]
class "wine"
[ { "iterated dynamic typing" * } {
- [ { "" (* "higher order native type assignment" *) * } {
- [ [ "" ] (* "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" *) * ]
+ [ { "context-sensitive iterated native type assignment" * } {
+ [ [ "for terms" ] "ntas" + "( ⦃?,?⦄ ⊢ ? :[?,?,?] ? )" + "( ⦃?,?⦄ ⊢ ? :[?,?] ? )" + "( ⦃?,?⦄ ⊢ ? :*[?,?] ? )" * ]
}
]
}
]
class "magenta"
[ { "dynamic typing" * } {
-(*
- [ { "local env. ref. for native type assignment" * } {
- [ [ "" ] "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
- }
- ]
- [ { "native type assignment" * } {
- [ [ "" ] "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_aaa" "nta_sta" "nta_ltpr" "nta_nta" * ]
- }
- ]
- [ { "local env. ref. for stratified native validity" * } {
- [ [ "" ] "lsubsv ( ? ⊢ ? ⫃¡[?,?] ? )" "lsubsv_lsuba" + "lsubsv_lsubd" + "lsubsv_lstas" + "lsubsv_scpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
+ [ { "context-sensitive native type assignment" * } {
+ [ [ "for terms" ] "nta" + "( ⦃?,?⦄ ⊢ ? :[?,?] ? )" + "( ⦃?,?⦄ ⊢ ? :[?] ? )" + "( ⦃?,?⦄ ⊢ ? :*[?] ? )" "nta_drops" + "nta_aaa" + "nta_fsb" + "nta_cpms" + "nta_cpcs" + "nta_preserve" + "nta_preserve_cpcs" + "nta_ind" + "nta_eval" * ]
}
]
-*)
[ { "context-sensitive native validity" * } {
-(*
- [ [ "" ] "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
-*)
- [ [ "for terms" ] "cnv" + "( ⦃?,?⦄ ⊢ ? ![?,?] )" "cnv_drops" + "cnv_fqus" + "cnv_aaa" + "cnv_fsb" (* + "snv_lpr" + "snv_scpes" + "snv_preserve" *) * ]
+ [ [ "restricted refinement for lenvs" ] "lsubv ( ? ⊢ ? ⫃![?,?] ? )" "lsubv_drops" + "lsubv_lsubr" + "lsubv_lsuba" + "lsubv_cpms" + "lsubv_cpcs" + "lsubv_cnv" + "lsubv_lsubv" * ]
+ [ [ "for terms" ] "cnv" + "( ⦃?,?⦄ ⊢ ? ![?,?] )" + "( ⦃?,?⦄ ⊢ ? ![?] )" + "( ⦃?,?⦄ ⊢ ? !*[?] )" "cnv_drops" + "cnv_fqus" + "cnv_aaa" + "cnv_fsb" + "cnv_cpm_trans" + "cnv_cpm_conf" + "cnv_cpm_tdeq" + "cnv_cpm_tdeq_trans" + "cnv_cpm_tdeq_conf" + "cnv_cpms_tdeq" + "cnv_cpms_conf" + "cnv_cpms_tdeq_conf" + "cnv_cpme" + "cnv_cpue" + "cnv_eval" + "cnv_cpce" + "cnv_cpes" + "cnv_cpcs" + "cnv_preserve_sub" + "cnv_preserve" + "cnv_preserve_cpes" + "cnv_preserve_cpcs" * ]
}
]
}
class "prune"
[ { "rt-equivalence" * } {
[ { "context-sensitive parallel r-equivalence" * } {
- [ [ "for terms" ] "cpcs ( ⦃?,?⦄ ⊢ ? ⬌*[?] ? )" "cpcs_drops" + "cpcs_lsubr" + "cpcs_aaa" + "cpcs_cprs" + "cpcs_lprs" + "cpcs_cpc" + "cpcs_cpcs" * ]
+ [ [ "for terms" ] "cpcs ( ⦃?,?⦄ ⊢ ? ⬌*[?] ? )" "cpcs_drops" + "cpcs_lsubr" + "cpcs_aaa" + "cpcs_csx" + "cpcs_cprs" + "cpcs_lprs" + "cpcs_cpc" + "cpcs_cpcs" * ]
+ }
+ ]
+ [ { "t-bound context-sensitive parallel rt-equivalence" * } {
+ [ [ "for terms" ] "cpes ( ⦃?,?⦄ ⊢ ? ⬌*[?,?,?] ? )" "cpes_aaa" + "cpes_cprs" * ]
}
]
}
]
class "blue"
[ { "rt-conversion" * } {
+ [ { "context-sensitive parallel eta-conversion" * } {
+ [ [ "for lenvs on all entries" ] "lpce ( ⦃?,?⦄ ⊢ ⬌η[?] ? )" * ]
+ [ [ "for binders" ] "cpce_ext" + "( ⦃?,?⦄ ⊢ ? ⬌η[?] ? )" * ]
+ [ [ "for terms" ] "cpce" + "( ⦃?,?⦄ ⊢ ? ⬌η[?] ? )" "cpce_drops" * ]
+ }
+ ]
[ { "context-sensitive parallel r-conversion" * } {
[ [ "for terms" ] "cpc" + "( ⦃?,?⦄ ⊢ ? ⬌[?] ? )" "cpc_cpc" * ]
}
]
class "sky"
[ { "rt-computation" * } {
+ [ { "t-unbound context-sensitive parallel rt-computation" * } {
+ [ [ "evaluation for terms" ] "cpue ( ⦃?,?⦄ ⊢ ? ⥲*[?] 𝐍⦃?⦄ )" "cpue_csx" * ]
+ }
+ ]
[ { "context-sensitive parallel r-computation" * } {
+ [ [ "evaluation for terms" ] "cpre ( ⦃?,?⦄ ⊢ ? ➡*[?] 𝐍⦃?⦄ )" "cpre_csx" + "cpre_cpms" + "cpre_cpre" * ]
[ [ "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" * ]
[ [ "for binders" ] "cprs_ext" + "( ⦃?,?⦄ ⊢ ? ➡*[?] ?)" * ]
- [ [ "for terms" ] "cprs" + "( ⦃?,?⦄ ⊢ ? ➡*[?] ?)" "cprs_ctc" + "cprs_drops" + "cprs_cpr" + "cprs_lpr" + "cprs_cprs" * ]
+ [ [ "for terms" ] "cprs" + "( ⦃?,?⦄ ⊢ ? ➡*[?] ?)" "cprs_ctc" + "cprs_drops" + "cprs_cpr" + "cprs_lpr" + "cprs_cnr" + "cprs_cprs" * ]
}
]
[ { "t-bound context-sensitive parallel rt-computation" * } {
- [ [ "for terms" ] "cpms" + "( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpms_drops" + "cpms_lsubr" + "cpms_aaa" + "cpms_lpr" + "cpms_cpxs" + "cpms_cpms" * ]
+ [ [ "evaluation for terms" ] "cpme ( ⦃?,?⦄ ⊢ ? ➡*[?,?] 𝐍⦃?⦄ )" "cpme_aaa" * ]
+ [ [ "for terms" ] "cpms" + "( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpms_drops" + "cpms_lsubr" + "cpms_rdeq" + "cpms_aaa" + "cpms_lpr" + "cpms_cnu" + "cpms_cpxs" + "cpms_fpbs" + "cpms_fpbg" + "cpms_cpms" * ]
}
]
[ { "unbound context-sensitive parallel rst-computation" * } {
- [ [ "strongly normalizing for closures" ] "fsb" + "( ≥[?,?] 𝐒⦃?,?,?⦄ )" "fsb_fdeq" + "fsb_aaa" + "fsb_csx" + "fsb_fpbg" * ]
- [ [ "proper for closures" ] "fpbg" + "( ⦃?,?,?⦄ >[?,?] ⦃?,?,?⦄ )" "fpbg_fqup" + "fpbg_cpxs" + "fpbg_lpxs" + "fpbg_fpbs" + "fpbg_fpbg" * ]
- [ [ "for closures" ] "fpbs" + "( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_fqup" + "fpbs_fqus" + "fpbs_aaa" + "fpbs_cpx" + "fpbs_fpb" + "fpbs_cpxs" + "fpbs_lpxs" + "fpbs_csx" + "fpbs_fpbs" * ]
+ [ [ "strongly normalizing for closures" ] "fsb" + "( ≥[?] 𝐒⦃?,?,?⦄ )" "fsb_fdeq" + "fsb_aaa" + "fsb_csx" + "fsb_fpbg" * ]
+ [ [ "proper for closures" ] "fpbg" + "( ⦃?,?,?⦄ >[?] ⦃?,?,?⦄ )" "fpbg_fqup" + "fpbg_cpxs" + "fpbg_lpxs" + "fpbg_fpbs" + "fpbg_fpbg" * ]
+ [ [ "for closures" ] "fpbs" + "( ⦃?,?,?⦄ ≥[?] ⦃?,?,?⦄ )" "fpbs_fqup" + "fpbs_fqus" + "fpbs_aaa" + "fpbs_cpx" + "fpbs_fpb" + "fpbs_cpxs" + "fpbs_lpxs" + "fpbs_csx" + "fpbs_fpbs" * ]
}
]
[ { "unbound context-sensitive parallel rt-computation" * } {
- [ [ "refinement for lenvs on selected entries" ] "lsubsx" + "( ? ⊢ ? ⊆ⓧ[?,?,?] ? )" "lsubsx_lfsx" + "lsubsx_lsubsx" * ]
- [ [ "strongly normalizing for lenvs on referred entries" ] "rdsx" + "( ? ⊢ ⬈*[?,?,?] 𝐒⦃?⦄ )" "rdsx_length" + "rdsx_drops" + "rdsx_fqup" + "rdsx_cpxs" + "rdsx_csx" + "rdsx_rdsx" * ]
- [ [ "strongly normalizing for term vectors" ] "csx_vector" + "( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_cnx_vector" + "csx_csx_vector" * ]
- [ [ "strongly normalizing for terms" ] "csx" + "( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_simple" + "csx_simple_theq" + "csx_drops" + "csx_fqus" + "csx_lsubr" + "csx_rdeq" + "csx_fdeq" + "csx_aaa" + "csx_gcp" + "csx_gcr" + "csx_lpx" + "csx_cnx" + "csx_fpbq" + "csx_cpxs" + "csx_lpxs" + "csx_csx" * ]
+ [ [ "refinement for lenvs on selected entries" ] "lsubsx" + "( ? ⊢ ? ⊆ⓧ[?,?] ? )" "lsubsx_lfsx" + "lsubsx_lsubsx" * ]
+ [ [ "strongly normalizing for lenvs on referred entries" ] "rdsx" + "( ? ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "rdsx_length" + "rdsx_drops" + "rdsx_fqup" + "rdsx_cpxs" + "rdsx_csx" + "rdsx_rdsx" * ]
+ [ [ "strongly normalizing for term vectors" ] "csx_vector" + "( ⦃?,?⦄ ⊢ ⬈*[?] 𝐒⦃?⦄ )" "csx_cnx_vector" + "csx_csx_vector" * ]
+ [ [ "strongly normalizing for terms" ] "csx" + "( ⦃?,?⦄ ⊢ ⬈*[?] 𝐒⦃?⦄ )" "csx_simple" + "csx_simple_theq" + "csx_drops" + "csx_fqus" + "csx_lsubr" + "csx_rdeq" + "csx_fdeq" + "csx_aaa" + "csx_gcp" + "csx_gcr" + "csx_lpx" + "csx_cnx" + "csx_fpbq" + "csx_cpxs" + "csx_lpxs" + "csx_csx" * ]
[ [ "for lenvs on all entries" ] "lpxs" + "( ⦃?,?⦄ ⊢ ⬈*[?] ? )" "lpxs_length" + "lpxs_drops" + "lpxs_rdeq" + "lpxs_fdeq" + "lpxs_aaa" + "lpxs_lpx" + "lpxs_cpxs" + "lpxs_lpxs" * ]
[ [ "for binders" ] "cpxs_ext" + "( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" * ]
[ [ "for terms" ] "cpxs" + "( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" "cpxs_tdeq" + "cpxs_theq" + "cpxs_theq_vector" + "cpxs_drops" + "cpxs_fqus" + "cpxs_lsubr" + "cpxs_rdeq" + "cpxs_fdeq" + "cpxs_aaa" + "cpxs_lpx" + "cpxs_cnx" + "cpxs_cpxs" * ]
]
class "cyan"
[ { "rt-transition" * } {
- [ { "unbound parallel rst-transition" * } {
- [ [ "for closures" ] "fpbq" + "( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_aaa" + "fpbq_fpb" * ]
- [ [ "proper for closures" ] "fpb" + "( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_rdeq" + "fpb_fdeq" * ]
+ [ { "t-unbound context-sensitive parallel rt-transition" * } {
+ [ [ "normal form for terms" ] "cnu ( ⦃?,?⦄ ⊢ ⥲[?] 𝐍⦃?⦄ )" "cnu_tdeq" + "cnu_lifts" + "cnu_drops" + "cnu_cnr" + "cnu_cnr_simple" + "cnu_cnu" * ]
}
]
[ { "context-sensitive parallel r-transition" * } {
+ [ [ "normal form for terms" ] "cnr ( ⦃?,?⦄ ⊢ ➡[?] 𝐍⦃?⦄ )" "cnr_simple" + "cnr_tdeq" + "cnr_drops" * ]
[ [ "for lenvs on all entries" ] "lpr" + "( ⦃?,?⦄ ⊢ ➡[?] ? )" "lpr_length" + "lpr_drops" + "lpr_fquq" + "lpr_aaa" + "lpr_lpx" + "lpr_lpr" * ]
[ [ "for binders" ] "cpr_ext" + "( ⦃?,?⦄ ⊢ ? ➡[?] ? )" * ]
- [ [ "for terms" ] "cpr" + "( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" + "cpr_cpr" * ]
+ [ [ "for terms" ] "cpr" + "( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" + "cpr_drops_basic" + "cpr_tdeq" + "cpr_cpr" * ]
}
]
[ { "t-bound context-sensitive parallel rt-transition" * } {
- [ [ "for terms" ] "cpm" + "( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_fsle" + "cpm_aaa" + "cpm_cpx" * ]
+ [ [ "for terms" ] "cpm" + "( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_tdeq" + "cpm_tueq" + "cpm_drops" + "cpm_lsubr" + "cpm_fsle" + "cpm_aaa" + "cpm_cpx" * ]
+ }
+ ]
+ [ { "unbound parallel rst-transition" * } {
+ [ [ "for closures" ] "fpbq" + "( ⦃?,?,?⦄ ≽[?] ⦃?,?,?⦄ )" "fpbq_aaa" + "fpbq_fpb" * ]
+ [ [ "proper for closures" ] "fpb" + "( ⦃?,?,?⦄ ≻[?] ⦃?,?,?⦄ )" "fpb_rdeq" + "fpb_fdeq" * ]
}
]
[ { "unbound context-sensitive parallel rt-transition" * } {
- [ [ "normal form for terms" ] "cnx" + "( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )" "cnx_simple" + "cnx_drops" + "cnx_cnx" * ]
- [ [ "for lenvs on referred entries" ] "rpx" + "( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "rpx_length" + "rpx_fqup" + "rpx_fsle" + "rpx_rdeq" + "rpx_lpx" + "rpx_rpx" * ]
+ [ [ "normal form for terms" ] "cnx" + "( ⦃?,?⦄ ⊢ ⬈[?] 𝐍⦃?⦄ )" "cnx_simple" + "cnx_drops" + "cnx_basic" + "cnx_cnx" * ]
+ [ [ "for lenvs on referred entries" ] "rpx" + "( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "rpx_length" + "rpx_drops" + "rpx_fqup" + "rpx_fsle" + "rpx_rdeq" + "rpx_lpx" + "rpx_rpx" * ]
[ [ "for lenvs on all entries" ] "lpx" + "( ⦃?,?⦄ ⊢ ⬈[?] ? )" "lpx_length" + "lpx_drops" + "lpx_fquq" + "lpx_fsle" + "lpx_rdeq" + "lpx_aaa" * ]
[ [ "for binders" ] "cpx_ext" + "( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" * ]
- [ [ "for terms" ] "cpx" + "( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_fqus" + "cpx_lsubr" + "cpx_req" + "cpx_rdeq" + "cpx_fdeq" * ]
+ [ [ "for terms" ] "cpx" + "( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_drops_basic" + "cpx_fqus" + "cpx_lsubr" + "cpx_req" + "cpx_rdeq" + "cpx_fdeq" * ]
}
]
[ { "bound context-sensitive parallel rt-transition" * } {
]
}
]
- class "water"
- [ { "iterated static typing" * } {
- [ { "iterated generic extension of a context-sensitive relation" * } {
- [ [ "for lenvs on referred entries" ] "rexs" + "( ? ⪤*[?,?] ? )" "rexs_length" + "rexs_lex" + "rexs_drops" + "rexs_fqup" + "rexs_rexs" * ]
- }
- ]
- }
- ]
- class "green"
- [ { "static typing" * } {
- [ { "generic reducibility" * } {
- [ [ "restricted refinement for lenvs" ] "lsubc" + "( ? ⊢ ? ⫃[?] ? )" "lsubc_drops" + "lsubc_lsubr" + "lsubc_lsuba" * ]
- [ [ "candidates" ] "gcp_cr" + "( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
- [ [ "computation properties" ] "gcp" *]
- }
- ]
- [ { "atomic arity assignment" * } {
- [ [ "restricted refinement for lenvs" ] "lsuba" + "( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
- [ [ "for terms" ] "aaa" + "( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_rdeq" + "aaa_fdeq" + "aaa_aaa" * ]
- }
- ]
- [ { "degree-based equivalence" * } {
- [ [ "for closures on referred entries" ] "fdeq" + "( ⦃?,?,?⦄ ≛[?,?] ⦃?,?,?⦄ )" "fdeq_fqup" + "fdeq_fqus" + "fdeq_req" + "fdeq_fdeq" * ]
- [ [ "for lenvs on referred entries" ] "rdeq" + "( ? ≛[?,?,?] ? )" "rdeq_length" + "rdeq_drops" + "rdeq_fqup" + "rdeq_fqus" + "rdeq_req" + "rdeq_rdeq" * ]
- }
- ]
- [ { "syntactic equivalence" * } {
- [ [ "for lenvs on referred entries" ] "req" + "( ? ≡[?] ? )" "req_fqup" + "req_fsle" * ]
- }
- ]
- [ { "generic extension of a context-sensitive relation" * } {
- [ [ "for lenvs on referred entries" ] "rex" + "( ? ⪤[?,?] ? )" "rex_length" + "rex_lex" + "rex_drops" + "rex_fqup" + "rex_fsle" + "rex_rex" * ]
- }
- ]
- [ { "context-sensitive free variables" * } {
- [ [ "inclusion for restricted closures" ] "fsle" + "( ⦃?,?⦄ ⊆ ⦃?,?⦄ )" "fsle_length" + "fsle_drops" + "fsle_fqup" + "fsle_fsle" * ]
- [ [ "restricted refinement for lenvs" ] "lsubf" + "( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )" "lsubf_lsubr" + "lsubf_frees" + "lsubf_lsubf" * ]
- [ [ "for terms" ] "frees" + "( ? ⊢ 𝐅*⦃?⦄ ≘ ? )" "frees_append" + "frees_drops" + "frees_fqup" + "frees_frees" * ]
- }
- ]
- [ { "local environments" * } {
- [ [ "restricted refinement" ] "lsubr" + "( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
- }
- ]
- }
- ]
- class "grass"
- [ { "s-computation" * } {
- [ { "iterated structural successor" * } {
- [ [ "for closures" ] "fqus" + "( ⦃?,?,?⦄ ⊐*[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_weight" + "fqus_drops" + "fqus_fqup" + "fqus_fqus" * ]
- [ [ "proper for closures" ] "fqup" + "( ⦃?,?,?⦄ ⊐+[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_weight" + "fqup_drops" + "fqup_fqup" * ]
- }
- ]
- }
- ]
- class "yellow"
- [ { "s-transition" * } {
- [ { "structural successor" * } {
- [ [ "for closures" ] "fquq" + "( ⦃?,?,?⦄ ⊐⸮[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_length" + "fquq_weight" * ]
- [ [ "proper for closures" ] "fqu" + "( ⦃?,?,?⦄ ⊐[?] ⦃?,?,?⦄ )" + "( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" "fqu_length" + "fqu_weight" + "fqu_tdeq" * ]
- }
- ]
- }
- ]
- class "orange"
- [ { "relocation" * } {
- [ { "generic slicing" * } {
- [ [ "for lenvs" ] "drops" + "( ⬇*[?,?] ? ≘ ? )" + "( ⬇*[?] ? ≘ ? )" "drops_ctc" + "drops_ltc" + "drops_weight" + "drops_length" + "drops_cext2" + "drops_sex" + "drops_lex" + "drops_seq" + "drops_drops" + "drops_vector" * ]
- }
- ]
- [ { "generic relocation" * } {
- [ [ "for binders" ] "lifts_bind" + "( ⬆*[?] ? ≘ ? )" "lifts_weight_bind" + "lifts_lifts_bind" * ]
- [ [ "for term vectors" ] "lifts_vector" + "( ⬆*[?] ? ≘ ? )" "lifts_lifts_vector" * ]
- [ [ "for terms" ] "lifts" + "( ⬆*[?] ? ≘ ? )" "lifts_simple" + "lifts_weight" + "lifts_tdeq" + "lifts_lifts" * ]
- }
- ]
- [ { "syntactic equivalence" * } {
- [ [ "for lenvs on selected entries" ] "seq" + "( ? ≡[?] ? )" "seq_length" + "seq_seq" * ]
- }
- ]
- [ { "generic entrywise extension" * } {
- [ [ "for lenvs of one contex-sensitive relation" ] "lex" + "( ? ⪤[?] ? )" "lex_tc" + "lex_length" + "lex_lex" * ]
- [ [ "for lenvs of two contex-sensitive relations" ] "sex" + "( ? ⪤[?,?,?] ? )" "sex_tc" + "sex_length" + "sex_sex" * ]
- }
- ]
- }
- ]
- class "red"
- [ { "syntax" * } {
- [ { "equivalence up to exclusion binders" * } {
- [ [ "for lenvs" ] "lveq" + "( ? ≋ⓧ*[?,?] ? )" "lveq_length" + "lveq_lveq" * ]
- }
- ]
- [ { "append" * } {
- [ [ "for lenvs" ] "append" + "( ? + ? )" "append_length" * ]
- }
- ]
- [ { "head equivalence" * } {
- [ [ "for terms" ] "theq" + "( ? ⩳[?,?] ? )" "theq_simple" + "theq_tdeq" + "theq_theq" + "theq_simple_vector" * ]
- }
- ]
- [ { "degree-based equivalence" * } {
- [ [ "" ] "tdeq_ext" + "( ? ≛[?,?] ? )" + "( ? ⊢ ? ≛[?,?] ? )" * ]
- [ [ "" ] "tdeq" + "( ? ≛[?,?] ? )" "tdeq_tdeq" * ]
- }
- ]
- [ { "closures" * } {
- [ [ "" ] "cl_weight" + "( ♯{?,?,?} )" * ]
- [ [ "" ] "cl_restricted_weight" + "( ♯{?,?} )" * ]
- }
- ]
- [ { "global environments" * } {
- [ [ "" ] "genv_length" + "( |?| )" * ]
- [ [ "" ] "genv_weight" + "( ♯{?} )" * ]
- [ [ "" ] "genv" * ]
- }
- ]
- [ { "local environments" * } {
- [ [ "" ] "ceq_ext" "ceq_ext_ceq_ext" * ]
- [ [ "" ] "cext2" * ]
- [ [ "" ] "lenv_length" + "( |?| )" * ]
- [ [ "" ] "lenv_weight" + "( ♯{?} )" * ]
- [ [ "" ] "lenv" * ]
- }
- ]
- [ { "binders for local environments" * } {
- [ [ "" ] "ext2" "ext2_tc" + "ext2_ext2" * ]
- [ [ "" ] "bind" "bind_weight" * ]
- }
- ]
- [ { "terms" * } {
- [ [ "" ] "term_vector" + "( Ⓐ?.? )" * ]
- [ [ "" ] "term_simple" + "( 𝐒⦃?⦄ )" * ]
- [ [ "" ] "term_weight" + "( ♯{?} )" * ]
- [ [ "" ] "term" * ]
- }
- ]
- [ { "items" * } {
- [ [ "" ] "item_sd" * ]
- [ [ "" ] "item_sh" * ]
- [ [ "" ] "item" * ]
- }
- ]
- [ { "atomic arities" * } {
- [ [ "" ] "aarity" * ]
- }
- ]
- }
- ]
}
class "top" { * }
class "italic" { 2 }
(*
+
+ [ { "local env. ref. for native type assignment" * } {
+ [ [ "" ] "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
+ }
+ ]
+ [ [ "" ] "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
[ { "decomposed rt-equivalence" * } {
- [ [ "" ] "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
+ "scpes_cpcs" + "scpes_scpes"
}
]
[ [ "for lenvs on referred entries" ] "rpxs" + "( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )" "rpxs_length" + "rpxs_drops" + "rpxs_fqup" + "rpxs_rdeq" + "rpxs_fdeq" + "rpxs_aaa" + "rpxs_cpxs" + "rpxs_lpxs" + "rpxs_rpxs" * ]
[ [ "" ] "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
}
]
- [ { "evaluation for context-sensitive reduction" * } {
- [ [ "" ] "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
- }
- ]
[ { "normal forms for context-sensitive rt-reduction" * } {
[ [ "" ] "cnx_crx" + "cnx_cix" * ]
}
}
]
[ { "normal forms for context-sensitive reduction" * } {
- [ [ "" ] "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
+ "cnr_crr" + "cnr_cir"
}
]
[ { "irreducible forms for context-sensitive reduction" * } {
projects / helm.git / blobdiff