]
class "blue"
[ { "dynamic typing" * } {
+ [ { "local env. ref. for native type assignment" * } {
+ [ "lsubn ( ? ⊢ ? :⊑ ? )" "lsubn_ldrop" "lsubn_cpcs" "lsubn_nta" * ]
+ }
+ ]
[ { "native type assignment" * } {
- [ "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_lift" * ]
+ [ "nta ( ⦃?,?⦄ ⊢ ? : ? )" "nta_alt ( ⦃?,?⦄ ⊢ ? :: ? )" "nta_lift" "nta_ltpss" "nta_thin" "nta_sta" "nta_ltpr" "nta_nta" * ]
}
]
}
[ { "equivalence" * } {
[ { "context-sensitive equivalence" * } {
[ "lcpcs ( ? ⊢ ⬌* ? )" "lcpcs_aaa" "lcpcs_lcprs" "lcpcs_lcpcs" * ]
- [ "cpcs ( ? ⊢ ? ⬌* ? )" "cpcs_cprs" "cpcs_cpcs" * ]
+ [ "cpcs ( ? ⊢ ? ⬌* ? )" "cpcs_ltpss" "cpcs_delift" "cpcs_ltpr" "cpcs_cprs" "cpcs_cpcs" * ]
}
]
}
class "water"
[ { "computation" * } {
[ { "weakly normalizing computation" * } {
- [ "cpe ( ? ⊢ ? ⊢ ➡* 𝐍[?] )" "cpe_cpe" * ]
+ [ "cpe ( ? ⊢ ➡* 𝐍⦃?⦄ )" "cpe_cpe" * ]
}
]
[ { "strongly normalizing computation" * } {
- [ "csn_vector ( ⬇* ? )" "csn_cpr_vector" "csn_tstc_vector" "csn_aaa" * ]
- [ "csn ( ⬇* ? )" "csn_lift" "csn_cpr" "csn_cprs ( ⬇** ? )" "csn_lcpr" * ]
+ [ "csn_vector ( ? ⊢ ⬇* ? )" "csn_cpr_vector" "csn_tstc_vector" "csn_aaa" * ]
+ [ "csn ( ? ⊢ ⬇* ? )" "csn_alt ( ? ⊢ ⬇⬇* ? )" "csn_lift" "csn_cpr" "csn_lcpr" * ]
}
]
[ { "context-sensitive computation" * } {
[ "lcprs ( ? ⊢ ➡* ? )" "lcprs_aaa" "lcprs_cprs" "lcprs_lcprs" * ]
- [ "cprs (? ⊢ ? ➡* ?)" "cprs_lift" "cprs_ltpr" "cprs_lcpr" "cprs_cprs" "cprs_lcprs" "cprs_tstc" "cprs_tstc_vector" * ]
+ [ "cprs (? ⊢ ? ➡* ?)" "cprs_lift" "cprs_delift" "cprs_ltpr" "cprs_lcpr" "cprs_cprs" "cprs_lcprs" "cprs_tstc" "cprs_tstc_vector" * ]
}
]
[ { "local env. ref. for abstract candidates of reducibility" * } {
- [ "lsubc ( ? [?] ⊑ ? )" "lsubc_ldrop" "lsubc_ldrops" "lsubc_lsuba" * ]
+ [ "lsubc ( ? ⊑[?] ? )" "lsubc_ldrop" "lsubc_ldrops" "lsubc_lsuba" * ]
}
]
[ { "support for abstract computation properties" * } {
- [ "acp" "acp_cr ( ⦃?,?⦄ ϵ 〚?〛 )" "acp_aaa" * ]
+ [ "acp" "acp_cr ( ⦃?,?⦄ ϵ[?] 〚?〛 )" "acp_aaa" * ]
}
]
}
class "green"
[ { "reducibility" * } {
[ { "context-sensitive normal forms" * } {
- [ "cnf ( ? ⊢ 𝐍[?] )" "cnf_lift" * ]
+ [ "cnf ( ? ⊢ 𝐍⦃?⦄ )" "cnf_lift" * ]
}
]
[ { "context-sensitive reduction" * } {
[ "lcpr ( ? ⊢ ➡ ? )" "lcpr_aaa" "lcpr_cpr" "lcpr_lcpr" * ]
- [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" "cpr_ltpss" "cpr_ltpr" "cpr_cpr" * ]
+ [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" "cpr_ltpss" "cpr_delift" "cpr_ltpr" "cpr_cpr" * ]
}
]
[ { "context-free normal forms" * } {
- [ "twhnf ( 𝐖𝐇𝐍[?] )" "tnf ( 𝐍[?] )" "tnf_tif" * ]
+ [ "twhnf ( 𝐖𝐇𝐍⦃?⦄ )" "tnf ( 𝐍⦃?⦄ )" "tnf_tif" * ]
}
]
[ { "context-free reduction" * } {
[ "ltpr ( ? ➡ ? )" "ltpr_ldrop" "ltpr_tps" "ltpr_ltpss" "ltpr_aaa" "ltpr_ltpr" * ]
- [ "tpr ( ? ➡ ? )" "tpr_lift" "tpr_tpss" "tpr_tpr" * ]
+ [ "tpr ( ? ➡ ? )" "tpr_lift" "tpr_tpss" "tpr_delift" "tpr_tpr" * ]
}
]
[ { "context-free reducible forms" * } {
- [ "trf ( 𝐑[?] )" "tif ( 𝐈[?] )" * ]
+ [ "trf ( 𝐑⦃?⦄ )" "tif ( 𝐈⦃?⦄ )" * ]
}
]
}
}
]
[ { "local env. ref. for atomic arity assignment" * } {
- [ "lsuba ( ? ÷⊑ ? )" "lsuba_ldrop" "lsuba_aaa" "lsuba_lsuba" * ]
+ [ "lsuba ( ? ⁝⊑ ? )" "lsuba_ldrop" "lsuba_aaa" "lsuba_lsuba" * ]
}
]
[ { "atomic arity assignment" * } {
- [ "aaa ( ? ⊢ ? ÷ ? )" "aaa_lift" "aaa_lifts" "aaa_ltpss" "aaa_aaa" * ]
+ [ "aaa ( ? ⊢ ? ⁝ ? )" "aaa_lift" "aaa_lifts" "aaa_ltpss" "aaa_aaa" * ]
}
]
[ { "parameters" * } {
]
class "yellow"
[ { "unfold" * } {
- [ { "term inverse relocation" * } {
- [ "delift ( ? ⊢ ? [?,?] ≡ ? )" "delift_lift" * ]
+ [ { "basic local env. thinning" * } {
+ [ "thin ( ? ▼*[?,?] ≡ ? )" "thin_ldrop" "thin_delift" * ]
+ }
+ ]
+ [ { "inverse basic term relocation" * } {
+ [ "delift ( ? ⊢ ? ▼*[?,?] ≡ ? )" "delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )" "delift_lift" "delift_tpss" "delift_ltpss" "delift_delift" * ]
}
]
[ { "partial unfold" * } {
- [ "ltpss ( ? [?,?] ▶* ? )" "ltpss_ldrop" "ltpss_tps" "ltpss_tpss" "ltpss_ltpss" * ]
- [ "tpss ( ? ⊢ ? [?,?] ▶* ? )" "tpss_lift" "tpss_tpss" "tpss_alt ( ? ⊢ ? [?,?] ▶▶* ? )" * ]
+ [ "ltpss ( ? ▶*[?,?] ? )" "ltpss_ldrop" "ltpss_tps" "ltpss_tpss" "ltpss_ltpss" * ]
+ [ "tpss ( ? ⊢ ? ▶*[?,?] ? )" "tpss_alt ( ? ⊢ ? ▶▶*[?,?] ? )" "tpss_lift" "tpss_tpss" * ]
}
]
[ { "generic local env. slicing" * } {
}
]
[ { "support for generic relocation" * } {
- [ "gr2 ( @ [ ? ] ? ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ]
+ [ "gr2 ( @ [?] ? ≡ ? )" "gr2_plus ( ? + ? )" "gr2_minus ( ? ▭ ? ≡ ? )" "gr2_gr2" * ]
}
]
}
class "orange"
[ { "substitution" * } {
[ { "parallel substitution" * } {
- [ "tps ( ? ⊢ ? [?,?] ▶ ? )" "tps_lift" "tps_tps" * ]
+ [ "tps ( ? ⊢ ? ▶[?,?] ? )" "tps_lift" "tps_tps" * ]
}
]
[ { "global env. slicing" * } {
}
]
[ { "basic local env. slicing" * } {
- [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_ldrop" * ]
+ [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_ldrop" "ldrop_sfr" * ]
+ }
+ ]
+ [ { "local env. ref. for substitution" * } {
+ [ "lsubs ( ? ≼[?,?] ? )" "lsubs_lsubs" "lsubs_sfr ( ≽[?,?] ? )" * ]
}
]
[ { "basic term relocation" * } {
]
class "red"
[ { "grammar" * } {
- [ { "local env. ref. for substitution" * } {
- [ "lsubs ( ? [?,?] ≼ ? )" "lsubs_lsubs" * ]
- }
- ]
[ { "same head term form" * } {
[ "tshf ( ? ≈ ? )" "tshf_tshf" * ]
}
}
]
[ { "closures" * } {
- [ "cl_shift ( ? @ ? )" "cl_weight ( #[?,?] )" * ]
+ [ "cl_shift ( ? @@ ? )" "cl_weight ( #[?,?] )" * ]
}
]
[ { "internal syntax" * } {
[ "genv" * ]
[ "lenv" "lenv_weight ( #[?] )" "lenv_length ( |?| )" * ]
- [ "term" "term_weight ( #[?] )" "term_simple ( 𝐒[?] )" "term_vector" * ]
+ [ "term" "term_weight ( #[?] )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
[ "item" * ]
}
]