]
}
]
+(*
class "wine"
[ { "examples" * } {
[ { "terms with special features" * } {
- [ "ex_sta_ldec" + "ex_cpr_omega" + "ex_fpbg_refl" * ]
+ [ "ex_sta_ldec" + "ex_cpr_omega" + "ex_fpbg_refl" + "ex_snv_eta" * ]
}
]
}
]
[ { "stratified native validity" * } {
[ "shnv ( ⦃?,?⦄ ⊢ ? ¡[?,?,?] )" * ]
- [ "snv ( ⦃?,?⦄ ⊢ ? ¡[?,?] )" "snv_lift" + "snv_aaa" + "snv_da_lpr" + "snv_lstas" + "snv_lstas_lpr" + "snv_lpr" + "snv_scpes" + "snv_preserve" * ]
+ [ "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" * } {
+ [ { "decomposed rt-equivalence" * } {
[ "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
}
]
]
class "cyan"
[ { "computation" * } {
- [ { "evaluation for context-sensitive extended reduction" * } {
+ [ { "evaluation for context-sensitive rt-reduction" * } {
[ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
}
]
}
]
[ { "strongly normalizing qrst-computation" * } {
- [ "fsb ( â¦\83?,?â¦\84 â\8a¢ ⦥[?,?] ? )" "fsb_alt ( â¦\83?,?â¦\84 â\8a¢ ⦥⦥[?,?] ? )" "fsb_aaa" + "fsb_csx" * ]
+ [ "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_tsts_vector" + "csx_aaa" * ]
[ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_aaa" + "fpbs_fpb" + "fpbs_fpbs" * ]
}
]
- [ { "decomposed extended computation" * } {
+ [ { "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_tsts" + "cpxs_tsts_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" * } {
[ "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" * } {
+ [ { "context-sensitive rt-reduction" * } {
[ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_drop" + "lpx_frees" + "lpx_lleq" + "lpx_aaa" * ]
- [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_leq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
+ [ "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" * ]
}
]
]
}
]
- 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" * ]
- }
- ]
- [ { "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" * ]
- }
- ]
- [ { "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" * } {
+
+ [ { "context-sensitive multiple rt-substitution" * } {
[ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
}
]
[ "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" * ]
+ [ { "pointwise union for local environments" * } {
+ [ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
}
]
[ { "support for multiple relocation" * } {
[ "mr2 ( @⦃?,?⦄ ≡ ? )" "mr2_plus ( ? + ? )" "mr2_minus ( ? ▭ ? ≡ ? )" "mr2_mr2" * ]
}
]
- }
- ]
- class "orange"
- [ { "substitution" * } {
+ [ { "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" * ]
+ }
+ ]
[ { "structural successor for closures" * } {
[ "fquq ( ⦃?,?,?⦄ ⊐⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊐⊐⸮ ⦃?,?,?⦄ )" * ]
[ "fqu ( ⦃?,?,?⦄ ⊐ ⦃?,?,?⦄ )" * ]
[ "gget ( ⬇[?] ? ≡ ? )" "gget_gget" * ]
}
]
- [ { "contxt-sensitive extended ordinary substitution" * } {
+ [ { "context-sensitive ordinary rt-substitution" * } {
[ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
}
]
- [ { "local env. ref. for extended substitution" * } {
+ [ { "local env. ref. for rt-substitution" * } {
[ "lsuby ( ? ⊆[?,?] ? )" "lsuby_lsuby" * ]
}
]
[ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
}
]
- [ { "basic local env. slicing" * } {
- [ "drop ( ⬇[?,?,?] ? ≡ ? )" "drop_append" + "drop_leq" + "drop_drop" * ]
+ [ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
+*)
+ class "yellow"
+ [ { "relocation" * } {
+ [ { "ranged equivalence for closures" * } {
+ [ "freq ( ⦃?,?,?⦄ ≡ ⦃?,?,?⦄ )" "freq_freq" * ]
}
]
- [ { "basic term relocation" * } {
- [ "lift_vector ( ⬆[?,?] ? ≡ ? )" "lift_lift_vector" * ]
- [ "lift ( ⬆[?,?] ? ≡ ? )" "lift_neq" + "lift_lift" * ]
+ [ { "context-sensitive free variables" * } {
+ [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_weight" + "frees_lreq" + "frees_frees" * ]
+ }
+ ]
+ [ { "generic slicing for local environments" * } {
+ [ "drops_vector ( ⬇*[?,?] ? ≡ ? )" * ]
+ [ "drops ( ⬇*[?,?] ? ≡ ? )" "drops_lstar" + "drops_weight" + "drops_length" + "drops_ceq" + "drops_lexs" + "drops_lreq" + "drops_drops" * ]
+ }
+ ]
+ [ { "generic relocation for terms" * } {
+ [ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lift_vector" * ]
+ [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_lifts" * ]
+ }
+ ]
+ [ { "ranged equivalence for local environments" * } {
+ [ "lreq ( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
+ }
+ ]
+ [ { "generic entrywise extension of context-sensitive relations for terma" * } {
+ [ "lexs ( ? ⦻*[?,?,?] ? )" "lexs_length" + "lexs_lexs" * ]
+ }
+ ]
+ }
+ ]
+ class "orange"
+ [ { "" * } {
+ [ { "" * } {
+ [ * ]
}
]
}
]
class "red"
[ { "grammar" * } {
- [ { "equivalence for local environments" * } {
- [ "leq ( ? ⩬[?,?] ? )" "leq_leq" * ]
+ [ { "context-sensitive equivalences for terms" * } {
+ [ "ceq" "ceq_ceq" * ]
}
]
[ { "same top term structure" * } {