]
}
]
+(*
class "wine"
[ { "examples" * } {
[ { "terms with special features" * } {
- [ "ex_cpr_omega" * ]
+ [ "ex_sta_ldec" + "ex_cpr_omega" + "ex_fpbg_refl" + "ex_snv_eta" * ]
}
]
}
]
*)
[ { "local env. ref. for stratified native validity" * } {
- [ "lsubsv ( ? ⊢ ? ¡⫃[?,?] ? )" "lsubsv_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_cpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
+ [ "lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )" "lsubsv_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_scpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
}
]
[ { "stratified native validity" * } {
- [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_cpcs" + "snv_preserve" * ]
+ [ "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
+ [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_fsb" + "snv_scpes" + "snv_preserve" * ]
}
]
}
]
class "blue"
[ { "equivalence" * } {
- [ { "decomposed extended equivalence" * } {
- [ "cpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?] ? )" "cpes_cpds" * ]
+ [ { "decomposed rt-equivalence" * } {
+ [ "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
}
]
[ { "context-sensitive equivalence" * } {
]
class "cyan"
[ { "computation" * } {
- [ { "evaluation for context-sensitive extended reduction" * } {
+ [ { "evaluation for context-sensitive rt-reduction" * } {
[ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
}
]
[ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
}
]
- [ { "strongly normalizing \"big tree\" computation" * } {
- [ "fsb ( â¦\83?,?â¦\84 â\8a¢ ⦥[?,?] ? )" "fsb_alt ( â¦\83?,?â¦\84 â\8a¢ ⦥⦥[?,?] ? )" "fsb_aaa" + "fsb_csx" * ]
+ [ { "strongly normalizing qrst-computation" * } {
+ [ "fsb ( ⦥[?,?] â¦\83?,?,?â¦\84 )" "fsb_alt ( ⦥⦥[?,?] â¦\83?,?,?â¦\84 )" "fsb_aaa" + "fsb_csx" * ]
}
]
- [ { "strongly normalizing extended computation" * } {
+ [ { "strongly normalizing rt-computation" * } {
[ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ]
[ "lsx ( ? ⊢ ⬊*[?,?,?,?] ? )" "lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )" "lsx_drop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ]
- [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tstc_vector" + "csx_aaa" * ]
+ [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tsts_vector" + "csx_aaa" * ]
[ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
}
]
- [ { "\"big tree\" parallel computation" * } {
- [ "fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbg" * ]
- [ "fpbc ( ⦃?,?,?⦄ ≻≡[?,?] ⦃?,?,?⦄ )" "fpbc_fleq" + "fpbc_fpbs" * ]
- [ "fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbu_lift" + "fpbu_lleq" "fpbu_fleq" * ]
- [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_fleq" + "fpbs_aaa" + "fpbs_fpbs" + "fpbs_ext" * ]
+ [ { "parallel qrst-computation" * } {
+ [ "fpbg ( ⦃?,?,?⦄ >≡[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbs" + "fpbg_fpbg" * ]
+ [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpb" + "fpbs_fpbs" * ]
}
]
- [ { "decomposed extended computation" * } {
- [ "cpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?] ? )" "cpds_lift" + "cpds_aaa" + "cpds_cpds" * ]
+ [ { "decomposed rt-computation" * } {
+ [ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
}
]
- [ { "context-sensitive extended computation" * } {
+ [ { "context-sensitive rt-computation" * } {
[ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
- [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_leq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
+ [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tsts" + "cpxs_tsts_vector" + "cpxs_lreq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
}
]
[ { "context-sensitive computation" * } {
[ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
}
]
- [ { "local env. ref. for abstract candidates of reducibility" * } {
+ [ { "local env. ref. for generic reducibility" * } {
[ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drop" + "lsubc_drops" + "lsubc_lsuba" * ]
}
]
- [ { "support for abstract computation properties" * } {
- [ "acp" "acp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
+ [ { "support for generic computation properties" * } {
+ [ "gcp" "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
}
]
}
]
class "water"
[ { "reduction" * } {
- [ { "\"big tree\" parallel reduction" * } {
- [ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_aaa" * ]
+ [ { "parallel qrst-reduction" * } {
+ [ "fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )" "fpbq_lift" + "fpbq_aaa" * ]
+ [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_lleq" + "fpb_fleq" * ]
}
]
- [ { "normal forms for context-sensitive extended reduction" * } {
+ [ { "normal forms for context-sensitive rt-reduction" * } {
[ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
}
]
- [ { "context-sensitive extended reduction" * } {
- [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_drop" + "lpx_frees" "lpx_lleq" + "lpx_aaa" * ]
- [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_leq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
+ [ { "context-sensitive rt-reduction" * } {
+ [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_drop" + "lpx_frees" + "lpx_lleq" + "lpx_aaa" * ]
+ [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lreq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
}
]
- [ { "irreducible forms for context-sensitive extended reduction" * } {
+ [ { "irreducible forms for context-sensitive rt-reduction" * } {
[ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
}
]
- [ { "reducible forms for context-sensitive extended reduction" * } {
+ [ { "reducible forms for context-sensitive rt-reduction" * } {
[ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
}
]
}
]
[ { "iterated static type assignment" * } {
- [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_alt ( ⦃?,?⦄ ⊢ ? ••*[?,?] ? )" "lstas_lift" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
+ [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
}
]
}
]
- class "grass"
+*)
+ class "green"
[ { "static typing" * } {
- [ { "local env. ref. for degree assignment" * } {
- [ "lsubd ( ? ⊢ ? ▪⫃ ? )" "lsubd_da" + "lsubd_lsubd" * ]
- }
- ]
- [ { "degree assignment" * } {
- [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_sta" + "da_da" * ]
- }
- ]
- [ { "static type assignment" * } {
- [ "sta ( ⦃?,?⦄ ⊢ ? •[?] ? )" "sta_lift" + "sta_lpx_sn" + "sta_aaa" + "sta_sta" * ]
- }
- ]
[ { "parameters" * } {
[ "sh" "sd" * ]
}
]
- [ { "local env. ref. for atomic arity assignment" * } {
- [ "lsuba ( ? â\8a¢ ? â\81\9dâ«\83 ? )" "lsuba_aaa" + "lsuba_lsuba" * ]
+ [ { "restricted ref. for atomic arity assignment" * } {
+ [ "lsuba ( ? â\8a¢ ? â«\83â\81\9d ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
}
]
[ { "atomic arity assignment" * } {
- [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_lleq" + "aaa_aaa" * ]
+ [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + (* "aaa_lleq" + *) "aaa_aaa" * ]
}
]
- [ { "restricted local env. ref." * } {
- [ "lsubr ( ? ⫃ ? )" "lsubr_lsubr" * ]
- }
- ]
- }
- ]
- class "yellow"
- [ { "multiple substitution" * } {
- [ { "lazy equivalence" * } {
- [ "fleq ( ⦃?,?,?⦄ ≡[?] ⦃?,?,?⦄ )" "fleq_fleq" * ]
- [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_leq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
+ [ { "restricted ref. for local env." * } {
+ [ "lsubr ( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
}
]
- [ { "lazy pointwise extension of a relation" * } {
- [ "llpx_sn" "llpx_sn_alt" + "llpx_sn_alt_rec" + "llpx_sn_tc" + "llpx_sn_leq" + "llpx_sn_drop" + "llpx_sn_lpx_sn" + "llpx_sn_frees" + "llpx_sn_llor" * ]
+ [ { "ranged equivalence for closures" * } {
+ [ "freq ( ⦃?,?,?⦄ ≡ ⦃?,?,?⦄ )" "freq_freq" * ]
}
]
- [ { "pointwise union for local environments" * } {
- [ "llor ( ? ⩖[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
- }
- ]
- [ { "context-sensitive exclusion from free variables" * } {
- [ "frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )" "frees_append" + "frees_leq" + "frees_lift" * ]
- }
- ]
- [ { "contxt-sensitive extended multiple substitution" * } {
- [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
+ [ { "context-sensitive free variables" * } {
+ [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_weight" + "frees_lreq" + "frees_frees" * ]
}
]
+ }
+ ]
+ class "grass"
+ [ { "s-computation" * } {
[ { "iterated structural successor for closures" * } {
- [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
- [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
- }
- ]
- [ { "iterated local env. slicing" * } {
- [ "drops ( ⇩*[?,?] ? ≡ ? )" "drops_drop" + "drops_drops" * ]
- }
- ]
- [ { "generic term relocation" * } {
- [ "lifts_vector ( ⇧*[?] ? ≡ ? )" "lifts_lift_vector" * ]
- [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ]
- }
- ]
- [ { "support for generic relocation" * } {
- [ "gr2 ( @⦃?,?⦄ ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ]
+ [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_weight" + "fqus_drops" + "fqus_fqup" + "fqus_fqus" * ]
+ [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_weight" + "fqup_drops" + "fqup_fqup" * ]
}
]
}
]
- class "orange"
- [ { "substitution" * } {
+ class "yellow"
+ [ { "s-transition" * } {
[ { "structural successor for closures" * } {
- [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )" * ]
- [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" * ]
+ [ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_length" + "fquq_weight" * ]
+ [ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" "fqu_length" + "fqu_weight" * ]
}
]
- [ { "global env. slicing" * } {
- [ "gget ( ⇩[?] ? ≡ ? )" "gget_gget" * ]
- }
- ]
- [ { "contxt-sensitive extended ordinary substitution" * } {
- [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
- }
- ]
- [ { "local env. ref. for extended substitution" * } {
- [ "lsuby ( ? ⊑×[?,?] ? )" "lsuby_lsuby" * ]
+ }
+ ]
+ class "orange"
+ [ { "relocation" * } {
+ [ { "generic slicing for local environments" * } {
+ [ "drops_vector ( ⬇*[?,?] ? ≡ ? )" * ]
+ [ "drops ( ⬇*[?,?] ? ≡ ? )" "drops_lstar" + "drops_weight" + "drops_length" + "drops_ceq" + "drops_lexs" + "drops_lreq" + "drops_drops" * ]
}
]
- [ { "pointwise extension of a relation" * } {
- [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
+ [ { "generic relocation for terms" * } {
+ [ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lifts_vector" * ]
+ [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_lifts" * ]
}
]
- [ { "basic local env. slicing" * } {
- [ "drop ( ⇩[?,?,?] ? ≡ ? )" "drop_append" + "drop_leq" + "drop_drop" * ]
+ [ { "ranged equivalence for local environments" * } {
+ [ "lreq ( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
}
]
- [ { "basic term relocation" * } {
- [ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ]
- [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_neq" + "lift_lift" * ]
+ [ { "generic entrywise extension of context-sensitive relations for terma" * } {
+ [ "lexs ( ? ⦻*[?,?,?] ? )" "lexs_length" + "lexs_lexs" * ]
}
]
}
]
class "red"
[ { "grammar" * } {
- [ { "equivalence for local environments" * } {
- [ "leq ( ? ⩬[?,?] ? )" "leq_leq" * ]
+ [ { "append for local environments" * } {
+ [ "append ( ? @@ ? )" "append_length" * ]
}
]
- [ { "same top term constructor" * } {
- [ "tstc ( ? ≂ ? )" "tstc_tstc" + "tstc_vector" * ]
+ [ { "context-sensitive equivalences for terms" * } {
+ [ "ceq" "ceq_ceq" * ]
+ }
+ ]
+ [ { "same top term structure" * } {
+ [ "tsts ( ? ≂ ? )" "tsts_tsts" + "tsts_vector" * ]
}
]
[ { "closures" * } {
]
[ { "internal syntax" * } {
[ "genv" * ]
- [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ]
- [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
+ [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" * ]
+ [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector ( Ⓐ?.? )" * ]
[ "item" * ]
}
]
]
}
-class "component" { 0 }
+class "top" { * }
-class "plane" { 1 }
+class "capitalize italic" { 0 }
-class "file" { 2 * }
+class "italic" { 1 }
+(*
+ [ { "local env. ref. for degree assignment" * } {
+ [ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
+ }
+ ]
+ [ { "degree assignment" * } {
+ [ "da ( ⦃?,?⦄ ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
+ }
+ ]
+ [ { "context-sensitive multiple rt-substitution" * } {
+ [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
+ }
+ ]
+ [ { "pointwise union for local environments" * } {
+ [ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
+ }
+ ]
+ [ { "lazy pointwise extension of a relation" * } {
+ [ "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" * ]
+ }
+ ]
+ [ { "global env. slicing" * } {
+ [ "gget ( ⬇[?] ? ≡ ? )" "gget_gget" * ]
+ }
+ ]
+ [ { "context-sensitive ordinary rt-substitution" * } {
+ [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
+ }
+ ]
+ [ { "local env. ref. for rt-substitution" * } {
+ [ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
+ }
+ ]
+ [ { "pointwise extension of a relation" * } {
+ [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
+ }
+ ]
+ [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
+*)
projects / helm.git / blobdiff