}
]
(*
- class "wine"
- [ { "examples" * } {
- [ { "" * } {
- [ "" * ]
- }
- ]
- }
- ]
class "magenta"
[ { "higher order dynamic typing" * } {
[ { "higher order native type assignment" * } {
}
]
[ { "context-sensitive computation" * } {
- [ "cprs (? ⊢ ? ➡* ?)" "cprs_lift" + "cprs_tpss" + "cprs_ltpss_dx" + "cprs_ltpss_sn" + "cprs_delift" + "cprs_aaa" + "cprs_ltpr" + "cprs_lfpr" + "cprs_cprs" + "cprs_lfprs" + "cprs_tstc" + "cprs_tstc_vector" * ]
- }
- ]
- [ { "context-free computation" * } {
- [ "ltprs ( ? ➡* ? )" "ltprs_alt ( ? ➡➡* ? )" "ltprs_ldrop" + "ltprs_ltprs" * ]
- [ "tprs ( ? ➡* ?)" "tprs_lift" + "tprs_tprs" * ]
+ [ "lprs ( ? ⊢ ➡* ? )" "lprs_alt ( ? ⊢ ➡➡* ? )" "lprs_ldrop" + "lprs_aaa" + "lprs_cprs" + "lprs_lprs" * ]
+ [ "cprs ( ? ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cpss" + "cprs_ltpss_dx" + "cprs_ltpss_sn" + "cprs_aaa" + "cprs_lpr" + "cprs_cprs" + "cprs_tstc" + "cprs_tstc_vector" * ]
}
]
[ { "local env. ref. for abstract candidates of reducibility" * } {
}
]
class "water"
- [ { "reducibility" * } {
- [ { "context-sensitive focalized reduction" * } {
- [ "cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )" "cnfpr_ltpss" + "cfpr_aaa" + "cfpr_cpr" + "cfpr_cfpr" * ]
- }
- ]
- [ { "context-free focalized reduction" * } {
- [ "lfpr ( ⦃?⦄ ➡ ⦃?⦄ )" "lfpr_alt ( ⦃?⦄ ➡➡ ⦃?⦄ )" "lfpr_aaa" + "lfpr_cpr" + "lfpr_fpr" + "lfpr_lfpr" * ]
- [ "fpr ( ⦃?,?⦄ ➡ ⦃?,?⦄ )" "fpr_cpr" + "fpr_fpr" * ]
- }
- ]
+ [ { "reduction" * } {
[ { "context-sensitive normal forms" * } {
- [ "cnf ( ? ⊢ 𝐍⦃?⦄ )" "cnf_lift" + "cnf_cif" * ]
+ [ "cnf ( ? ⊢ 𝐍⦃?⦄ )" "cnf_liftt" + "cnf_crf" + "cnf_cif" * ]
}
]
[ { "context-sensitive reduction" * } {
- [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" + "cpr_tpss" + "cpr_ltpss_dx" + "cpr_ltpss_sn" + "cpr_delift" + "cpr_aaa" + "cpr_ltpr" + "cpr_cpr" * ]
+ [ "lpr ( ? ⊢ ➡ ? )" "lpr_ldrop" + "lpr_lpss" + "lpr_aaa" + "lpr_lpr" * ]
+ [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" + "cpr_cif" * ]
}
]
[ { "context-sensitive reducible forms" * } {
[ "crf ( ? ⊢ 𝐑⦃?⦄ )" "crf_append" "cif ( ? ⊢ 𝐈⦃?⦄ )" "cif_append" * ]
}
]
- [ { "context-free normal forms" * } {
- [ "thnf ( 𝐇𝐍⦃?⦄ )" * ]
+ }
+ ]
+ class "green"
+ [ { "unfold" * } {
+ [ { "restricted parallel computation" * } {
+ [ "lpqs ( ? ⊢ ➤* ? )" "lpqs_ldrop" + "lpqs_cpqs" + "lpqs_lpqs" * ]
+ [ "cpqs ( ? ⊢ ? ➤* ? )" "cpqs_lift" * ]
}
]
- [ { "context-free reduction" * } {
- [ "ltpr ( ? ➡ ? )" "ltpr_ldrop" + "ltpr_tps" + "ltpr_tpss" + "ltpr_ltpss_dx" + "ltpr_ltpss_sn" + "ltpr_aaa" + "ltpr_ltpr" * ]
- [ "tpr ( ? ➡ ? )" "tpr_lift" + "tpr_delift" + "tpr_tpr" * ]
+ [ { "unfold" * } {
+ [ "unfold ( ? ⊢ ? ⧫* ? )" * ]
}
]
- }
- ]
- class "green"
- [ { "unwind" * } {
[ { "iterated stratified static type assignment" * } {
- [ "sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )" "sstas_lift" + "sstas_ltpss_dx" + "sstas_ltpss_sn" + "sstas_aaa" + "sstas_sstas" * ]
+ [ "sstas ( ⦃?,?⦄ ⊢ ? •*[?] ? )" "sstas_lift" + "sstas_lpss" + "sstas_aaa" + "sstas_sstas" * ]
}
]
}
class "grass"
[ { "static typing" * } {
[ { "stratified static type assignment" * } {
- [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_ltpss_dx" + "ssta_ltpss_sn" + "ssta_aaa" + "ssta_ssta" * ]
+ [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_lpss" + "ssta_aaa" + "ssta_ssta" * ]
}
]
[ { "local env. ref. for atomic arity assignment" * } {
}
]
[ { "atomic arity assignment" * } {
- [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_ltpss_dx" + "aaa_ltpss_sn" + "aaa_aaa" * ]
+ [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_lpss" + "aaa_aaa" * ]
}
]
[ { "parameters" * } {
}
]
class "yellow"
- [ { "unfold" * } {
- [ { "basic local env. thinning" * } {
- [ "thin ( ? ▼*[?,?] ≡ ? )" "thin_ldrop" + "thin_delift" * ]
- }
- ]
- [ { "inverse basic term relocation" * } {
- [ "delift ( ? ⊢ ? ▼*[?,?] ≡ ? )" "delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )" "delift_lift" + "delift_tpss" + "delift_ltpss" + "delift_delift" * ]
- }
- ]
- [ { "revised parallel substitution" * } {
- [ "lcpss ( ? ⊢ ▶* ? )" "lcpss_ldrop" + "lcpss_cpss" + "lcpss_lcpss" * ]
+ [ { "substitution" * } {
+ [ { "parallel substitution" * } {
+ [ "lpss ( ? ⊢ ▶* ? )" "lpss_ldrop" + "lpss_cpss" + "lpss_lpss" * ]
[ "cpss ( ? ⊢ ? ▶* ? )" "cpss_lift" * ]
}
]
- [ { "partial unfold" * } {
- [ "ltpss_sn ( ? ⊢ ▶*[?,?] ? )" "ltpss_sn_alt ( ? ⊢ ▶▶*[?,?] ? )" "ltpss_sn_ldrop" + "ltpss_sn_tps" + "ltpss_sn_tpss" + "ltpss_sn_ltpss_sn" * ]
- [ "ltpss_dx ( ? ▶*[?,?] ? )" "ltpss_dx_ldrop" + "ltpss_dx_tps" + "ltpss_dx_tpss" + "ltpss_dx_ltpss_dx" * ]
- [ "tpss ( ? ⊢ ? ▶*[?,?] ? )" "tpss_alt ( ? ⊢ ? ▶▶*[?,?] ? )" "tpss_lift" "tpss_tpss" * ]
+ [ { "local env. ref. for substitution" * } {
+ [ "lsubr ( ? ⊑ ? )" "lsubr_lsubr" * ]
}
]
[ { "iterated structural successor for closures" * } {
+ [ "fsups ( ⦃?,?⦄ ⊃* ⦃?,?⦄ )" "fsups_fsups" * ]
[ "fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )" "fsupp_fsupp" * ]
}
]
}
]
class "orange"
- [ { "substitution" * } {
- [ { "parallel substitution" * } {
- [ "tps ( ? ⊢ ? ▶[?,?] ? )" "tps_lift" + "tps_tps" * ]
- }
- ]
+ [ { "relocation" * } {
[ { "structural successor for closures" * } {
[ "fsup ( ⦃?,?⦄ ⊃ ⦃?,?⦄ )" * ]
}
}
]
[ { "basic local env. slicing" * } {
- [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx" + "ldrop_lbotr" + "ldrop_ldrop" * ]
- }
- ]
- [ { "local env. ref. for substitution" * } {
- [ "lsubr ( ? ⊑[?,?] ? )" "(lsubr_lsubr)" "lsubr_lbotr ( ⊒[?,?] ? )" * ]
+ [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx_sn" + "ldrop_ldrop" * ]
}
]
[ { "basic term relocation" * } {
]
class "red"
[ { "grammar" * } {
- [ { "same head term form" * } {
- [ "tshf ( ? ≈ ? )" "(tshf_tshf)" * ]
+ [ { "pointwise extension of a relation" * } {
+ [ "lpx_sn" "lpx_sn_tc" + "lpx_sn_lpx_sn" * ]
}
]
[ { "same top term constructor" * } {
]
[ { "internal syntax" * } {
[ "genv" * ]
- [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" "lenv_px" + "lenv_px_bi" * ]
+ [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" * ]
[ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
[ "item" * ]
}