]
*)
[ { "stratified native validity" * } {
- [ "snv ( ⦃?,?⦄ ⊩ ? :[?] )" "snv_lift" "snv_aaa" * ]
+ [ "snv ( ⦃?,?⦄ ⊩ ? :[?] )" "snv_lift" + "snv_aaa" + "snv_ssta" * ]
}
]
}
]
class "blue"
[ { "equivalence" * } {
+ [ { "focalized equivalence" * } {
+ [ "lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )" "lfpcs_aaa" + "lfpcs_lfprs" + "lfpcs_lfpcs" * ]
+ [ "fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )" "fpcs_aaa" + "fpcs_cpcs" + "fpcs_fprs" + "fpcs_fpcs" * ]
+ }
+ ]
+ [ { "local env. ref. for context-sensitive equivalence" * } {
+ [ "lsubse ( ? ⊢•⊑[?] ? )" "lsubse_ldrop" + "lsubse_ssta" + "lsubse_cpcs" * ]
+ }
+ ]
[ { "context-sensitive equivalence" * } {
- [ "lcpcs ( ? ⊢ ⬌* ? )" "lcpcs_aaa" "lcpcs_lcprs" "lcpcs_lcpcs" * ]
- [ "cpcs ( ? ⊢ ? ⬌* ? )" "cpcs_ltpss" "cpcs_delift" "cpcs_ltpr" "cpcs_cprs" "cpcs_cpcs" * ]
+ [ "cpcs ( ? ⊢ ? ⬌* ? )" "cpcs_ltpss" + "cpcs_delift" + "cpcs_aaa" + "cpcs_ltpr" + "cpcs_cprs" + "cpcs_cpcs" * ]
}
]
}
]
class "sky"
[ { "conversion" * } {
+ [ { "focalized conversion" * } {
+ [ "lfpc ( ⦃?⦄ ⬌ ⦃?⦄ )" "lfpc_lfpc" * ]
+ [ "fpc ( ⦃?,?⦄ ⬌ ⦃?,?⦄ )" "fpc_fpc" * ]
+ }
+ ]
[ { "context-sensitive conversion" * } {
- [ "lcpc ( ? ⊢ ⬌ ? )" "lcpc_lcpc" * ]
[ "cpc ( ? ⊢ ? ⬌ ? )" "cpc_cpc" * ]
}
]
]
class "cyan"
[ { "computation" * } {
+(*
+ [ { "hyper computation" * } {
+ [ "ysteps ( ? ⊢ ⦃?,?⦄ •⭃*[g] ⦃?,?⦄ )" "ysteps_csups" * ]
+ [ "yprs ( ? ⊢ ⦃?,?⦄ •⥸*[g] ⦃?,?⦄ )" "yprs_csups" + "yprs_xprs" + "yprs_yprs" * ]
+ }
+ ]
+*)
[ { "extended computation" * } {
- [ "xprs ( â¦\83?,?â¦\84 â\8a¢ ? â\9e¸*[?] ? )" "xprs_lift" "xprs_aaa" "xprs_cprs" * ]
+ [ "xprs ( â¦\83?,?â¦\84 â\8a¢ ? â\80¢â\9e¡*[?] ? )" "xprs_lift" + "xprs_aaa" + "xpr_lsubss" + "xprs_cprs" + "xprs_xprs" * ]
}
]
[ { "weakly normalizing computation" * } {
}
]
[ { "strongly normalizing computation" * } {
- [ "csn_vector ( ? ⊢ ⬊* ? )" "csn_cpr_vector" "csn_tstc_vector" "csn_aaa" * ]
- [ "csn ( ? ⊢ ⬊* ? )" "csn_alt ( ? ⊢ ⬊⬊* ? )" "csn_lift" "csn_cpr" "csn_lcpr" * ]
+ [ "csn_vector ( ? ⊢ ⬊* ? )" "csn_cpr_vector" + "csn_tstc_vector" + "csn_aaa" * ]
+ [ "csn ( ? ⊢ ⬊* ? )" "csn_alt ( ? ⊢ ⬊⬊* ? )" "csn_lift" + "csn_cpr" + "csn_lfpr" * ]
+ }
+ ]
+ [ { "focalized computation" * } {
+ [ "lfprs ( ⦃?⦄ ➡* ⦃?⦄ )" "lfprs_aaa" + "lfprs_cprs" + "lfprs_lfprs" * ]
+ [ "fprs ( ⦃?,?⦄ ➡* ⦃?,?⦄ )" "fprs_aaa" + "fprs_fprs" * ]
}
]
[ { "context-sensitive computation" * } {
- [ "lcprs ( ? ⊢ ➡* ? )" "lcprs_aaa" "lcprs_cprs" "lcprs_lcprs" * ]
- [ "cprs (? ⊢ ? ➡* ?)" "cprs_lift" "cprs_delift" "cprs_ltpr" "cprs_lcpr" "cprs_cprs" "cprs_lcprs" "cprs_tstc" "cprs_tstc_vector" * ]
+ [ "cprs (? ⊢ ? ➡* ?)" "cprs_lift" + "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" * ]
+ [ "ltprs ( ? ➡* ? )" "ltprs_alt ( ? ➡➡* ? )" "ltprs_ldrop" + "ltprs_ltprs" * ]
+ [ "tprs ( ? ➡* ?)" "tprs_lift" + "tprs_tprs" * ]
}
]
[ { "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" * } {
]
class "water"
[ { "reducibility" * } {
+(*
+ [ { "hyper reduction" * } {
+ [ "ypr ( ? ⊢ ⦃?,?⦄ •⥸[g] ⦃?,?⦄ )" * ]
+ }
+ ]
+*)
[ { "extended reduction" * } {
- [ "xpr ( ⦃?,?⦄ ⊢ ? ➸[?] ? )" "xpr_lift" "xpr_aaa" * ]
+ [ "xpr ( ⦃?,?⦄ ⊢ ? •➡[?] ? )" "xpr_lift" + "xpr_aaa" + "xpr_lsubss" * ]
+ }
+ ]
+ [ { "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" * ]
}
]
[ { "context-sensitive normal forms" * } {
- [ "cnf ( ? ⊢ 𝐍⦃?⦄ )" "cnf_lift" *"cnf_cif" * ]
+ [ "cnf ( ? ⊢ 𝐍⦃?⦄ )" "cnf_lift" + "cnf_cif" * ]
}
]
[ { "context-sensitive reduction" * } {
- [ "lcpr ( ? ⊢ ➡ ? )" "lcpr_aaa" "lcpr_cpr" "lcpr_lcpr" * ]
- [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" "cpr_ltpss" "cpr_delift" "cpr_ltpr" "cpr_cpr" * ]
+ [ "cpr ( ? ⊢ ? ➡ ? )" "cpr_lift" + "cpr_tpss" + "cpr_ltpss" + "cpr_delift" + "cpr_aaa" + "cpr_ltpr" + "cpr_cpr" * ]
}
]
[ { "context-sensitive reducible forms" * } {
}
]
[ { "context-free normal forms" * } {
- [ "thnf ( 𝐇𝐍⦃?⦄ )" * ]
+ [ "thnf ( 𝐇𝐍⦃?⦄ )" * ]
}
]
[ { "context-free reduction" * } {
- [ "ltpr ( ? ➡ ? )" "ltpr_ldrop" "ltpr_tps" "ltpr_ltpss" "ltpr_aaa" "ltpr_ltpr" * ]
- [ "tpr ( ? ➡ ? )" "tpr_lift" "tpr_tpss" "tpr_delift" "tpr_tpr" * ]
+ [ "ltpr ( ? ➡ ? )" "ltpr_ldrop" + "ltpr_tps" + "ltpr_ltpss_dx" + "ltpr_ltpss_sn" + "ltpr_aaa" + "ltpr_ltpr" * ]
+ [ "tpr ( ? ➡ ? )" "tpr_lift" + "tpr_tps" + "tpr_tpss" + "tpr_delift" + "tpr_tpr" * ]
}
]
}
class "grass"
[ { "static typing" * } {
[ { "local env. ref. for stratified static type assignment" * } {
- [ "lsubss ( ? â\81\9dâ\8a\91 ? )" "lsubss_ldrop" "lsubss_ssta" "lsubss_lsubss" * ]
+ [ "lsubss ( ? â\80¢â\8a\91[?] ? )" "lsubss_ldrop" + "lsubss_ssta" + "lsubss_lsubss" * ]
}
]
[ { "stratified static type assignment" * } {
- [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" "ssta_ltpss" "ssta_aaa" "ssta_ssta" * ]
+ [ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_ltpss_dx" + "ssta_ltpss_sn" + "ssta_aaa" + "ssta_ssta" * ]
}
]
[ { "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_dx" + "aaa_ltpss_sn" + "aaa_aaa" * ]
}
]
[ { "parameters" * } {
class "yellow"
[ { "unfold" * } {
[ { "basic local env. thinning" * } {
- [ "thin ( ? ▼*[?,?] ≡ ? )" "thin_ldrop" "thin_delift" * ]
+ [ "thin ( ? ▼*[?,?] ≡ ? )" "thin_ldrop" + "thin_delift" * ]
}
]
[ { "inverse basic term relocation" * } {
- [ "delift ( ? ⊢ ? ▼*[?,?] ≡ ? )" "delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )" "delift_lift" "delift_tpss" "delift_ltpss" "delift_delift" * ]
+ [ "delift ( ? ⊢ ? ▼*[?,?] ≡ ? )" "delift_alt ( ? ⊢ ? ▼▼*[?,?] ≡ ? )" "delift_lift" + "delift_tpss" + "delift_ltpss" + "delift_delift" * ]
}
]
[ { "partial unfold" * } {
- [ "ltpss ( ? ▶*[?,?] ? )" "ltpss_ldrop" "ltpss_tps" "ltpss_tpss" "ltpss_ltpss" * ]
+ [ "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" * ]
}
]
[ { "generic local env. slicing" * } {
- [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" "ldrops_ldrops" * ]
+ [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ]
+ }
+ ]
+ [ { "iterated restricted structural predecessor for closures" * } {
+ [ "frsups ( ⦃?,?⦄ ⧁* ⦃?,?⦄ )" "frsups_frsups" * ]
+ [ "frsupp ( ⦃?,?⦄ ⧁+ ⦃?,?⦄ )" "frsupp_frsupp" * ]
}
]
[ { "generic term relocation" * } {
[ "lifts_vector ( ⇧*[?] ? ≡ ? )" "lifts_lift_vector" * ]
- [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" "lifts_lifts" * ]
+ [ "lifts ( ⇧*[?] ? ≡ ? )" "lifts_lift" + "lifts_lifts" * ]
}
]
[ { "support for generic relocation" * } {
class "orange"
[ { "substitution" * } {
[ { "parallel substitution" * } {
- [ "tps ( ? ⊢ ? ▶[?,?] ? )" "tps_lift" "tps_tps" * ]
+ [ "tps ( ? ⊢ ? ▶[?,?] ? )" "tps_lift" + "tps_tps" * ]
}
]
[ { "global env. slicing" * } {
}
]
[ { "basic local env. slicing" * } {
- [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" "ldrop_lpx" "ldrop_sfr" "ldrop_ldrop" * ]
+ [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx" + "ldrop_sfr" + "ldrop_ldrop" * ]
}
]
[ { "local env. ref. for substitution" * } {
- [ "lsubs ( ? ≼[?,?] ? )" "lsubs_lsubs" "lsubs_sfr ( ≽[?,?] ? )" * ]
+ [ "lsubs ( ? ≼[?,?] ? )" "(lsubs_lsubs)" "lsubs_sfr ( ≽[?,?] ? )" * ]
+ }
+ ]
+ [ { "restricted structural predecessor for closures" * } {
+ [ "frsup ( ⦃?,?⦄ ⧁ ⦃?,?⦄ )" * ]
}
]
[ { "basic term relocation" * } {
class "red"
[ { "grammar" * } {
[ { "same head term form" * } {
- [ "tshf ( ? ≈ ? )" "tshf_tshf" * ]
+ [ "tshf ( ? ≈ ? )" "(tshf_tshf)" * ]
}
]
[ { "same top term constructor" * } {
- [ "tstc ( ? ≃ ? )" "tstc_tstc" "tstc_vector" * ]
+ [ "tstc ( ? ≃ ? )" "tstc_tstc" + "tstc_vector" * ]
}
]
[ { "closures" * } {
]
[ { "internal syntax" * } {
[ "genv" * ]
- [ "lenv" "lenv_weight ( #{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" "lenv_px" * ]
+ [ "lenv" "lenv_weight ( #{?} )" "lenv_length ( |?| )" "lenv_append ( ? @@ ? )" "lenv_px" + "lenv_px_bi" * ]
[ "term" "term_weight ( #{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector" * ]
[ "item" * ]
}
projects / helm.git / blobdiff