]
class "wine"
[ { "iterated dynamic typing" * } {
- [ { "" (* "higher order native type assignment" *) * } {
- [ [ "" ] (* "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" *) * ]
+ [ { "context-sensitive iterated native type assignment" * } {
+ [ [ "for terms" ] "ntas" + "( ❪?,?❫ ⊢ ? :*[?,?,?] ? )" "ntas_cpcs" + "ntas_nta" + "ntas_nta_ind" + " ntas_ntas" + "ntas_preserve" * ]
}
]
}
]
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" * ]
}
]
-*)
- [ { "native validity" * } {
-(*
- [ [ "" ] "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
-*)
- [ [ "for terms" ] "nv" + "( ⦃?,?⦄ ⊢ ? ![?,?] )" "nv_drops" (* + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_fsb" + "snv_scpes" + "snv_preserve" *) * ]
+ [ { "context-sensitive native validity" * } {
+ [ [ "restricted refinement for lenvs" ] "lsubv ( ? ⊢ ? ⫃![?,?] ? )" "lsubv_drops" + "lsubv_lsubr" + "lsubv_lsuba" + "lsubv_cpms" + "lsubv_cpcs" + "lsubv_cnv" + "lsubv_lsubv" * ]
+ [ [ "for terms" ] "cnv" + "( ❪?,?❫ ⊢ ? ![?,?] )" "cnv_acle" + "cnv_drops" + "cnv_fqus" + "cnv_aaa" + "cnv_fsb" + "cnv_cpm_trans" + "cnv_cpm_conf" + "cnv_cpm_teqx" + "cnv_cpm_teqx_trans" + "cnv_cpm_teqx_conf" + "cnv_cpms_teqx" + "cnv_cpms_conf" + "cnv_cpms_teqx_conf" + "cnv_cpmre" + "cnv_cpmuwe" + "cnv_cpmuwe_cpmre" + "cnv_cpts" + "cnv_cpes" + "cnv_cpcs" + "cnv_preserve_sub" + "cnv_preserve" + "cnv_preserve_cpes" + "cnv_preserve_cpcs" + "cnv_eval" * ]
}
]
}
]
class "prune"
[ { "rt-equivalence" * } {
-(*
- [ { "decomposed rt-equivalence" * } {
- [ [ "" ] "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
+ [ { "context-sensitive parallel r-equivalence" * } {
+ [ [ "for terms" ] "cpcs ( ❪?,?❫ ⊢ ? ⬌*[?] ? )" "cpcs_drops" + "cpcs_lsubr" + "cpcs_aaa" + "cpcs_csx" + "cpcs_cprs" + "cpcs_lprs" + "cpcs_cpc" + "cpcs_cpcs" * ]
}
]
-*)
- [ { "context-sensitive parallel r-equivalence" * } {
- [ [ "for terms" ] "cpcs ( ⦃?,?⦄ ⊢ ? ⬌*[?] ? )" (* "cpcs_aaa" + "cpcs_cprs" + "cpcs_cpcs" *) * ]
+ [ { "t-bound context-sensitive parallel rt-equivalence" * } {
+ [ [ "for terms" ] "cpes ( ❪?,?❫ ⊢ ? ⬌*[?,?,?] ? )" "cpes_aaa" + "cpes_cpms" + "cpes_cpes" * ]
}
]
}
]
class "blue"
[ { "rt-conversion" * } {
+(*
+ [ { "context-sensitive parallel eta-conversion" * } {
+ [ [ "for lenvs on all entries" ] "lpce ( ❪?,?❫ ⊢ ⬌η[?] ? )" "lpce_drops" * ]
+ [ [ "for binders" ] "cpce_ext" + "( ❪?,?❫ ⊢ ? ⬌η[?] ? )" * ]
+ [ [ "for terms" ] "cpce" + "( ❪?,?❫ ⊢ ? ⬌η[?] ? )" "cpce_drops" * ]
+ }
+ ]
+*)
[ { "context-sensitive parallel r-conversion" * } {
- [ [ "for terms" ] "cpc" + "( â¦\83?,?â¦\84 ⊢ ? ⬌[?] ? )" "cpc_cpc" * ]
+ [ [ "for terms" ] "cpc" + "( â\9dª?,?â\9d« ⊢ ? ⬌[?] ? )" "cpc_cpc" * ]
}
]
}
]
class "sky"
[ { "rt-computation" * } {
-(*
- [ { "decomposed rt-computation" * } {
- "scpds_scpds"
+ [ { "context-sensitive parallel t-computation" * } {
+ [ [ "for terms" ] "cpts" + "( ❪?,?❫ ⊢ ? ⬆*[?,?] ? )" "cpts_drops" + "cpts_aaa" + "cpts_cpms" * ]
}
]
-*)
[ { "context-sensitive parallel r-computation" * } {
- [ [ "for lenvs on all entries" ] "lprs ( ⦃?,?⦄ ⊢ ➡*[?] ? )" "lprs_ctc" + "lprs_length" + "lprs_drops" + "lprs_aaa" + "lprs_lpr" + "lprs_lpxs" (* + "lprs_cprs" + "lprs_lprs" *) * ]
- [ [ "for binders" ] "cprs_ext" + "( ⦃?,?⦄ ⊢ ? ➡*[?] ?)" * ]
- [ [ "for terms" ] "cprs" + "( ⦃?,?⦄ ⊢ ? ➡*[?] ?)" "cprs_ctc" + "cprs_drops" + "cprs_lpr" (* + "cprs_cprs" *) * ]
+ [ [ "evaluation for terms" ] "cprre" "cprre_csx" + "cprre_cpms" + "cprre_cprre" * ]
+ [ [ "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_tweq" + "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" * ]
+ [ [ "t-unbound whd evaluation for terms" ] "cpmuwe ( ❪?,?❫ ⊢ ? ➡*𝐍𝐖*[?,?] ? )" "cpmuwe_csx" + "cpmuwe_cpmuwe" * ]
+ [ [ "t-unbound whd normal form for terms" ] "cnuw ( ❪?,?❫ ⊢ ➡𝐍𝐖*[?] ? )" "cnuw_drops" + "cnuw_simple" + "cnuw_cnuw" * ]
+ [ [ "t-bpund evaluation for terms" ] "cpmre ( ❪?,?❫ ⊢ ? ➡*𝐍[?,?] ? )" "cpmre_aaa" * ]
+ [ [ "for terms" ] "cpms" + "( ❪?,?❫ ⊢ ? ➡*[?,?] ? )" "cpms_drops" + "cpms_lsubr" + "cpms_reqx" + "cpms_aaa" + "cpms_lpr" + "cpms_cpxs" + "cpms_fpbs" + "cpms_fpbg" + "cpms_cpms" * ]
}
]
- [ { "unbound context-sensitive parallel rst-computation" * } {
- [ [ "strongly normalizing for closures" ] "fsb" + "( ≥[?,?] 𝐒⦃?,?,?⦄ )" "fsb_ffdeq" + "fsb_aaa" + "fsb_csx" + "fsb_fpbg" * ]
- [ [ "proper for closures" ] "fpbg" + "( â¦\83?,?,?â¦\84 >[?,?] â¦\83?,?,?â¦\84 )" "fpbg_fqup" + "fpbg_cpxs" + "fpbg_lpxs" + "fpbg_fpbs" + "fpbg_fpbg" * ]
- [ [ "for closures" ] "fpbs" + "( â¦\83?,?,?â¦\84 â\89¥[?,?] â¦\83?,?,?â¦\84 )" "fpbs_fqup" + "fpbs_fqus" + "fpbs_aaa" + "fpbs_cpx" + "fpbs_fpb" + "fpbs_cpxs" + "fpbs_lpxs" + "fpbs_csx" + "fpbs_fpbs" * ]
+ [ { "extended context-sensitive parallel rst-computation" * } {
+ [ [ "strongly normalizing for closures" ] "fsb" + "( ≥𝐒 ❪?,?,?❫ )" "fsb_feqx" + "fsb_aaa" + "fsb_csx" + "fsb_fpbg" * ]
+ [ [ "proper for closures" ] "fpbg" + "( â\9dª?,?,?â\9d« > â\9dª?,?,?â\9d« )" "fpbg_fqup" + "fpbg_cpxs" + "fpbg_lpxs" + "fpbg_fpbs" + "fpbg_fpbg" * ]
+ [ [ "for closures" ] "fpbs" + "( â\9dª?,?,?â\9d« â\89¥ â\9dª?,?,?â\9d« )" "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" + "( â¦\83?,?â¦\84 â\8a¢ â¬\88*[?,?] ð\9d\90\92â¦\83?â¦\84 )" "csx_cnx_vector" + "csx_csx_vector" * ]
- [ [ "strongly normalizing for terms" ] "csx" + "( â¦\83?,?â¦\84 â\8a¢ â¬\88*[?,?] ð\9d\90\92â¦\83?â¦\84 )" "csx_simple" + "csx_simple_theq" + "csx_drops" + "csx_fqus" + "csx_lsubr" + "csx_lfdeq" + "csx_ffdeq" + "csx_aaa" + "csx_gcp" + "csx_gcr" + "csx_lpx" + "csx_cnx" + "csx_fpbq" + "csx_cpxs" + "csx_lpxs" + "csx_csx" * ]
- [ [ "for lenvs on all entries" ] "lpxs" + "( â¦\83?,?â¦\84 â\8a¢ â¬\88*[?] ? )" "lpxs_length" + "lpxs_drops" + "lpxs_lfdeq" + "lpxs_ffdeq" + "lpxs_aaa" + "lpxs_lpx" + "lpxs_cpxs" + "lpxs_lpxs" * ]
- [ [ "for binders" ] "cpxs_ext" + "( â¦\83?,?â¦\84 â\8a¢ ? â¬\88*[?] ? )" * ]
- [ [ "for terms" ] "cpxs" + "( â¦\83?,?â¦\84 â\8a¢ ? â¬\88*[?] ? )" "cpxs_tdeq" + "cpxs_theq" + "cpxs_theq_vector" + "cpxs_drops" + "cpxs_fqus" + "cpxs_lsubr" + "cpxs_lfdeq" + "cpxs_ffdeq" + "cpxs_aaa" + "cpxs_lpx" + "cpxs_cnx" + "cpxs_cpxs" * ]
+ [ { "extended context-sensitive parallel rt-computation" * } {
+ [ [ "compatibility for lenvs" ] "jsx" + "( ? ⊢ ? ⊒ ? )" "jsx_drops" + "jsx_lsubr" + "jsx_csx" + "jsx_rsx" + "jsx_jsx" * ]
+ [ [ "strongly normalizing for lenvs on referred entries" ] "rsx" + "( ? ⊢ ⬈*𝐒[?] ? )" "rsx_length" + "rsx_drops" + "rsx_fqup" + "rsx_cpxs" + "rsx_csx" + "rsx_rsx" * ]
+ [ [ "strongly normalizing for term vectors" ] "csx_vector" + "( â\9dª?,?â\9d« â\8a¢ â¬\88*ð\9d\90\92 ? )" "csx_cnx_vector" + "csx_csx_vector" * ]
+ [ [ "strongly normalizing for terms" ] "csx" + "( â\9dª?,?â\9d« â\8a¢ â¬\88*ð\9d\90\92 ? )" "csx_simple" + "csx_simple_teqo" + "csx_drops" + "csx_fqus" + "csx_lsubr" + "csx_reqx" + "csx_feqx" + "csx_aaa" + "csx_gcp" + "csx_gcr" + "csx_lpx" + "csx_cnx" + "csx_fpbq" + "csx_cpxs" + "csx_lpxs" + "csx_csx" * ]
+ [ [ "for lenvs on all entries" ] "lpxs" + "( â\9dª?,?â\9d« â\8a¢ â¬\88* ? )" "lpxs_length" + "lpxs_drops" + "lpxs_reqx" + "lpxs_feqx" + "lpxs_aaa" + "lpxs_lpx" + "lpxs_cpxs" + "lpxs_lpxs" * ]
+ [ [ "for binders" ] "cpxs_ext" + "( â\9dª?,?â\9d« â\8a¢ ? â¬\88* ? )" * ]
+ [ [ "for terms" ] "cpxs" + "( â\9dª?,?â\9d« â\8a¢ ? â¬\88* ? )" "cpxs_teqx" + "cpxs_teqo" + "cpxs_teqo_vector" + "cpxs_drops" + "cpxs_fqus" + "cpxs_lsubr" + "cpxs_reqx" + "cpxs_feqx" + "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_lfdeq" + "fpb_ffdeq" * ]
+ [ { "context-sensitive parallel t-transition" * } {
+ [ [ "for terms" ] "cpt" + "( ❪?,?❫ ⊢ ? ⬆[?,?] ? )" "cpt_drops" + "cpt_fqu" + "cpt_cpm" * ]
}
]
[ { "context-sensitive parallel r-transition" * } {
- [ [ "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" * ]
+ [ [ "normal form for terms" ] "cnr ( ❪?,?❫ ⊢ ➡𝐍[?,?] ? )" "cnr_simple" + "cnr_teqx" + "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_drops_basic" + "cpr_teqx" + "cpr_cpr" * ]
}
]
[ { "t-bound context-sensitive parallel rt-transition" * } {
- [ [ "for terms" ] "cpm" + "( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_fsle" + "cpm_aaa" + "cpm_cpx" * ]
- }
- ]
- [ { "unbound context-sensitive parallel rt-transition" * } {
- [ [ "normal form for terms" ] "cnx" + "( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )" "cnx_simple" + "cnx_drops" + "cnx_cnx" * ]
- [ [ "for lenvs on referred entries" ] "lfpx" + "( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_fqup" + "lfpx_fsle" + "lfpx_lfdeq" + "lfpx_lpx" + "lfpx_lfpx" * ]
- [ [ "for lenvs on all entries" ] "lpx" + "( ⦃?,?⦄ ⊢ ⬈[?] ? )" "lpx_length" + "lpx_drops" + "lpx_fquq" + "lpx_fsle" + "lpx_lfdeq" + "lpx_aaa" * ]
- [ [ "for binders" ] "cpx_ext" + "( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" * ]
- [ [ "for terms" ] "cpx" + "( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_fqus" + "cpx_lsubr" + "cpx_lfeq" + "cpx_lfdeq" + "cpx_ffdeq" * ]
- }
- ]
- [ { "bound context-sensitive parallel rt-transition" * } {
- [ [ "for terms" ] "cpg" + "( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
- }
- ]
- }
- ]
- class "water"
- [ { "iterated static typing" * } {
- [ { "iterated generic extension of a context-sensitive relation" * } {
- [ [ "for lenvs on referred entries" ] "tc_lfxs" + "( ? ⦻**[?,?] ? )" "tc_lfxs_length" + "tc_lfxs_lex" + "tc_lfxs_drops" + "tc_lfxs_fqup" + "tc_lfxs_tc_lfxs" * ]
- }
- ]
- }
- ]
- 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_lfdeq" + "aaa_ffdeq" + "aaa_aaa" * ]
- }
- ]
- [ { "degree-based equivalence" * } {
- [ [ "for closures on referred entries" ] "ffdeq" + "( ⦃?,?,?⦄ ≛[?,?] ⦃?,?,?⦄ )" "ffdeq_fqup" + "ffdeq_fqus" + "ffdeq_lfeq" + "ffdeq_ffdeq" * ]
- [ [ "for lenvs on referred entries" ] "lfdeq" + "( ? ≛[?,?,?] ? )" "lfdeq_length" + "lfdeq_drops" + "lfdeq_fqup" + "lfdeq_fqus" + "lfdeq_lfeq" + "lfdeq_lfdeq" * ]
- }
- ]
- [ { "syntactic equivalence" * } {
- [ [ "for lenvs on referred entries" ] "lfeq" + "( ? ≡[?] ? )" "lfeq_fqup" + "lfeq_fsle" * ]
- }
- ]
- [ { "generic extension of a context-sensitive relation" * } {
- [ [ "for lenvs on referred entries" ] "lfxs" + "( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_lex" + "lfxs_drops" + "lfxs_fqup" + "lfxs_fsle" + "lfxs_lfxs" * ]
- }
- ]
- [ { "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_lexs" + "drops_lex" + "drops_lreq" + "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" * ]
+ [ [ "for terms" ] "cpm" + "( ❪?,?❫ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_teqx" + "cpm_drops" + "cpm_lsubr" + "cpm_fsle" + "cpm_aaa" + "cpm_cpx" * ]
}
]
- [ { "syntactic equivalence" * } {
- [ [ "for lenvs on selected entries" ] "lreq" + "( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
+ [ { "extended parallel rst-transition" * } {
+ [ [ "for closures" ] "fpbq" + "( ❪?,?,?❫ ≽ ❪?,?,?❫ )" "fpbq_aaa" + "fpbq_fpb" * ]
+ [ [ "proper for closures" ] "fpb" + "( ❪?,?,?❫ ≻ ❪?,?,?❫ )" "fpb_reqx" + "fpb_feqx" * ]
}
]
- [ { "generic entrywise extension" * } {
- [ [ "for lenvs of one contex-sensitive relation" ] "lex" + "( ? ⦻[?] ? )" "lex_tc" + "lex_length" + "lex_lex" * ]
- [ [ "for lenvs of two contex-sensitive relations" ] "lexs" + "( ? ⦻*[?,?,?] ? )" "lexs_tc" + "lexs_length" + "lexs_lexs" * ]
+ [ { "extended context-sensitive parallel rt-transition" * } {
+ [ [ "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_reqx" + "rpx_lpx" + "rpx_rpx" * ]
+ [ [ "for lenvs on all entries" ] "lpx" + "( ❪?,?❫ ⊢ ⬈ ? )" "lpx_length" + "lpx_drops" + "lpx_fquq" + "lpx_fsle" + "lpx_reqx" + "lpx_aaa" * ]
+ [ [ "for binders" ] "cpx_ext" + "( ❪?,?❫ ⊢ ? ⬈ ? )" * ]
+ [ [ "for terms" ] "cpx" + "( ❪?,?❫ ⊢ ? ⬈ ? )" "cpx_simple" + "cpx_drops" + "cpx_drops_basic" + "cpx_fqus" + "cpx_lsubr" + "cpx_req" + "cpx_reqx" + "cpx_feqx" * ]
}
]
- }
- ]
- 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" * ]
+ [ { "bound context-sensitive parallel rt-transition" * } {
+ [ [ "for terms" ] "cpg" + "( ❪?,?❫ ⊢ ? ⬈[?,?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
}
]
}
class "italic" { 2 }
(*
- [ [ "for lenvs on referred entries" ] "lfpxs" + "( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )" "lfpxs_length" + "lfpxs_drops" + "lfpxs_fqup" + "lfpxs_lfdeq" + "lfpxs_ffdeq" + "lfpxs_aaa" + "lfpxs_cpxs" + "lfpxs_lpxs" + "lfpxs_lfpxs" * ]
- [ [ "for lenvs on referred entries" ]
- "lfpr" + "( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fquq" + "lfpr_fqup" + "lfpr_aaa" + "lfpr_lfpx" + "lfpr_lfpr" * ]
- [ { "evaluation for context-sensitive rt-reduction" * } {
- [ [ "" ] "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
+
+ [ { "local env. ref. for native type assignment" * } {
+ [ [ "" ] "lsubn ( ? ⊢ ? :⫃ ? )" "lsubn_drop" "lsubn_cpcs" "lsubn_nta" * ]
}
]
- [ { "evaluation for context-sensitive reduction" * } {
- [ [ "" ] "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
+ [ [ "" ] "shnv ( ❪?,?❫ ⊢ ? ¡[?,?,?] )" * ]
+ [ { "decomposed rt-equivalence" * } {
+ "scpes_cpcs" + "scpes_scpes"
+ }
+ ]
+ [ [ "for lenvs on referred entries" ] "rpxs" + "( ❪?,?❫ ⊢ ⬈*[?,?] ? )" "rpxs_length" + "rpxs_drops" + "rpxs_fqup" + "rpxs_reqx" + "rpxs_feqx" + "rpxs_aaa" + "rpxs_cpxs" + "rpxs_lpxs" + "rpxs_rpxs" * ]
+ [ [ "for lenvs on referred entries" ]
+ "lfpr" + "( ❪?,?❫ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fquq" + "lfpr_fqup" + "lfpr_aaa" + "lfpr_rpx" + "lfpr_lfpr" * ]
+ [ { "evaluation for context-sensitive rt-reduction" * } {
+ [ [ "" ] "cpxe ( ❪?,?❫ ⊢ ➡*[?,?] 𝐍❪?❫ )" * ]
}
]
[ { "normal forms for context-sensitive rt-reduction" * } {
}
]
[ { "irreducible forms for context-sensitive rt-reduction" * } {
- [ [ "" ] "cix ( â¦\83?,?â¦\84 â\8a¢ â\9e¡[?,?] ð\9d\90\88â¦\83?â¦\84 )" "cix_lift" * ]
+ [ [ "" ] "cix ( â\9dª?,?â\9d« â\8a¢ â\9e¡[?,?] ð\9d\90\88â\9dª?â\9d« )" "cix_lift" * ]
}
]
[ { "reducible forms for context-sensitive rt-reduction" * } {
- [ [ "" ] "crx ( â¦\83?,?â¦\84 â\8a¢ â\9e¡[?,?] ð\9d\90\91â¦\83?â¦\84 )" "crx_lift" * ]
+ [ [ "" ] "crx ( â\9dª?,?â\9d« â\8a¢ â\9e¡[?,?] ð\9d\90\91â\9dª?â\9d« )" "crx_lift" * ]
}
]
[ { "normal forms for context-sensitive reduction" * } {
- [ [ "" ] "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
+ "cnr_crr" + "cnr_cir"
}
]
[ { "irreducible forms for context-sensitive reduction" * } {
- [ [ "" ] "cir ( â¦\83?,?â¦\84 â\8a¢ â\9e¡ ð\9d\90\88â¦\83?â¦\84 )" "cir_lift" * ]
+ [ [ "" ] "cir ( â\9dª?,?â\9d« â\8a¢ â\9e¡ ð\9d\90\88â\9dª?â\9d« )" "cir_lift" * ]
}
]
[ { "reducible forms for context-sensitive reduction" * } {
- [ [ "" ] "crr ( â¦\83?,?â¦\84 â\8a¢ â\9e¡ ð\9d\90\91â¦\83?â¦\84 )" "crr_lift" * ]
+ [ [ "" ] "crr ( â\9dª?,?â\9d« â\8a¢ â\9e¡ ð\9d\90\91â\9dª?â\9d« )" "crr_lift" * ]
}
]
[ { "unfold" * } {
- [ [ "" ] "unfold ( â¦\83?,?â¦\84 ⊢ ? ⧫* ? )" * ]
+ [ [ "" ] "unfold ( â\9dª?,?â\9d« ⊢ ? ⧫* ? )" * ]
}
]
[ { "iterated static type assignment" * } {
- [ [ "" ] "lstas ( â¦\83?,?â¦\84 ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
+ [ [ "" ] "lstas ( â\9dª?,?â\9d« ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
}
]
[ { "local env. ref. for degree assignment" * } {
}
]
[ { "degree assignment" * } {
- [ [ "" ] "da ( â¦\83?,?â¦\84 ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
+ [ [ "" ] "da ( â\9dª?,?â\9d« ⊢ ? ▪[?,?] ? )" "da_lift" + "da_aaa" + "da_da" * ]
}
]
[ { "context-sensitive multiple rt-substitution" * } {
- [ [ "" ] "cpys ( â¦\83?,?â¦\84 â\8a¢ ? â\96¶*[?,?] ? )" "cpys_alt ( â¦\83?,?â¦\84 ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
+ [ [ "" ] "cpys ( â\9dª?,?â\9d« â\8a¢ ? â\96¶*[?,?] ? )" "cpys_alt ( â\9dª?,?â\9d« ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
}
]
[ { "global env. slicing" * } {
- [ [ "" ] "gget ( â¬\87[?] ? ≘ ? )" "gget_gget" * ]
+ [ [ "" ] "gget ( â\87©[?] ? ≘ ? )" "gget_gget" * ]
}
]
[ { "context-sensitive ordinary rt-substitution" * } {
- [ [ "" ] "cpy ( â¦\83?,?â¦\84 ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
+ [ [ "" ] "cpy ( â\9dª?,?â\9d« ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
}
]
[ { "local env. ref. for rt-substitution" * } {
projects / helm.git / blobdiff