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 ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_drop" + "lpx_frees" + "lpx_lleq" + "lpx_aaa" * ]
 142              [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lreq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
 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         [ { "counted context-sensitive rt-transition" * } {
 152              [ "cpg ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
 153           }
 154         ]
 155      }
 156    ]
 157    class "green"
 158    [ { "static typing" * } {
 159         [ { "parameters" * } {
 160              [ "sh" "sd" * ]
 161           }
 162         ]
 163         [ { "restricted ref. for atomic arity assignment" * } {
 164              [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
 165           }
 166         ]
 167         [ { "atomic arity assignment" * } {
 168              [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfeq" + "aaa_aaa" * ]
 169           }
 170         ]
 171         [ { "restricted ref. for local env." * } {
 172              [ "lsubr ( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
 173           }
 174         ]
 175         [ { "equivalence for closures on referred entries" * } {
 176              [ "ffeq ( ⦃?,?,?⦄ ≡ ⦃?,?,?⦄ )" "ffeq_freq" * ]
 177           }
 178         ]
 179         [ { "equivalence for local environments on referred entries" * } {
 180              [ "lfeq ( ? ≡[?] ? )" "lfeq_length" + "lfeq_lreq" + "lfeq_fqup" + "lfeq_lfeq" * ]
 181           }
 182         ]
 183         [ { "generic extension on referred entries" * } {
 184              [ "lfxs ( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_fqup" + "lfxs_lfxs" * ]
 185           }
 186         ]
 187         [ { "context-sensitive free variables" * } {
 188              [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_weight" + "frees_lreq" + "frees_frees" * ]
 189           }
 190         ]
 191      }
 192    ]
 193    class "grass"
 194    [ { "s-computation" * } {
 195         [ { "iterated structural successor for closures" * } {
 196              [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_weight" + "fqus_drops" + "fqus_fqup" + "fqus_fqus" * ]
 197              [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_weight" + "fqup_drops" + "fqup_fqup" * ]
 198           }
 199         ]
 200      }
 201    ]
 202    class "yellow"
 203    [ { "s-transition" * } {
 204         [ { "structural successor for closures" * } {
 205              [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_length" + "fquq_weight" * ]
 206              [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" "fqu_length" + "fqu_weight" * ]
 207           }
 208         ]
 209      }
 210    ]
 211    class "orange"
 212    [ { "relocation" * } {
 213         [ { "generic slicing for local environments" * } {
 214              [ "drops_vector ( ⬇*[?,?] ? ≡ ? )" * ]
 215              [ "drops ( ⬇*[?,?] ? ≡ ? )" "drops_lstar" + "drops_weight" + "drops_length" + "drops_ceq" + "drops_lexs" + "drops_lreq" + "drops_drops" * ]
 216           }
 217         ]
 218         [ { "generic relocation for terms" * } {
 219              [ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lifts_vector" * ]
 220              [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_lifts" * ]
 221           }
 222         ]
 223         [ { "ranged equivalence for local environments" * } {
 224              [ "lreq ( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
 225           }
 226         ]
 227         [ { "generic entrywise extension" * } {
 228              [ "lexs ( ? ⦻*[?,?,?] ? )" "lexs_length" + "lexs_lexs" * ]
 229           }
 230         ]
 231      }
 232    ]
 233    class "red"
 234    [ { "grammar" * } {
 235         [ { "append for local environments" * } {
 236              [ "append ( ? @@ ? )" "append_length" * ]
 237           }
 238         ]
 239         [ { "context-sensitive equivalences for terms" * } {
 240              [ "ceq" "ceq_ceq" * ]
 241           }
 242         ]
 243         [ { "same top term structure" * } {
 244              [ "tsts ( ? ≂ ? )" "tsts_tsts" + "tsts_vector" * ]
 245           }
 246         ]
 247         [ { "closures" * } {
 248              [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
 249           }
 250         ]
 251         [ { "internal syntax" * } {
 252              [ "genv" * ]
 253              [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" * ]
 254              [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector ( Ⓐ?.? )" * ]
 255              [ "item" * ]
 256           }
 257         ]
 258         [ { "external syntax" * } {
 259              [ "aarity" * ]
 260           }
 261         ]
 262      }
 263    ]
 264 }
 265
 266 class "top"               { * }
 267
 268 class "capitalize italic" { 0 }
 269
 270 class "italic"            { 1 }
 271 (*
 272         [ { "normal forms for context-sensitive rt-reduction" * } {
 273              [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
 274           }
 275         ]
 276         [ { "irreducible forms for context-sensitive rt-reduction" * } {
 277              [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
 278           }
 279         ]
 280         [ { "reducible forms for context-sensitive rt-reduction" * } {
 281              [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
 282           }
 283         ]
 284         [ { "normal forms for context-sensitive reduction" * } {
 285              [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
 286           }
 287         ]
 288         [ { "irreducible forms for context-sensitive reduction" * } {
 289              [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
 290           }
 291         ]
 292         [ { "reducible forms for context-sensitive reduction" * } {
 293              [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
 294           }
 295         ]
 296         [ { "unfold" * } {
 297              [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
 298           }
 299         ]
 300         [ { "iterated static type assignment" * } {
 301              [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
 302           }
 303         ]
 304         [ { "local env. ref. for degree assignment" * } {
 305              [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
 306           }
 307         ]
 308         [ { "degree assignment" * } {
 309              [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
 310           }
 311         ]
 312         [ { "context-sensitive multiple rt-substitution" * } {
 313              [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
 314           }
 315         ]
 316         [ { "pointwise union for local environments" * } {
 317              [ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
 318           }
 319         ]
 320         [ { "lazy pointwise extension of a relation" * } {
 321              [ "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" * ]
 322           }
 323         ]
 324         [ { "global env. slicing" * } {
 325              [ "gget ( ⬇[?] ? ≡ ? )" "gget_gget" * ]
 326           }
 327         ]
 328         [ { "context-sensitive ordinary rt-substitution" * } {
 329              [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
 330           }
 331         ]
 332         [ { "local env. ref. for rt-substitution" * } {
 333              [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
 334           }
 335         ]
 336         [ { "pointwise extension of a relation" * } {
 337              [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
 338           }
 339         ]
 340              [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
 341 *)