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 *)
  66    class "blue"
  67    [ { "rt-conversion" * } {
  68         [ { "context-sensitive r-conversion" * } {
  69              [ "cpc ( ⦃?,?⦄ ⊢ ? ⬌[?] ? )" "cpc_cpc" * ]
  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              [ "llsx_csx" * ]
  91              [ "csx_fpbs" * ]
  92           }
  93         ]
  94         [ { "parallel qrst-computation" * } {
  95              [ "fpbg ( ⦃?,?,?⦄ >≛[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbs" + "fpbg_fpbg" * ]
  96              [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpb" + "fpbs_fpbs" * ]
  97           }
  98         ]
  99         [ { "decomposed rt-computation" * } {
 100              [ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
 101           }
 102         ]
 103         [ { "context-sensitive computation" * } {
 104              [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
 105              [ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
 106           }
 107         ]
 108 *)
 109         [ { "uncounted context-sensitive rt-computation" * } {
 110              [ "lsubsx ( ? ⊢ ? ⊆ⓧ[?,?,?] ? )" "lsubsx_lfsx" + "lsubsx_lsubsx" * ]
 111              [ "lfsx ( ? ⊢ ⬈*[?,?,?] 𝐒⦃?⦄ )" "lfsx_drops" + "lfsx_fqup" + "lfsx_lfpxs" + "lfsx_lfsx" * ]
 112              [ "csx_vector ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_cnx_vector" + "csx_csx_vector" * ]
 113              [ "csx ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_simple" + "csx_simple_theq" + "csx_drops" + "csx_lsubr" + "csx_lfdeq" + "csx_aaa" + "csx_gcp" + "csx_gcr" + "csx_lfpx" + "csx_cnx" + "csx_cpxs" + "csx_lfpxs" + "csx_csx" * ]
 114              [ "lfpxs ( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )" "lfpxs_length" + "lfpxs_drops" + "lfpxs_fqup" + "lfpxs_lfdeq" + "lfpxs_aaa" + "lfpxs_cpxs" + "lfpxs_lfpxs" * ]
 115              [ "cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" "cpxs_tdeq" + "cpxs_theq" + "cpxs_theq_vector" + "cpxs_drops" + "cpxs_fqus" + "cpxs_lsubr" + "cpxs_lfdeq" + "cpxs_aaa" + "cpxs_lfpx" + "cpxs_cnx" + "cpxs_cpxs" * ]
 116           }
 117         ]
 118      }
 119    ]
 120    class "cyan"
 121    [ { "rt-transition" * } {
 122         [ { "uncounted rst-transition" * } {
 123              [ "fpbq ( ⦃?,?,?⦄ ≽[?] ⦃?,?,?⦄ )" "fpbq_aaa" * ]
 124              [ "fpb ( ⦃?,?,?⦄ ≻[?] ⦃?,?,?⦄ )" "fpb_lfdeq" * ]
 125           }
 126         ]
 127         [ { "t-bound context-sensitive rt-transition" * } {
 128              [ "lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fquq" + "lfpr_fqup" + "lfpr_frees" + "lfpr_aaa" + "lfpr_lfpx" + "lfpr_lfpr" * ]
 129              [ "cpr_ext ( ⦃?,?⦄ ⊢ ? ➡[?] ? )" * ]
 130              [ "cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" * ]
 131              [ "cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_lfxs" + "cpm_cpx" * ]
 132           }
 133         ]
 134         [ { "uncounted context-sensitive rt-transition" * } {
 135              [ "cnx ( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )" "cnx_simple" + "cnx_drops" + "cnx_cnx" * ]
 136              [ "lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_drops" + "lfpx_fqup" + "lfpx_frees" + "lfpx_lfdeq" + "lfpx_aaa" + "lfpx_cpx" + "lfpx_lfpx" * ]
 137              [ "cpx_ext ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" * ]
 138              [ "cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_fqus" + "cpx_lsubr" + "cpx_lfxs" * ]
 139           }
 140         ]
 141         [ { "counted context-sensitive rt-transition" * } {
 142              [ "cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
 143           }
 144         ]
 145      }
 146    ]
 147    class "water"
 148    [ { "iterated static typing" * } {
 149         [ { "iterated extension on referred entries" * } {
 150              [ "tc_lfxs ( ? ⦻**[?,?] ? )" "tc_lfxs_length" + "tc_lfxs_drops" + "tc_lfxs_fqup" + "tc_lfxs_tc_lfxs" * ]
 151           }
 152         ]
 153      }
 154    ]
 155    class "green"
 156    [ { "static typing" * } {
 157         [ { "generic reducibility" * } {
 158              [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drops" + "lsubc_lsubr" + "lsubc_lsuba" * ]
 159              [ "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
 160              [ "gcp" *]
 161           }
 162         ]
 163         [ { "atomic arity assignment" * } {
 164              [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
 165              [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfdeq" + "aaa_aaa" * ]
 166           }
 167         ]
 168         [ { "degree-based equivalence on referred entries" * } {
 169              [ "ffdeq ( ⦃?,?,?⦄ ≛[?,?] ⦃?,?,?⦄ )" "ffdeq_fqup" + "ffdeq_ffdeq" * ]
 170              [ "lfdeq ( ? ≛[?,?,?] ? )" "lfdeq_length" + "lfdeq_drops" + "lfdeq_fqup" + "lfdeq_fqus" + "lfdeq_lfdeq" * ]
 171           }
 172         ]
 173         [ { "syntactic equivalence on referred entries" * } {
 174              [ "lfeq ( ? ≡[?] ? )" * ]
 175           }
 176         [ { "generic extension on referred entries" * } {
 177              [ "lfxs ( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_drops" + "lfxs_fqup" + "lfxs_lfxs" * ]
 178           }
 179         ]
 180         [ { "context-sensitive free variables" * } {
 181              [ "lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )" "lsubf_lsubr" + "lsubf_frees" + "lsubf_lsubf" * ]
 182              [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_drops" + "frees_fqup" + "frees_frees" * ]
 183           }
 184         ]
 185         [ { "restricted ref. for local env." * } {
 186              [ "lsubr ( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
 187           }
 188         ]
 189      }
 190    ]
 191    class "grass"
 192    [ { "s-computation" * } {
 193         [ { "iterated structural successor for closures" * } {
 194              [ "fqus ( ⦃?,?,?⦄ ⊐*[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_weight" + "fqus_drops" + "fqus_fqup" + "fqus_fqus" * ]
 195              [ "fqup ( ⦃?,?,?⦄ ⊐+[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_weight" + "fqup_drops" + "fqup_fqup" * ]
 196           }
 197         ]
 198      }
 199    ]
 200    class "yellow"
 201    [ { "s-transition" * } {
 202         [ { "structural successor for closures" * } {
 203              [ "fquq ( ⦃?,?,?⦄ ⊐⸮[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_length" + "fquq_weight" * ]
 204              [ "fqu ( ⦃?,?,?⦄ ⊐[?] ⦃?,?,?⦄ ) ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" "fqu_length" + "fqu_weight" * ]
 205           }
 206         ]
 207      }
 208    ]
 209    class "orange"
 210    [ { "relocation" * } {
 211         [ { "generic slicing for local environments" * } {
 212              [ "drops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" * ]
 213              [ "drops ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" "drops_lstar" + "drops_weight" + "drops_length" + "drops_cext2" + "drops_lexs" + "drops_lreq" + "drops_drops" * ]
 214           }
 215         ]
 216         [ { "generic relocation" * } {
 217              [ "lifts_bind ( ⬆*[?] ? ≡ ? )" "lifts_weight_bind" + "lifts_lifts_bind" * ]
 218              [ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lifts_vector" * ]
 219              [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_tdeq" + "lifts_lifts" * ]
 220           }
 221         ]
 222         [ { "ranged equivalence for local environments" * } {
 223              [ "lreq ( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
 224           }
 225         ]
 226         [ { "generic entrywise extension" * } {
 227              [ "lex ( ? ⦻[?] ? )" * ]
 228              [ "lexs ( ? ⦻*[?,?,?] ? )" "lexs_tc" + "lexs_length" + "lexs_lexs" * ]
 229           }
 230         ]
 231      }
 232    ]
 233    class "red"
 234    [ { "syntax" * } {
 235         [ { "append for local environments" * } {
 236              [ "append ( ? @@ ? )" "append_length" * ]
 237           }
 238         ]
 239         [ { "head equivalence for terms" * } {
 240              [ "theq ( ? ⩳[?,?] ? )" "theq_simple" + "theq_tdeq" + "theq_theq" + "theq_simple_vector" * ]
 241           }
 242         ]
 243         [ { "degree-based equivalence" * } {
 244              [ "tdeq_ext ( ? ≛[?,?] ? ) ( ? ⊢ ? ≛[?,?] ? )" * ]
 245              [ "tdeq ( ? ≛[?,?] ? )" "tdeq_tdeq" * ]
 246           }
 247         ]
 248         [ { "closures" * } {
 249              [ "cl_weight ( ♯{?,?,?} )" * ]
 250              [ "cl_restricted_weight ( ♯{?,?} )" * ]
 251           }
 252         ]
 253         [ { "global environments" * } {
 254              [ "genv" * ]
 255           }
 256         ]
 257         [ { "local environments" * } {
 258              [ "ceq_ext" "ceq_ext_ceq_ext" * ]
 259              [ "cext2" * ]
 260              [ "lenv_length ( |?| )" * ]
 261              [ "lenv_weight ( ♯{?} )" * ]
 262              [ "lenv" * ]
 263           }
 264         ]
 265         [ { "binders for local environments" * } {
 266              [ "ext2" "ext2_tc" + "ext2_ext2" * ]
 267              [ "bind" "bind_weight" * ]
 268           }
 269         ]
 270         [ { "terms" * } {
 271              [ "term_vector ( Ⓐ?.? )" * ]
 272              [ "term_simple ( 𝐒⦃?⦄ )"  * ]
 273              [ "term_weight ( ♯{?} )" * ]
 274              [ "term" * ]
 275           }
 276         ]
 277         [ { "items" * } {
 278              [ "item_sd" * ]
 279              [ "item_sh" * ]
 280              [ "item" * ]
 281           }
 282         ]
 283         [ { "atomic arities" * } {
 284              [ "aarity" * ]
 285           }
 286         ]
 287      }
 288    ]
 289 }
 290
 291 class "top"               { * }
 292
 293 class "capitalize italic" { 0 }
 294
 295 class "italic"            { 1 }
 296 (*
 297         [ { "normal forms for context-sensitive rt-reduction" * } {
 298              [ "cnx_crx" + "cnx_cix" * ]
 299           }
 300         ]
 301         [ { "irreducible forms for context-sensitive rt-reduction" * } {
 302              [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
 303           }
 304         ]
 305         [ { "reducible forms for context-sensitive rt-reduction" * } {
 306              [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
 307           }
 308         ]
 309         [ { "normal forms for context-sensitive reduction" * } {
 310              [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
 311           }
 312         ]
 313         [ { "irreducible forms for context-sensitive reduction" * } {
 314              [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
 315           }
 316         ]
 317         [ { "reducible forms for context-sensitive reduction" * } {
 318              [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
 319           }
 320         ]
 321         [ { "unfold" * } {
 322              [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
 323           }
 324         ]
 325         [ { "iterated static type assignment" * } {
 326              [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
 327           }
 328         ]
 329         [ { "local env. ref. for degree assignment" * } {
 330              [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
 331           }
 332         ]
 333         [ { "degree assignment" * } {
 334              [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
 335           }
 336         ]
 337         [ { "context-sensitive multiple rt-substitution" * } {
 338              [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
 339           }
 340         ]
 341         [ { "pointwise union for local environments" * } {
 342              [ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
 343           }
 344         ]
 345         [ { "lazy pointwise extension of a relation" * } {
 346              [ "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" * ]
 347           }
 348         ]
 349         [ { "global env. slicing" * } {
 350              [ "gget ( ⬇[?] ? ≡ ? )" "gget_gget" * ]
 351           }
 352         ]
 353         [ { "context-sensitive ordinary rt-substitution" * } {
 354              [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
 355           }
 356         ]
 357         [ { "local env. ref. for rt-substitution" * } {
 358              [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
 359           }
 360         ]
 361         [ { "pointwise extension of a relation" * } {
 362              [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
 363           }
 364         ]
 365              [ "cpx_lreq" + "cpr_cir" + "fpb_lift" + "fpbq_lift" ]
 366              [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
 367 *)