ "lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )" "lsubsv_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_scpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
52           }
53         ]
54         [ { "stratified native validity" * } {
55              [ "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
56              [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_fsb" + "snv_scpes" + "snv_preserve" * ]
57           }
58         ]
59      }
60    ]
61    class "blue"
62    [ { "equivalence" * } {
63         [ { "decomposed rt-equivalence" * } {
64              [ "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
65           }
66         ]
67         [ { "context-sensitive equivalence" * } {
68              [ "cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )" "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ]
69           }
70         ]
71      }
72    ]
73    class "sky"
74    [ { "conversion" * } {
75         [ { "context-sensitive conversion" * } {
76              [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ]
77           }
78         ]
79      }
80    ]
81    class "cyan"
82    [ { "computation" * } {
83         [ { "evaluation for context-sensitive rt-reduction" * } {
84              [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
85           }
86         ]
87         [ { "evaluation for context-sensitive reduction" * } {
88              [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
89           }
90         ]
91         [ { "strongly normalizing qrst-computation" * } {
92              [ "fsb ( ⦥[?,?] ⦃?,?,?⦄ )" "fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )" "fsb_aaa" + "fsb_csx" * ]
93           }
94         ]
95         [ { "strongly normalizing rt-computation" * } {
96              [ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ]
97              [ "lsx ( ? ⊢ ⬊*[?,?,?,?] ? )" "lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )" "lsx_drop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ]
98              [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tsts_vector" + "csx_aaa" * ]
99              [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
100           }
101         ]
102         [ { "parallel qrst-computation" * } {
103              [ "fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbs" + "fpbg_fpbg" * ]
104              [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpb" + "fpbs_fpbs" * ]
105           }
106         ]
107         [ { "decomposed rt-computation" * } {
108              [ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
109           }
110         ]
111         [ { "context-sensitive rt-computation" * } {
112              [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
113              [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tsts" + "cpxs_tsts_vector" + "cpxs_lreq" + "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 generic reducibility" * } {
122              [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drop" + "lsubc_drops" + "lsubc_lsuba" * ]
123           }
124         ]
125         [ { "support for generic computation properties" * } {
126              [ "gcp" "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
127           }
128         ]
129      }
130    ]
131 *)
132    class "water"
133    [ { "rt-transition" * } {
134 (*
135         [ { "parallel qrst-reduction" * } {
136              [ "fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )" "fpbq_lift" + "fpbq_aaa" * ]
137              [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_lleq" + "fpb_fleq" * ]
138           }
139         ]
140         [ { "context-sensitive rt-reduction" * } {
141              [ "lpx_drop" + "lpx_frees" + "lpx_lleq" + "lpx_aaa" * ]
142              [ "cpx_lreq" + "cpx_fqus" + "cpx_llpx_sn" + "cpx_lleq" * ]
143           }
144         ]
145         [ { "context-sensitive reduction" * } {
146              [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_drop" + "lpr_lpr" * ]
147              [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_llpx_sn" + "cpr_cir" * ]
148           }
149         ]
150 *)
151         [ { "uncounted context-sensitive rt-transition" * } {
152              [ "lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_drops" + "lfpx_fqup" * ]
153              [ "cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_lsubr" * ]
154           }
155         ]
156         [ { "counted context-sensitive rt-transition" * } {
157              [ "cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
158           }
159         ]
160      }
161    ]
162    class "green"
163    [ { "static typing" * } {
164         [ { "parameters" * } {
165              [ "sh" "sd" * ]
166           }
167         ]
168         [ { "restricted ref. for atomic arity assignment" * } {
169              [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
170           }
171         ]
172         [ { "atomic arity assignment" * } {
173              [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfeq" + "aaa_aaa" * ]
174           }
175         ]
176         [ { "restricted ref. for local env." * } {
177              [ "lsubr ( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
178           }
179         ]
180         [ { "equivalence for closures on referred entries" * } {
181              [ "ffeq ( ⦃?,?,?⦄ ≡ ⦃?,?,?⦄ )" "ffeq_freq" * ]
182           }
183         ]
184         [ { "equivalence for local environments on referred entries" * } {
185              [ "lfeq ( ? ≡[?] ? )" "lfeq_length" + "lfeq_lreq" + "lfeq_fqup" + "lfeq_lfeq" * ]
186           }
187         ]
188         [ { "generic extension on referred entries" * } {
189              [ "lfxs ( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_drops" + "lfxs_fqup" + "lfxs_lfxs" * ]
190           }
191         ]
192         [ { "context-sensitive free variables" * } {
193              [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_weight" + "frees_lreq" + "frees_drops" + "frees_frees" * ]
194           }
195         ]
196      }
197    ]
198    class "grass"
199    [ { "s-computation" * } {
200         [ { "iterated structural successor for closures" * } {
201              [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_weight" + "fqus_drops" + "fqus_fqup" + "fqus_fqus" * ]
202              [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_weight" + "fqup_drops" + "fqup_fqup" * ]
203           }
204         ]
205      }
206    ]
207    class "yellow"
208    [ { "s-transition" * } {
209         [ { "structural successor for closures" * } {
210              [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_length" + "fquq_weight" * ]
211              [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" "fqu_length" + "fqu_weight" * ]
212           }
213         ]
214      }
215    ]
216    class "orange"
217    [ { "relocation" * } {
218         [ { "generic slicing for local environments" * } {
219              [ "drops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" * ]
220              [ "drops ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" "drops_lstar" + "drops_weight" + "drops_length" + "drops_ceq" + "drops_lexs" + "drops_lreq" + "drops_drops" * ]
221           }
222         ]
223         [ { "generic relocation for terms" * } {
224              [ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lifts_vector" * ]
225              [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_lifts" * ]
226           }
227         ]
228         [ { "ranged equivalence for local environments" * } {
229              [ "lreq ( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
230           }
231         ]
232         [ { "generic entrywise extension" * } {
233              [ "lexs ( ? ⦻*[?,?,?] ? )" "lexs_length" + "lexs_lexs" * ]
234           }
235         ]
236      }
237    ]
238    class "red"
239    [ { "grammar" * } {
240         [ { "append for local environments" * } {
241              [ "append ( ? @@ ? )" "append_length" * ]
242           }
243         ]
244         [ { "context-sensitive equivalences for terms" * } {
245              [ "ceq" "ceq_ceq" * ]
246           }
247         ]
248         [ { "same top term structure" * } {
249              [ "tsts ( ? ≂ ? )" "tsts_tsts" + "tsts_vector" * ]
250           }
251         ]
252         [ { "closures" * } {
253              [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
254           }
255         ]
256         [ { "internal syntax" * } {
257              [ "genv" * ]
258              [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" * ]
259              [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector ( Ⓐ?.? )" * ]
260              [ "item" * ]
261           }
262         ]
263         [ { "external syntax" * } {
264              [ "aarity" * ]
265           }
266         ]
267      }
268    ]
269 }
270
271 class "top"               { * }
272
273 class "capitalize italic" { 0 }
274
275 class "italic"            { 1 }
276 (*
277         [ { "normal forms for context-sensitive rt-reduction" * } {
278              [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
279           }
280         ]
281         [ { "irreducible forms for context-sensitive rt-reduction" * } {
282              [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
283           }
284         ]
285         [ { "reducible forms for context-sensitive rt-reduction" * } {
286              [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
287           }
288         ]
289         [ { "normal forms for context-sensitive reduction" * } {
290              [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
291           }
292         ]
293         [ { "irreducible forms for context-sensitive reduction" * } {
294              [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
295           }
296         ]
297         [ { "reducible forms for context-sensitive reduction" * } {
298              [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
299           }
300         ]
301         [ { "unfold" * } {
302              [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
303           }
304         ]
305         [ { "iterated static type assignment" * } {
306              [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
307           }
308         ]
309         [ { "local env. ref. for degree assignment" * } {
310              [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
311           }
312         ]
313         [ { "degree assignment" * } {
314              [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
315           }
316         ]
317         [ { "context-sensitive multiple rt-substitution" * } {
318              [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
319           }
320         ]
321         [ { "pointwise union for local environments" * } {
322              [ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
323           }
324         ]
325         [ { "lazy pointwise extension of a relation" * } {
326              [ "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" * ]
327           }
328         ]
329         [ { "global env. slicing" * } {
330              [ "gget ( ⬇[?] ? ≡ ? )" "gget_gget" * ]
331           }
332         ]
333         [ { "context-sensitive ordinary rt-substitution" * } {
334              [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
335           }
336         ]
337         [ { "local env. ref. for rt-substitution" * } {
338              [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
339           }
340         ]
341         [ { "pointwise extension of a relation" * } {
342              [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
343           }
344         ]
345              [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
346 *)