*)
class "water"
[ { "rt-transition" * } {
-(*
- [ { "parallel qrst-reduction" * } {
- [ "fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )" "fpbq_lift" + "fpbq_aaa" * ]
- [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_lleq" + "fpb_fleq" * ]
+ [ { "parallel qrst-rtransition" * } {
+(* [ "fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )" + "fpbq_aaa" * ] *)
+ [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" (* "fpb_lleq" + "fpb_fleq" *) * ]
}
]
+(*
[ { "context-sensitive rt-reduction" * } {
[ "lpx_lleq" * ]
- [ "cpx_lreq" + "cpx_fqus" + "cpx_llpx_sn" + "cpx_lleq" * ]
+ [ "cpx_lleq" * ]
}
]
*)
[ { "t-bound context-sensitive rt-transition" * } {
[ "lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fqup" + "lfpr_frees" + "lfpr_aaa" + "lfpr_lfpx" + "lfpr_lfpr" * ]
- [ "cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" (* + "cpr_llpx_sn" + "cpr_cir" *) * ]
- [ "cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_cpx" * ]
+ [ "cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" * ]
+ [ "cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_lfxs" + "cpm_cpx" * ]
}
]
[ { "uncounted context-sensitive rt-transition" * } {
[ "lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_drops" + "lfpx_fqup" + "lfpx_frees" + "lfpx_aaa" * ]
- [ "cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_lsubr" * ]
+ [ "cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_fqus" + "cpx_lsubr" + "cpx_lfxs" + "cpx_lfdeq" * ]
}
]
[ { "counted context-sensitive rt-transition" * } {
]
class "green"
[ { "static typing" * } {
- [ { "parameters" * } {
- [ "sh" "sd" * ]
- }
- ]
[ { "restricted ref. for atomic arity assignment" * } {
[ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
}
]
[ { "atomic arity assignment" * } {
- [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfeq" + "aaa_aaa" * ]
+ [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfdeq" + "aaa_aaa" * ]
}
]
- [ { "equivalence for closures on referred entries" * } {
- [ "ffeq ( ⦃?,?,?⦄ ≡ ⦃?,?,?⦄ )" "ffeq_freq" * ]
+ [ { "degree-based equivalence for closures on referred entries" * } {
+ [ "ffdeq ( ⦃?,?,?⦄ ≡[?,?] ⦃?,?,?⦄ )" "ffdeq_fqup" + "ffdeq_ffdeq" * ]
}
]
- [ { "equivalence for local environments on referred entries" * } {
- [ "lfeq ( ? ≡[?] ? )" "lfeq_length" + "lfeq_lreq" + "lfeq_fqup" + "lfeq_lfeq" * ]
+ [ { "degree-based equivalence for local environments on referred entries" * } {
+ [ "lfdeq ( ? ≡[?,?,?] ? )" "lfdeq_length" + "lfdeq_fqup" + "lfdeq_lfdeq" * ]
}
]
[ { "generic extension on referred entries" * } {
}
]
[ { "context-sensitive free variables" * } {
- [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_weight" + "frees_lreq" + "frees_drops" + "frees_fqup" + "frees_frees" * ]
+ [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_weight" + "frees_drops" + "frees_fqup" + "frees_frees" * ]
}
]
[ { "restricted ref. for local env." * } {
]
[ { "generic relocation for terms" * } {
[ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lifts_vector" * ]
- [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_lifts" * ]
+ [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_tdeq" + "lifts_lifts" * ]
}
]
[ { "ranged equivalence for local environments" * } {
}
]
class "red"
- [ { "grammar" * } {
+ [ { "syntax" * } {
[ { "append for local environments" * } {
[ "append ( ? @@ ? )" "append_length" * ]
}
]
- [ { "context-sensitive equivalences for terms" * } {
- [ "ceq" "ceq_ceq" * ]
+ [ { "degree-based equivalence for terms" * } {
+ [ "deq ( ? ≡[?,?] ? ) " "deq_deq" * ]
}
]
[ { "same top term structure" * } {
}
]
[ { "closures" * } {
- [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
+ [ "cl_weight ( ♯{?,?,?} )" * ]
+ [ "cl_restricted_weight ( ♯{?,?} )" * ]
}
]
- [ { "internal syntax" * } {
+ [ { "global environments" * } {
[ "genv" * ]
- [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" * ]
- [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector ( Ⓐ?.? )" * ]
+ }
+ ]
+ [ { "local environments" * } {
+ [ "lenv_length ( |?| )" * ]
+ [ "lenv_weight ( ♯{?} )" * ]
+ [ "lenv" * ]
+ }
+ ]
+ [ { "terms" * } {
+ [ "term_vector ( Ⓐ?.? )" * ]
+ [ "term_simple ( 𝐒⦃?⦄ )" * ]
+ [ "term_weight ( ♯{?} )" * ]
+ [ "term" * ]
+ }
+ ]
+ [ { "items" * } {
+ [ "item_sd" * ]
+ [ "item_sh" * ]
[ "item" * ]
}
]
- [ { "external syntax" * } {
+ [ { "atomic arities" * } {
[ "aarity" * ]
}
]
[ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
}
]
+ [ "cpx_lreq" + "cpr_cir" + "fpb_lift" + "fpbq_lift" ]
[ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
*)