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[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         [ { "section" * } {
7              [ [ "plane" ] "files" * ]
8           }
9         ]
10      }
11    ]
12    class "wine"
13    [ { "iterated dynamic typing" * } {
14         [ { "context-sensitive iterated native type assignment" * } {
15              [ [ "for terms" ] "ntas" + "( ❨?,?❩ ⊢ ? :*[?,?,?] ? )" "ntas_cpcs" + "ntas_nta" + "ntas_nta_ind" + " ntas_ntas" + "ntas_preserve" * ]
16           }
17         ]
18      }
19    ]
20    class "magenta"
21    [ { "dynamic typing" * } {
22         [ { "context-sensitive native type assignment" * } {
23              [ [ "for terms" ] "nta" + "( ❨?,?❩ ⊢ ? :[?,?] ? )" "nta_drops" + "nta_aaa" + "nta_fsb" + "nta_cpms" + "nta_cpcs" + "nta_preserve" + "nta_preserve_cpcs" + "nta_ind" + "nta_eval" * ]
24           }
25         ]
26         [ { "context-sensitive native validity" * } {
27              [ [ "restricted refinement for lenvs" ] "lsubv ( ? ⊢ ? ⫃![?,?] ? )" "lsubv_drops" + "lsubv_lsubr" + "lsubv_lsuba" + "lsubv_cpms" + "lsubv_cpcs" + "lsubv_cnv" + "lsubv_lsubv" * ]
28              [ [ "for terms" ] "cnv" + "( ❨?,?❩ ⊢ ? ![?,?] )" "cnv_acle" + "cnv_drops" + "cnv_fqus" + "cnv_aaa" + "cnv_fsb" + "cnv_cpm_trans" + "cnv_cpm_conf" + "cnv_cpm_teqx" + "cnv_cpm_teqx_trans" + "cnv_cpm_teqx_conf" + "cnv_cpms_teqx" + "cnv_cpms_conf" + "cnv_cpms_teqx_conf" + "cnv_cpmre" + "cnv_cpmuwe" + "cnv_cpmuwe_cpmre" + "cnv_cpts" + "cnv_cpes" + "cnv_cpcs" + "cnv_preserve_sub" + "cnv_preserve" + "cnv_preserve_cpes" + "cnv_preserve_cpcs" + "cnv_eval" * ]
29           }
30         ]
31      }
32    ]
33    class "prune"
34    [ { "rt-equivalence" * } {
35         [ { "context-sensitive parallel r-equivalence" * } {
36              [ [ "for terms" ] "cpcs ( ❨?,?❩ ⊢ ? ⬌*[?] ? )" "cpcs_drops" + "cpcs_lsubr" + "cpcs_aaa" + "cpcs_csx" + "cpcs_cprs" + "cpcs_lprs" + "cpcs_cpc" + "cpcs_cpcs" * ]
37           }
38         ]
39         [ { "t-bound context-sensitive parallel rt-equivalence" * } {
40              [ [ "for terms" ] "cpes ( ❨?,?❩ ⊢ ? ⬌*[?,?,?] ? )" "cpes_aaa" + "cpes_cpms" + "cpes_cpes" * ]
41           }
42         ]
43      }
44    ]
45    class "blue"
46    [ { "rt-conversion" * } {
47 (*
48         [ { "context-sensitive parallel eta-conversion" * } {
49              [ [ "for lenvs on all entries" ] "lpce ( ❨?,?❩ ⊢ ⬌η[?] ? )" "lpce_drops" * ]
50              [ [ "for binders" ] "cpce_ext" + "( ❨?,?❩ ⊢ ? ⬌η[?] ? )" * ]
51              [ [ "for terms" ] "cpce" + "( ❨?,?❩ ⊢ ? ⬌η[?] ? )" "cpce_drops" * ]
52           }
53         ]
54 *)
55         [ { "context-sensitive parallel r-conversion" * } {
56              [ [ "for terms" ] "cpc" + "( ❨?,?❩ ⊢ ? ⬌[?] ? )" "cpc_cpc" * ]
57           }
58         ]
59      }
60    ]
61    class "sky"
62    [ { "rt-computation" * } {
63         [ { "context-sensitive parallel t-computation" * } {
64              [ [ "for terms" ] "cpts" + "( ❨?,?❩ ⊢ ? ⬆*[?,?] ? )" "cpts_drops" + "cpts_aaa" + "cpts_cpms" * ]
65           }
66         ]
67         [ { "context-sensitive parallel r-computation" * } {
68              [ [ "evaluation for terms" ] "cprre" "cprre_csx" + "cprre_cpms" + "cprre_cprre" * ]
69              [ [ "for lenvs on all entries" ] "lprs ( ❨?,?❩ ⊢ ➡*[?,?] ? )" "lprs_tc" + "lprs_ctc" + "lprs_length" + "lprs_drops" + "lprs_aaa" + "lprs_lpr" + "lprs_lpxs" + "lprs_cpms" + "lprs_cprs" + "lprs_lprs" * ]
70              [ [ "for binders" ] "cprs_ext" + "( ❨?,?❩ ⊢ ? ➡*[?,?] ?)" * ]
71              [ [ "for terms" ] "cprs" "cprs_ctc" + "cprs_teqw" + "cprs_drops" + "cprs_cpr" + "cprs_lpr" + "cprs_cnr" + "cprs_cprs" * ]
72           }
73         ]
74         [ { "t-bound context-sensitive parallel rt-computation" * } {
75              [ [ "t-unbound whd evaluation for terms" ] "cpmuwe ( ❨?,?❩ ⊢ ? ➡*𝐍𝐖*[?,?] ? )" "cpmuwe_csx" + "cpmuwe_cpmuwe" * ]
76              [ [ "t-unbound whd normal form for terms" ] "cnuw ( ❨?,?❩ ⊢ ➡𝐍𝐖*[?] ? )" "cnuw_drops" + "cnuw_simple" + "cnuw_cnuw" * ]
77              [ [ "t-bpund evaluation for terms" ] "cpmre ( ❨?,?❩ ⊢ ? ➡*𝐍[?,?] ? )" "cpmre_aaa" * ]
78              [ [ "for terms" ] "cpms" + "( ❨?,?❩ ⊢ ? ➡*[?,?] ? )" "cpms_drops" + "cpms_lsubr" + "cpms_reqg" + "cpms_aaa" + "cpms_lpr" + "cpms_cpxs" + "cpms_fpbs" + "cpms_fpbg" + "cpms_cpms" * ]
79           }
80         ]
81         [ { "extended context-sensitive parallel rst-computation" * } {
82              [ [ "strongly normalizing for closures" ] "fsb" + "( ≥𝐒 ❨?,?,?❩ )" "fsb_feqg" + "fsb_aaa" + "fsb_csx" + "fsb_fpbg" * ]
83              [ [ "proper for closures" ] "fpbg" + "( ❨?,?,?❩ > ❨?,?,?❩ )" "fpbg_fqup" + "fpbg_fqus" + "fpbg_feqg" + "fpbg_cpm" + "fpbg_cpxs" + "fpbg_lpxs" + "fpbg_fpbs" + "fpbg_fpbg" * ]
84              [ [ "for closures" ] "fpbs" + "( ❨?,?,?❩ ≥ ❨?,?,?❩ )" "fpbs_fqup" + "fpbs_fqus" + "fpbs_feqg" + "fpbs_aaa" + "fpbs_cpx" + "fpbs_fpbc" + "fpbs_cpxs" + "fpbs_lpxs" + "fpbs_csx" + "fpbs_fpbs" * ]
85           }
86         ]
87         [ { "extended context-sensitive parallel rt-computation" * } {
88              [ [ "compatibility for lenvs" ] "jsx" + "( ? ⊢ ? ⊒ ? )" "jsx_drops" + "jsx_lsubr" + "jsx_csx" + "jsx_rsx" + "jsx_jsx" * ]
89              [ [ "strongly normalizing for lenvs on referred entries" ] "rsx" + "( ? ⊢ ⬈*𝐒[?] ? )" "rsx_length" + "rsx_drops" + "rsx_fqup" + "rsx_cpxs" + "rsx_csx" + "rsx_rsx" * ]
90              [ [ "strongly normalizing for term vectors" ] "csx_vector" + "( ❨?,?❩ ⊢ ⬈*𝐒 ? )" "csx_cnx_vector" + "csx_csx_vector" * ]
91              [ [ "strongly normalizing for terms" ] "csx" + "( ❨?,?❩ ⊢ ⬈*𝐒 ? )" "csx_simple" + "csx_simple_teqo" + "csx_drops" + "csx_fqus" + "csx_lsubr" + "csx_reqg" + "csx_feqg" + "csx_aaa" + "csx_gcp" + "csx_gcr" + "csx_lpx" + "csx_cnx" + "csx_fpb" + "csx_cpxs" + "csx_lpxs" + "csx_csx" * ]
92              [ [ "for lenvs on all entries" ] "lpxs" + "( ❨?,?❩ ⊢ ⬈* ? )" "lpxs_length" + "lpxs_drops" + "lpxs_reqg" + "lpxs_feqg" + "lpxs_aaa" + "lpxs_lpx" + "lpxs_cpxs" + "lpxs_lpxs" * ]
93              [ [ "for binders" ] "cpxs_ext" + "( ❨?,?❩ ⊢ ? ⬈* ? )" * ]
94              [ [ "for terms" ] "cpxs" + "( ❨?,?❩ ⊢ ? ⬈* ? )" "cpxs_teqg" + "cpxs_teqo" + "cpxs_teqo_vector" + "cpxs_drops" + "cpxs_fqus" + "cpxs_lsubr" + "cpxs_reqg" + "cpxs_feqg" + "cpxs_aaa" + "cpxs_lpx" + "cpxs_cnx" + "cpxs_cpxs" * ]
95           }
96         ]
97      }
98    ]
99    class "cyan"
100    [ { "rt-transition" * } {
101         [ { "context-sensitive parallel t-transition" * } {
102              [ [ "for terms" ] "cpt" + "( ❨?,?❩ ⊢ ? ⬆[?,?] ? )" "cpt_drops" + "cpt_fqu" + "cpt_cpm" * ]
103           }
104         ]
105         [ { "context-sensitive parallel r-transition" * } {
106              [ [ "normal form for terms" ] "cnr ( ❨?,?❩ ⊢ ➡𝐍[?,?] ? )" "cnr_simple" + "cnr_teqg" + "cnr_teqx" + "cnr_drops" * ]
107              [ [ "for lenvs on all entries" ] "lpr" + "( ❨?,?❩ ⊢ ➡[?,?] ? )" "lpr_length" + "lpr_drops" + "lpr_fquq" + "lpr_aaa" + "lpr_lpx" + "lpr_fpb" + "lpr_fpbc" + "lpr_lpr" * ]
108              [ [ "for binders" ] "cpr_ext" * ]
109              [ [ "for terms" ] "cpr" "cpr_drops" + "cpr_drops_basic" + "cpr_teqg" + "cpr_cpr" * ]
110           }
111         ]
112         [ { "t-bound context-sensitive parallel rt-transition" * } {
113              [ [ "for terms" ] "cpm" + "( ❨?,?❩ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_teqx" + "cpm_drops" + "cpm_lsubr" + "cpm_fsle" + "cpm_aaa" + "cpm_cpx" + "cpm_fpb" + "cpm_fpbc" * ]
114           }
115         ]
116         [ { "extended parallel rst-transition" * } {
117              [ [ "proper for closures" ] "fpbc" + "( ❨?,?,?❩ ≻ ❨?,?,?❩ )" "fpbc_fqup" + "fpbc_feqg" + "fpbc_lpx" + "fpbc_fpb" * ]
118              [ [ "for closures" ] "fpb" + "( ❨?,?,?❩ ≽ ❨?,?,?❩ )" "fpb_fqup" + "fpb_feqg" + "fpb_aaa" + "fpb_lpx" * ]
119           }
120         ]
121         [ { "extended context-sensitive parallel rt-transition" * } {
122              [ [ "normal form for terms" ] "cnx" + "( ❨?,?❩ ⊢ ⬈𝐍 ? )" "cnx_simple" + "cnx_drops" + "cnx_basic" + "cnx_cnx" * ]
123              [ [ "for lenvs on referred entries" ] "rpx" + "( ❨?,?❩ ⊢ ⬈[?] ? )" "rpx_length" + "rpx_drops" + "rpx_fqup" + "rpx_fsle" + "rpx_reqg" + "rpx_reqx" + "rpx_lpx" + "rpx_rpx" * ]
124              [ [ "for lenvs on all entries" ] "lpx" + "( ❨?,?❩ ⊢ ⬈ ? )" "lpx_length" + "lpx_drops" + "lpx_fquq" + "lpx_fsle" + "lpx_reqg" + "lpx_aaa" * ]
125              [ [ "for binders" ] "cpx_ext" + "( ❨?,?❩ ⊢ ? ⬈ ? )" * ]
126              [ [ "for terms" ] "cpx" + "( ❨?,?❩ ⊢ ? ⬈ ? )" "cpx_simple" + "cpx_drops" + "cpx_drops_basic" + "cpx_fqus" + "cpx_lsubr" + "cpx_req" + "cpx_reqg" + "cpx_feqg" * ]
127           }
128         ]
129         [ { "bound context-sensitive parallel rt-transition" * } {
130              [ [ "for terms" ] "cpg" + "( ❨?,?❩ ⊢ ? ⬈[?,?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
131           }
132         ]
133      }
134    ]
135 }
136
137 class "top"               { * }
138
139 class "capitalize italic" { 0 1 }
140
141 class "italic"            { 2 }
142 (*
143
144         [ { "local env. ref. for native type assignment" * } {
145              [ [ "" ] "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
146           }
147         ]
148              [ [ "" ] "shnv ( ❨?,?❩ ⊢ ? ¡[?,?,?] )" * ]
149         [ { "decomposed rt-equivalence" * } {
150              "scpes_cpcs" + "scpes_scpes"
151           }
152         ]
153         [ [ "for lenvs on referred entries" ] "rpxs" + "( ❨?,?❩ ⊢ ⬈*[?,?] ? )" "rpxs_length" + "rpxs_drops" + "rpxs_fqup" + "rpxs_reqx" + "rpxs_feqx" + "rpxs_aaa" + "rpxs_cpxs" + "rpxs_lpxs" + "rpxs_rpxs" * ]
154         [ [ "for lenvs on referred entries" ]
155               "lfpr" + "( ❨?,?❩ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fquq" + "lfpr_fqup" + "lfpr_aaa" + "lfpr_rpx" + "lfpr_lfpr" * ]
156         [ { "evaluation for context-sensitive rt-reduction" * } {
157              [ [ "" ] "cpxe ( ❨?,?❩ ⊢ ➡*[?,?] 𝐍❨?❩ )" * ]
158           }
159         ]
160         [ { "normal forms for context-sensitive rt-reduction" * } {
161              [ [ "" ] "cnx_crx" + "cnx_cix" * ]
162           }
163         ]
164         [ { "irreducible forms for context-sensitive rt-reduction" * } {
165              [ [ "" ] "cix ( ❨?,?❩ ⊢ ➡[?,?] 𝐈❨?❩ )" "cix_lift" * ]
166           }
167         ]
168         [ { "reducible forms for context-sensitive rt-reduction" * } {
169              [ [ "" ] "crx ( ❨?,?❩ ⊢ ➡[?,?] 𝐑❨?❩ )" "crx_lift" * ]
170           }
171         ]
172         [ { "normal forms for context-sensitive reduction" * } {
173              "cnr_crr" + "cnr_cir"
174           }
175         ]
176         [ { "irreducible forms for context-sensitive reduction" * } {
177              [ [ "" ] "cir ( ❨?,?❩ ⊢ ➡ 𝐈❨?❩ )" "cir_lift" * ]
178           }
179         ]
180         [ { "reducible forms for context-sensitive reduction" * } {
181              [ [ "" ] "crr ( ❨?,?❩ ⊢ ➡ 𝐑❨?❩ )" "crr_lift" * ]
182           }
183         ]
184         [ { "unfold" * } {
185              [ [ "" ] "unfold ( ❨?,?❩ ⊢ ? ⧫* ? )" * ]
186           }
187         ]
188         [ { "iterated static type assignment" * } {
189              [ [ "" ] "lstas ( ❨?,?❩ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
190           }
191         ]
192         [ { "local env. ref. for degree assignment" * } {
193              [ [ "" ] "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
194           }
195         ]
196         [ { "degree assignment" * } {
197              [ [ "" ] "da ( ❨?,?❩ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
198           }
199         ]
200         [ { "context-sensitive multiple rt-substitution" * } {
201              [ [ "" ] "cpys ( ❨?,?❩ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ❨?,?❩ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
202           }
203         ]
204         [ { "global env. slicing" * } {
205              [ [ "" ] "gget ( ⇩[?] ? ≘ ? )" "gget_gget" * ]
206           }
207         ]
208         [ { "context-sensitive ordinary rt-substitution" * } {
209              [ [ "" ] "cpy ( ❨?,?❩ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
210           }
211         ]
212         [ { "local env. ref. for rt-substitution" * } {
213              [ [ "" ] "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
214           }
215         ]
216 *)