[ { "higher order dynamic typing" * } {
[ { "higher order native type assignment" * } {
[ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
[ { "higher order dynamic typing" * } {
[ { "higher order native type assignment" * } {
[ "ntas ( ⦃?,?⦄ ⊢ ? :* ? )" "nta_lift" * ]
[ { "equivalence" * } {
[ { "focalized equivalence" * } {
[ "lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )" "lfpcs_aaa" + "lfpcs_fpcs" + "lfpcs_lfprs" + "lfpcs_lfpcs" * ]
[ "fpcs ( ⦃?,?⦄ ⬌* ⦃?,?⦄ )" "fpcs_aaa" + "fpcs_cpcs" + "fpcs_fprs" + "fpcs_fpcs" * ]
}
]
[ { "equivalence" * } {
[ { "focalized equivalence" * } {
[ "lfpcs ( ⦃?⦄ ⬌* ⦃?⦄ )" "lfpcs_aaa" + "lfpcs_fpcs" + "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" * ]
+ [ { "local env. ref. for stratified static type assignment" * } {
+ [ "lsubss ( ? •⊑[?] ? )" "lsubss_ldrop" + "lsubss_ssta" + "lsubss_cpcs" * ]
[ { "computation" * } {
[ { "focalized computation" * } {
[ "lfprs ( ⦃?⦄ ➡* ⦃?⦄ )" "lfprs_aaa" + "lfprs_ltprs" + "lfprs_cprs" + "lfprs_fprs" + "lfprs_lfprs" * ]
[ { "computation" * } {
[ { "focalized computation" * } {
[ "lfprs ( ⦃?⦄ ➡* ⦃?⦄ )" "lfprs_aaa" + "lfprs_ltprs" + "lfprs_cprs" + "lfprs_fprs" + "lfprs_lfprs" * ]
[ { "reducibility" * } {
[ { "context-sensitive focalized reduction" * } {
[ "cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )" "cnfpr_ltpss" + "cfpr_aaa" + "cfpr_cpr" + "cfpr_cfpr" * ]
[ { "reducibility" * } {
[ { "context-sensitive focalized reduction" * } {
[ "cfpr ( ? ⊢ ⦃?,?⦄ ➡ ⦃?,?⦄ )" "cnfpr_ltpss" + "cfpr_aaa" + "cfpr_cpr" + "cfpr_cfpr" * ]
- [ "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" * ]
+ [ "ltpr ( ? ➡ ? )" "ltpr_ldrop" + "ltpr_tps" + "ltpr_tpss" + "ltpr_ltpss_dx" + "ltpr_ltpss_sn" + "ltpr_aaa" + "ltpr_ltpr" * ]
+ [ "tpr ( ? ➡ ? )" "tpr_lift" + "tpr_delift" + "tpr_tpr" * ]
[ { "stratified static type assignment" * } {
[ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_ltpss_dx" + "ssta_ltpss_sn" + "ssta_aaa" + "ssta_ssta" * ]
}
[ { "stratified static type assignment" * } {
[ "ssta ( ⦃?,?⦄ ⊢ ? •[?,?] ? )" "ssta_lift" + "ssta_ltpss_dx" + "ssta_ltpss_sn" + "ssta_aaa" + "ssta_ssta" * ]
}
[ "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_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" * ]
}
]
[ { "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" * ]
}
]
- [ { "generic local env. slicing" * } {
- [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ]
+ [ { "iterated structural successor for closures" * } {
+ [ "fsupp ( ⦃?,?⦄ ⊃+ ⦃?,?⦄ )" "fsupp_fsupp" * ]
- [ { "iterated restricted structural predecessor for closures" * } {
- [ "frsups ( ⦃?,?⦄ ⧁* ⦃?,?⦄ )" "frsups_frsups" * ]
- [ "frsupp ( ⦃?,?⦄ ⧁+ ⦃?,?⦄ )" "frsupp_frsupp" * ]
+ [ { "generic local env. slicing" * } {
+ [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ]
[ { "global env. slicing" * } {
[ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
}
]
[ { "basic local env. slicing" * } {
[ { "global env. slicing" * } {
[ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
}
]
[ { "basic local env. slicing" * } {
- [ "lsubs ( ? ≼[?,?] ? )" "(lsubs_lsubs)" "lsubs_sfr ( ≽[?,?] ? )" * ]
- }
- ]
- [ { "restricted structural predecessor for closures" * } {
- [ "frsup ( ⦃?,?⦄ ⧁ ⦃?,?⦄ )" * ]
+ [ "lsubr ( ? ⊑[?,?] ? )" "(lsubr_lsubr)" "lsubr_lbotr ( ⊒[?,?] ? )" * ]