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    [ { "" * } {
  15         [ { "" * } {
  16              [ "" * ]
  17           }
  18         ]
  19      }
  20    ]
  21 (*
  22    [ { "higher order dynamic typing" * } {
  23         [ { "higher order native type assignment" * } {
  24              [ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
  25           }
  26         ]
  27      }
  28    ]
  29 *)
  30    class "magenta"
  31    [ { "dynamic typing" * } {
  32 (*
  33         [ { "local env. ref. for native type assignment" * } {
  34              [ "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "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_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_scpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
  44           }
  45         ]
  46         [ { "stratified native validity" * } {
  47              [ "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
  48              [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_fsb" + "snv_scpes" + "snv_preserve" * ]
  49           }
  50         ]
  51      }
  52    ]
  53    class "prune"
  54    [ { "equivalence" * } {
  55         [ { "decomposed rt-equivalence" * } {
  56              [ "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
  57           }
  58         ]
  59         [ { "context-sensitive equivalence" * } {
  60              [ "cpcs ( ⦃?,?⦄ ⊢ ? ⬌* ? )" "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" * ]
  61           }
  62         ]
  63      }
  64    ]
  65    class "blue"
  66    [ { "conversion" * } {
  67         [ { "context-sensitive conversion" * } {
  68              [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ]
  69           }
  70         ]
  71      }
  72    ]
  73 *)
  74    class "sky"
  75    [ { "rt-computation" * } {
  76 (*
  77         [ { "evaluation for context-sensitive rt-reduction" * } {
  78              [ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
  79           }
  80         ]
  81         [ { "evaluation for context-sensitive reduction" * } {
  82              [ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
  83           }
  84         ]
  85         [ { "strongly normalizing qrst-computation" * } {
  86              [ "fsb ( ⦥[?,?] ⦃?,?,?⦄ )" "fsb_alt ( ⦥⦥[?,?] ⦃?,?,?⦄ )" "fsb_aaa" + "fsb_csx" * ]
  87           }
  88         ]
  89         [ { "strongly normalizing rt-computation" * } {
  90              [ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ]
  91              [ "lsx ( ? ⊢ ⬊*[?,?,?,?] ? )" "lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )" "lsx_drop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ]
  92              [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_theq_vector" + "csx_aaa" * ]
  93              [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
  94           }
  95         ]
  96         [ { "parallel qrst-computation" * } {
  97              [ "fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbs" + "fpbg_fpbg" * ]
  98              [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpb" + "fpbs_fpbs" * ]
  99           }
 100         ]
 101         [ { "decomposed rt-computation" * } {
 102              [ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
 103           }
 104         ]
 105         [ { "context-sensitive computation" * } {
 106              [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
 107              [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
 108           }
 109         ]
 110 *)
 111         [ { "uncounted context-sensitive rt-computation" * } {
 112 (*
 113              [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
 114              [ "cpxs_lreq" + "cpxs_lleq" + "cpxs_aaa" * ]
 115 *)
 116              [ "csx_vector ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )"  * ]
 117              [ "csx ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_simple" + "csx_theq" + "csx_drops" +  "csx_lsubr" + "csx_gcp" + "csx_lfpx" + "csx_cnx" + "csx_cpxs" + "csx_csx" * ]
 118              [ "lfpxs ( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )" "lfpxs_length" + "lfpxs_fqup" + "lfpxs_cpxs" * ]
 119              [ "cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" "cpxs_tdeq" + "cpxs_theq" + "cpxs_theq_vector" + "cpxs_drops" + "cpxs_lsubr" + "cpxs_lfpx" + "cpxs_cnx" + "cpxs_cpxs" * ]
 120           }
 121         ]
 122      }
 123    ]
 124    class "cyan"
 125    [ { "rt-transition" * } {
 126         [ { "parallel rst-transition" * } {
 127              [ "fpbq ( ⦃?,?,?⦄ ≽[?] ⦃?,?,?⦄ )" "fpbq_aaa" * ]
 128              [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lfdeq" * ]
 129           }
 130         ]
 131         [ { "t-bound context-sensitive rt-transition" * } {
 132              [ "lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fquq" + "lfpr_fqup" + "lfpr_frees" + "lfpr_aaa" + "lfpr_lfpx" + "lfpr_lfpr" * ]
 133              [ "cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" * ]
 134              [ "cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_lfxs" + "cpm_cpx" * ]
 135           }
 136         ]
 137         [ { "uncounted context-sensitive rt-transition" * } {
 138              [ "cnx ( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )" "cnx_simple" + "cnx_drops" + "cnx_cnx" * ]
 139              [ "lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_drops" + "lfpx_fqup" + "lfpx_frees" + "lfpx_lfdeq" + "lfpx_aaa" + "lfpx_lfpx" * ]
 140              [ "cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_fqus" + "cpx_lsubr" + "cpx_lfxs" * ]
 141           }
 142         ]
 143         [ { "counted context-sensitive rt-transition" * } {
 144              [ "cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
 145           }
 146         ]
 147      }
 148    ]
 149    class "water"
 150    [ { "iterated static typing" * } {
 151         [ { "iterated extension on referred entries" * } {
 152              [ "tc_lfxs ( ? ⦻**[?,?] ? )" * ]
 153           }
 154         ]
 155      }
 156    ]
 157    class "green"
 158    [ { "static typing" * } {
 159         [ { "generic reducibility" * } {
 160              [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drops" + "lsubc_lsubr" + "lsubc_lsuba" * ]
 161              [ "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
 162              [ "gcp" *]
 163           }
 164         ]
 165         [ { "atomic arity assignment" * } {
 166              [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
 167              [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfdeq" + "aaa_aaa" * ]
 168           }
 169         ]
 170         [ { "degree-based equivalence on referred entries" * } {
 171              [ "ffdeq ( ⦃?,?,?⦄ ≡[?,?] ⦃?,?,?⦄ )" "ffdeq_fqup" + "ffdeq_ffdeq" * ]
 172              [ "lfdeq ( ? ≡[?,?,?] ? )" "lfdeq_length" + "lfdeq_drops" + "lfdeq_fqup" + "lfdeq_fqus" + "lfdeq_lfdeq" * ]
 173           }
 174         ]
 175         [ { "generic extension on referred entries" * } {
 176              [ "lfxs ( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_drops" + "lfxs_fqup" + "lfxs_lfxs" * ]
 177           }
 178         ]
 179         [ { "context-sensitive free variables" * } {
 180              [ "lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )" "lsubf_frees" * ]
 181              [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_drops" + "frees_fqup" + "frees_frees" * ]
 182           }
 183         ]
 184         [ { "restricted ref. for local env." * } {
 185              [ "lsubr ( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
 186           }
 187         ]
 188      }
 189    ]
 190    class "grass"
 191    [ { "s-computation" * } {
 192         [ { "iterated structural successor for closures" * } {
 193              [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_weight" + "fqus_drops" + "fqus_fqup" + "fqus_fqus" * ]
 194              [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_weight" + "fqup_drops" + "fqup_fqup" * ]
 195           }
 196         ]
 197      }
 198    ]
 199    class "yellow"
 200    [ { "s-transition" * } {
 201         [ { "structural successor for closures" * } {
 202              [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_length" + "fquq_weight" * ]
 203              [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" "fqu_length" + "fqu_weight" * ]
 204           }
 205         ]
 206      }
 207    ]
 208    class "orange"
 209    [ { "relocation" * } {
 210         [ { "generic slicing for local environments" * } {
 211              [ "drops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" * ]
 212              [ "drops ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" "drops_lstar" + "drops_weight" + "drops_length" + "drops_ceq" + "drops_lexs" + "drops_lreq" + "drops_drops" * ]
 213           }
 214         ]
 215         [ { "generic relocation for terms" * } {
 216              [ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lifts_vector" * ]
 217              [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_tdeq" + "lifts_lifts" * ]
 218           }
 219         ]
 220         [ { "ranged equivalence for local environments" * } {
 221              [ "lreq ( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
 222           }
 223         ]
 224         [ { "generic entrywise extension" * } {
 225              [ "lexs ( ? ⦻*[?,?,?] ? )" "lexs_length" + "lexs_lexs" * ]
 226           }
 227         ]
 228      }
 229    ]
 230    class "red"
 231    [ { "syntax" * } {
 232         [ { "append for local environments" * } {
 233              [ "append ( ? @@ ? )" "append_length" * ]
 234           }
 235         ]
 236         [ { "head equivalence for terms" * } {
 237              [ "theq ( ? ⩳[?,?] ? )" "theq_simple" + "theq_tdeq" + "theq_theq" + "theq_simple_vector" * ]
 238           }
 239         ]
 240         [ { "degree-based equivalence for terms" * } {
 241              [ "deq ( ? ≡[?,?] ? ) " "deq_deq" * ]
 242           }
 243         ]
 244         [ { "closures" * } {
 245              [ "cl_weight ( ♯{?,?,?} )" * ]
 246              [ "cl_restricted_weight ( ♯{?,?} )" * ]
 247           }
 248         ]
 249         [ { "global environments" * } {
 250              [ "genv" * ]
 251           }
 252         ]
 253         [ { "local environments" * } {
 254              [ "lenv_length ( |?| )" * ]
 255              [ "lenv_weight ( ♯{?} )" * ]
 256              [ "lenv" * ]
 257           }
 258         ]
 259         [ { "terms" * } {
 260              [ "term_vector ( Ⓐ?.? )" * ]
 261              [ "term_simple ( 𝐒⦃?⦄ )"  * ]
 262              [ "term_weight ( ♯{?} )" * ]
 263              [ "term" * ]
 264           }
 265         ]
 266         [ { "items" * } {
 267              [ "item_sd" * ]
 268              [ "item_sh" * ]
 269              [ "item" * ]
 270           }
 271         ]
 272         [ { "atomic arities" * } {
 273              [ "aarity" * ]
 274           }
 275         ]
 276      }
 277    ]
 278 }
 279
 280 class "top"               { * }
 281
 282 class "capitalize italic" { 0 }
 283
 284 class "italic"            { 1 }
 285 (*
 286         [ { "normal forms for context-sensitive rt-reduction" * } {
 287              [ "cnx_crx" + "cnx_cix" * ]
 288           }
 289         ]
 290         [ { "irreducible forms for context-sensitive rt-reduction" * } {
 291              [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
 292           }
 293         ]
 294         [ { "reducible forms for context-sensitive rt-reduction" * } {
 295              [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
 296           }
 297         ]
 298         [ { "normal forms for context-sensitive reduction" * } {
 299              [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
 300           }
 301         ]
 302         [ { "irreducible forms for context-sensitive reduction" * } {
 303              [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
 304           }
 305         ]
 306         [ { "reducible forms for context-sensitive reduction" * } {
 307              [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
 308           }
 309         ]
 310         [ { "unfold" * } {
 311              [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
 312           }
 313         ]
 314         [ { "iterated static type assignment" * } {
 315              [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
 316           }
 317         ]
 318         [ { "local env. ref. for degree assignment" * } {
 319              [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
 320           }
 321         ]
 322         [ { "degree assignment" * } {
 323              [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
 324           }
 325         ]
 326         [ { "context-sensitive multiple rt-substitution" * } {
 327              [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
 328           }
 329         ]
 330         [ { "pointwise union for local environments" * } {
 331              [ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
 332           }
 333         ]
 334         [ { "lazy pointwise extension of a relation" * } {
 335              [ "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" * ]
 336           }
 337         ]
 338         [ { "global env. slicing" * } {
 339              [ "gget ( ⬇[?] ? ≡ ? )" "gget_gget" * ]
 340           }
 341         ]
 342         [ { "context-sensitive ordinary rt-substitution" * } {
 343              [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
 344           }
 345         ]
 346         [ { "local env. ref. for rt-substitution" * } {
 347              [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
 348           }
 349         ]
 350         [ { "pointwise extension of a relation" * } {
 351              [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
 352           }
 353         ]
 354              [ "cpx_lreq" + "cpr_cir" + "fpb_lift" + "fpbq_lift" ]
 355              [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
 356 *)