[ { "dynamic typing" * } {
(*
[ { "local env. ref. for native type assignment" * } {
- [ "lsubn ( ? â\8a¢ ? :â\8a\91 ? )" "lsubn_ldrop" "lsubn_cpcs" "lsubn_nta" * ]
+ [ "lsubn ( ? â\8a¢ ? :â«\83 ? )" "lsubn_ldrop" "lsubn_cpcs" "lsubn_nta" * ]
}
]
[ { "native type assignment" * } {
]
*)
[ { "local env. ref. for stratified native validity" * } {
- [ "lsubsv ( ? â\8a¢ ? ¡â\8a\91[?,?] ? )" "lsubsv_ldrop" + "lsubsv_lsubd" + "lsubsv_lsuba" + "lsubsv_lsstas" + "lsubsv_cpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
+ [ "lsubsv ( ? â\8a¢ ? ¡â«\83[?,?] ? )" "lsubsv_ldrop" + "lsubsv_lsubd" + "lsubsv_lsuba" + "lsubsv_lsstas" + "lsubsv_cpds" + "lsubsv_cpcs" + "lsubsv_snv" * ]
}
]
[ { "stratified native validity" * } {
}
]
[ { "strongly normalizing extended computation" * } {
-(* [ "lcosx ( ? ⊢ ⧤⬊*[?,?,?] ? )" "lcosx_cpxs" * ] *)
- [ "llsx ( ? ⊢ ⋕⬊*[?,?,?,?] ? )" "llsx_alt ( ? ⊢ ⋕⬊⬊*[?,?,?,?] ? )" "llsx_ldrop" + "llsx_llpx" + "llsx_llpxs" + "llsx_csx" * ]
+ [ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ]
+ [ "lsx ( ? ⊢ ⬊*[?,?,?,?] ? )" "lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )" "lsx_ldrop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ]
[ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tstc_vector" + "csx_aaa" * ]
- [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
+ [ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
}
]
[ { "\"big tree\" parallel computation" * } {
[ "fpbg ( ⦃?,?,?⦄ >⋕[?,?] ⦃?,?,?⦄ )" "fpbg_lift" + "fpbg_fleq" + "fpbg_fpbg" * ]
[ "fpbc ( ⦃?,?,?⦄ ≻⋕[?,?] ⦃?,?,?⦄ )" "fpbc_fleq" + "fpbc_fpbs" * ]
[ "fpbu ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpbu_lift" + "fpbu_lleq" "fpbu_fleq" * ]
- [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_fleq" + "fpbs_aaa" + "fpbs_lpr" + "fpbs_fpbs" + "fpbs_ext" * ]
+ [ "fpbs ( ⦃?,?,?⦄ ≥[?,?] ⦃?,?,?⦄ )" "fpbs_alt ( ⦃?,?,?⦄ ≥≥[?,?] ⦃?,?,?⦄ )" "fpbs_lift" + "fpbs_fleq" + "fpbs_aaa" + "fpbs_fpbs" + "fpbs_ext" * ]
}
]
[ { "decomposed extended computation" * } {
}
]
[ { "context-sensitive extended computation" * } {
- [ "llpxs ( ⦃?,?⦄ ⊢ ➡*[?,?,?,?] ? )" "llpxs_lleq" + "llpxs_aaa" + "llpxs_lprs" "llpxs_cpxs" + "llpxs_llpxs" * ]
-(* [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )" "lpxs_ldrop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ] *)
+ [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_ldrop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
[ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_leq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
}
]
[ { "context-sensitive computation" * } {
- [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_alt ( ⦃?,?⦄ ⊢ ➡➡* ? )" "lprs_ldrop" + "lprs_cprs" + "lprs_lprs" * ]
+ [ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_ldrop" + "lprs_cprs" + "lprs_lprs" * ]
[ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
}
]
[ { "local env. ref. for abstract candidates of reducibility" * } {
- [ "lsubc ( ? â\8a¢ ? â\8a\91[?] ? )" "lsubc_ldrop" + "lsubc_ldrops" + "lsubc_lsuba" * ]
+ [ "lsubc ( ? â\8a¢ ? â«\83[?] ? )" "lsubc_ldrop" + "lsubc_ldrops" + "lsubc_lsuba" * ]
}
]
[ { "support for abstract computation properties" * } {
}
]
[ { "context-sensitive extended reduction" * } {
- [ "llpx ( ⦃?,?⦄ ⊢ ➡[?,?,?,?] ? )" "llpx_ldrop" + "llpx_lleq" + "llpx_aaa" + "llpx_lpr" * ]
-(* [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_ldrop" + "lpx_lleq" + "lpx_aaa" * ] *)
+ [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_ldrop" + "lpx_frees" "lpx_lleq" + "lpx_aaa" * ]
[ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_leq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
}
]
class "grass"
[ { "static typing" * } {
[ { "local env. ref. for atomic arity assignment" * } {
- [ "lsuba ( ? â\8a¢ ? â\81\9dâ\8a\91 ? )" "lsuba_ldrop" + "lsuba_aaa" + "lsuba_lsuba" * ]
+ [ "lsuba ( ? â\8a¢ ? â\81\9dâ«\83 ? )" "lsuba_ldrop" + "lsuba_aaa" + "lsuba_lsuba" * ]
}
]
[ { "atomic arity assignment" * } {
- [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_da" + "aaa_ssta" + "aaa_aaa" * ]
+ [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_lleq" + "aaa_da" + "aaa_ssta" + "aaa_aaa" * ]
}
]
[ { "stratified static type assignment" * } {
}
]
[ { "local env. ref. for degree assignment" * } {
- [ "lsubd ( ? â\8a¢ ? â\96ªâ\8a\91 ? )" "lsubd_da" + "lsubd_lsubd" * ]
+ [ "lsubd ( ? â\8a¢ ? â\96ªâ«\83 ? )" "lsubd_da" + "lsubd_lsubd" * ]
}
]
[ { "degree assignment" * } {
}
]
[ { "restricted local env. ref." * } {
- [ "lsubr ( ? â\8a\91 ? )" "lsubr_lsubr" * ]
+ [ "lsubr ( ? â«\83 ? )" "lsubr_lsubr" * ]
}
]
}
]
class "yellow"
- [ { "substitution" * } {
+ [ { "multiple substitution" * } {
[ { "lazy equivalence" * } {
[ "fleq ( ⦃?,?,?⦄ ⋕[?] ⦃?,?,?⦄ )" "fleq_fleq" * ]
- [ "lleq ( ? ⋕[?,?] ? )" "lleq_leq" + "lleq_ldrop" + "lleq_fqus" + "lleq_lleq" * ]
+ [ "lleq ( ? ⋕[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_leq" + "lleq_ldrop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
+ }
+ ]
+ [ { "lazy pointwise extension of a relation" * } {
+ [ "llpx_sn" "llpx_sn_alt" + "llpx_sn_alt_rec" + "llpx_sn_tc" + "llpx_sn_leq" + "llpx_sn_ldrop" + "llpx_sn_lpx_sn" + "llpx_sn_frees" + "llpx_sn_llor" * ]
+ }
+ ]
+ [ { "pointwise union for local environments" * } {
+ [ "llor ( ? ⩖[?,?] ? ≡ ? )" "llor_ldrop" * ]
+ }
+ ]
+ [ { "context-sensitive exclusion from free variables" * } {
+ [ "frees ( ? ⊢ ? ϵ 𝐅*[?]⦃?⦄ )" "frees_leq" + "frees_lift" * ]
+ }
+ ]
+ [ { "contxt-sensitive extended multiple substitution" * } {
+ [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
}
]
[ { "iterated structural successor for closures" * } {
- [ "fqus ( â¦\83?,?,?â¦\84 â\8a\83* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
- [ "fqup ( â¦\83?,?,?â¦\84 â\8a\83+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
+ [ "fqus ( â¦\83?,?,?â¦\84 â\8a\90* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
+ [ "fqup ( â¦\83?,?,?â¦\84 â\8a\90+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
}
]
[ { "iterated local env. slicing" * } {
}
]
class "orange"
- [ { "relocation" * } {
+ [ { "substitution" * } {
[ { "structural successor for closures" * } {
- [ "fquq ( â¦\83?,?,?â¦\84 â\8a\83⸮ â¦\83?,?,?â¦\84 )" "fquq_alt ( â¦\83?,?,?â¦\84 â\8a\83â\8a\83⸮ ⦃?,?,?⦄ )" * ]
- [ "fqu ( â¦\83?,?,?â¦\84 â\8a\83 ⦃?,?,?⦄ )" * ]
+ [ "fquq ( â¦\83?,?,?â¦\84 â\8a\90⸮ â¦\83?,?,?â¦\84 )" "fquq_alt ( â¦\83?,?,?â¦\84 â\8a\90â\8a\90⸮ ⦃?,?,?⦄ )" * ]
+ [ "fqu ( â¦\83?,?,?â¦\84 â\8a\90 ⦃?,?,?⦄ )" * ]
}
]
[ { "global env. slicing" * } {
- [ "gdrop ( ⇩[?] ? ≡ ? )" "gdrop_gdrop" * ]
+ [ "gget ( ⇩[?] ? ≡ ? )" "gget_gget" * ]
}
]
- [ { "lazy pointwise extension of a relation" * } {
- [ "llpx_sn" "llpx_sn_tc" + "llpx_sn_leq" + "llpx_sn_ldrop" + "llpx_sn_lpx_sn" * ]
+ [ { "contxt-sensitive extended ordinary substitution" * } {
+ [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_nlift" + "cpy_cpy" * ]
+ }
+ ]
+ [ { "local env. ref. for extended substitution" * } {
+ [ "lsuby ( ? ⊑×[?,?] ? )" "lsuby_lsuby" * ]
+ }
+ ]
+ [ { "pointwise extension of a relation" * } {
+ [ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_ldrop" + "lpx_sn_lpx_sn" * ]
}
]
[ { "basic local env. slicing" * } {
- [ "ldrop ( ⇩[?,?,?] ? ≡ ? )" "ldrop_lpx_sn" + "ldrop_leq" + "ldrop_ldrop" * ]
+ [ "ldrop ( ⇩[?,?,?] ? ≡ ? )" "ldrop_append" + "ldrop_leq" + "ldrop_ldrop" * ]
}
]
[ { "basic term relocation" * } {
[ "lift_vector ( ⇧[?,?] ? ≡ ? )" "lift_lift_vector" * ]
- [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_lift" * ]
+ [ "lift ( ⇧[?,?] ? ≡ ? )" "lift_neq" + "lift_lift" * ]
}
]
}
[ "leq ( ? ≃[?,?] ? )" "leq_leq" * ]
}
]
- [ { "pointwise extension of a relation" * } {
- [ "lpx_sn" "lpx_sn_tc" + "lpx_sn_lpx_sn" * ]
- }
- ]
[ { "same top term constructor" * } {
[ "tstc ( ? ≃ ? )" "tstc_tstc" + "tstc_vector" * ]
}
projects / helm.git / blobdiff