]
(*
class "wine"
- [ { "examples" * } {
- [ { "terms with special features" * } {
- [ "ex_sta_ldec" + "ex_cpr_omega" + "ex_fpbg_refl" + "ex_snv_eta" * ]
- }
- ]
- }
- ]
- class "magenta"
[ { "" * } {
[ { "" * } {
[ "" * ]
}
]
*)
- class "prune"
+ class "magenta"
[ { "dynamic typing" * } {
(*
[ { "local env. ref. for native type assignment" * } {
]
}
]
- class "blue"
+ class "prune"
[ { "equivalence" * } {
[ { "decomposed rt-equivalence" * } {
[ "scpes ( ⦃?,?⦄ ⊢ ? •*⬌*[?,?,?,?] ? )" "scpes_aaa" + "scpes_cpcs" + "scpes_scpes" * ]
]
}
]
- class "sky"
+ class "blue"
[ { "conversion" * } {
[ { "context-sensitive conversion" * } {
[ "cpc ( ⦃?,?⦄ ⊢ ? ⬌ ? )" "cpc_cpc" * ]
]
}
]
- class "cyan"
- [ { "computation" * } {
+*)
+ class "sky"
+ [ { "rt-computation" * } {
+(*
[ { "evaluation for context-sensitive rt-reduction" * } {
[ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
}
[ { "strongly normalizing rt-computation" * } {
[ "lcosx ( ? ⊢ ~⬊*[?,?,?] ? )" "lcosx_cpx" * ]
[ "lsx ( ? ⊢ ⬊*[?,?,?,?] ? )" "lsx_alt ( ? ⊢ ⬊⬊*[?,?,?,?] ? )" "lsx_drop" + "lsx_lpx" + "lsx_lpxs" + "llsx_csx" * ]
- [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tsts_vector" + "csx_aaa" * ]
+ [ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_theq_vector" + "csx_aaa" * ]
[ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lleq" + "csx_lpx" + "csx_lpxs" + "csx_fpbs" * ]
}
]
[ "scpds ( ⦃?,?⦄ ⊢ ? •*➡*[?,?,?] ? )" "scpds_lift" + "scpds_aaa" + "scpds_scpds" * ]
}
]
- [ { "context-sensitive rt-computation" * } {
- [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
- [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tsts" + "cpxs_tsts_vector" + "cpxs_lreq" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
- }
- ]
[ { "context-sensitive computation" * } {
[ "lprs ( ⦃?,?⦄ ⊢ ➡* ? )" "lprs_drop" + "lprs_cprs" + "lprs_lprs" * ]
[ "cprs ( ⦃?,?⦄ ⊢ ? ➡* ?)" "cprs_lift" + "cprs_cprs" * ]
}
]
- [ { "local env. ref. for generic reducibility" * } {
- [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drop" + "lsubc_drops" + "lsubc_lsuba" * ]
- }
- ]
- [ { "support for generic computation properties" * } {
- [ "gcp" "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
+*)
+ [ { "uncounted context-sensitive rt-computation" * } {
+(*
+ [ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_drop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
+ [ "cpxs_lreq" + "cpxs_lleq" + "cpxs_aaa" * ]
+*)
+ [ "csx_vector ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" * ]
+ [ "csx ( ⦃?,?⦄ ⊢ ⬈*[?,?] 𝐒⦃?⦄ )" "csx_simple" + "csx_theq" + "csx_drops" + "csx_lsubr" + "csx_gcp" + "csx_lfpx" + "csx_cnx" + "csx_cpxs" + "csx_csx" * ]
+ [ "lfpxs ( ⦃?,?⦄ ⊢ ⬈*[?,?] ? )" "lfpxs_length" + "lfpxs_fqup" + "lfpxs_cpxs" * ]
+ [ "cpxs ( ⦃?,?⦄ ⊢ ? ⬈*[?] ? )" "cpxs_tdeq" + "cpxs_theq" + "cpxs_theq_vector" + "cpxs_drops" + "cpxs_lsubr" + "cpxs_lfpx" + "cpxs_cnx" + "cpxs_cpxs" * ]
}
]
}
]
- class "water"
- [ { "reduction" * } {
- [ { "parallel qrst-reduction" * } {
- [ "fpbq ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpbq_alt ( ⦃?,?,?⦄ ≽≽[?,?] ⦃?,?,?⦄ )" "fpbq_lift" + "fpbq_aaa" * ]
- [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_lleq" + "fpb_fleq" * ]
- }
- ]
- [ { "normal forms for context-sensitive rt-reduction" * } {
- [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
- }
- ]
- [ { "context-sensitive rt-reduction" * } {
- [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_drop" + "lpx_frees" + "lpx_lleq" + "lpx_aaa" * ]
- [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lreq" + "cpx_lift" + "cpx_llpx_sn" + "cpx_lleq" + "cpx_cix" * ]
- }
- ]
- [ { "irreducible forms for context-sensitive rt-reduction" * } {
- [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
- }
- ]
- [ { "reducible forms for context-sensitive rt-reduction" * } {
- [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
- }
- ]
- [ { "normal forms for context-sensitive reduction" * } {
- [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
+ class "cyan"
+ [ { "rt-transition" * } {
+ [ { "parallel rst-transition" * } {
+ [ "fpbq ( ⦃?,?,?⦄ ≽[?] ⦃?,?,?⦄ )" "fpbq_aaa" * ]
+ [ "fpb ( ⦃?,?,?⦄ ≻[?,?] ⦃?,?,?⦄ )" "fpb_lfdeq" * ]
}
]
- [ { "context-sensitive reduction" * } {
- [ "lpr ( ⦃?,?⦄ ⊢ ➡ ? )" "lpr_drop" + "lpr_lpr" * ]
- [ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_llpx_sn" + "cpr_cir" * ]
+ [ { "t-bound context-sensitive rt-transition" * } {
+ [ "lfpr ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lfpr_length" + "lfpr_drops" + "lfpr_fquq" + "lfpr_fqup" + "lfpr_frees" + "lfpr_aaa" + "lfpr_lfpx" + "lfpr_lfpr" * ]
+ [ "cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" * ]
+ [ "cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_lfxs" + "cpm_cpx" * ]
}
]
- [ { "irreducible forms for context-sensitive reduction" * } {
- [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
+ [ { "uncounted context-sensitive rt-transition" * } {
+ [ "cnx ( ⦃?,?⦄ ⊢ ⬈[?,?] 𝐍⦃?⦄ )" "cnx_simple" + "cnx_drops" + "cnx_cnx" * ]
+ [ "lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_drops" + "lfpx_fqup" + "lfpx_frees" + "lfpx_lfdeq" + "lfpx_aaa" + "lfpx_lfpx" * ]
+ [ "cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_fqus" + "cpx_lsubr" + "cpx_lfxs" * ]
}
]
- [ { "reducible forms for context-sensitive reduction" * } {
- [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
+ [ { "counted context-sensitive rt-transition" * } {
+ [ "cpg ( ⦃?,?⦄ ⊢ ? ⬈[?,?] ? )" "cpg_simple" + "cpg_drops" + "cpg_lsubr" * ]
}
]
}
]
- class "green"
- [ { "unfold" * } {
- [ { "unfold" * } {
- [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
- }
- ]
- [ { "iterated static type assignment" * } {
- [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
+ class "water"
+ [ { "iterated static typing" * } {
+ [ { "iterated extension on referred entries" * } {
+ [ "tc_lfxs ( ? ⦻**[?,?] ? )" * ]
}
]
}
]
-*)
class "green"
[ { "static typing" * } {
- [ { "parameters" * } {
- [ "sh" "sd" * ]
- }
- ]
-(*
- [ { "local env. ref. for atomic arity assignment" * } {
- [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_aaa" + "lsuba_lsuba" * ]
+ [ { "generic reducibility" * } {
+ [ "lsubc ( ? ⊢ ? ⫃[?] ? )" "lsubc_drops" + "lsubc_lsubr" + "lsubc_lsuba" * ]
+ [ "gcp_cr ( ⦃?,?,?⦄ ϵ[?] 〚?〛 )" "gcp_aaa" * ]
+ [ "gcp" *]
}
]
[ { "atomic arity assignment" * } {
- [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_lleq" + "aaa_aaa" * ]
+ [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
+ [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfdeq" + "aaa_aaa" * ]
}
]
-*)
- [ { "restricted ref. for local env." * } {
- [ "lsubr ( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
+ [ { "degree-based equivalence on referred entries" * } {
+ [ "ffdeq ( ⦃?,?,?⦄ ≡[?,?] ⦃?,?,?⦄ )" "ffdeq_fqup" + "ffdeq_ffdeq" * ]
+ [ "lfdeq ( ? ≡[?,?,?] ? )" "lfdeq_length" + "lfdeq_drops" + "lfdeq_fqup" + "lfdeq_fqus" + "lfdeq_lfdeq" * ]
}
]
- [ { "ranged equivalence for closures" * } {
- [ "freq ( ⦃?,?,?⦄ ≡ ⦃?,?,?⦄ )" "freq_freq" * ]
+ [ { "generic extension on referred entries" * } {
+ [ "lfxs ( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_drops" + "lfxs_fqup" + "lfxs_lfxs" * ]
}
]
[ { "context-sensitive free variables" * } {
- [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_weight" + "frees_lreq" + "frees_frees" * ]
+ [ "lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )" "lsubf_frees" * ]
+ [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_drops" + "frees_fqup" + "frees_frees" * ]
+ }
+ ]
+ [ { "restricted ref. for local env." * } {
+ [ "lsubr ( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
}
]
}
]
class "grass"
[ { "s-computation" * } {
- [ { "" * } {
- [ * ]
+ [ { "iterated structural successor for closures" * } {
+ [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_weight" + "fqus_drops" + "fqus_fqup" + "fqus_fqus" * ]
+ [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_weight" + "fqup_drops" + "fqup_fqup" * ]
}
]
}
class "orange"
[ { "relocation" * } {
[ { "generic slicing for local environments" * } {
- [ "drops_vector ( ⬇*[?,?] ? ≡ ? )" * ]
- [ "drops ( ⬇*[?,?] ? ≡ ? )" "drops_lstar" + "drops_weight" + "drops_length" + "drops_ceq" + "drops_lexs" + "drops_lreq" + "drops_drops" * ]
+ [ "drops_vector ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" * ]
+ [ "drops ( ⬇*[?,?] ? ≡ ? ) ( ⬇*[?] ? ≡ ? )" "drops_lstar" + "drops_weight" + "drops_length" + "drops_ceq" + "drops_lexs" + "drops_lreq" + "drops_drops" * ]
}
]
[ { "generic relocation for terms" * } {
[ "lifts_vector ( ⬆*[?] ? ≡ ? )" "lifts_lifts_vector" * ]
- [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_lifts" * ]
+ [ "lifts ( ⬆*[?] ? ≡ ? )" "lifts_simple" + "lifts_weight" + "lifts_tdeq" + "lifts_lifts" * ]
}
]
[ { "ranged equivalence for local environments" * } {
[ "lreq ( ? ≡[?] ? )" "lreq_length" + "lreq_lreq" * ]
}
]
- [ { "generic entrywise extension of context-sensitive relations for terma" * } {
+ [ { "generic entrywise extension" * } {
[ "lexs ( ? ⦻*[?,?,?] ? )" "lexs_length" + "lexs_lexs" * ]
}
]
}
]
class "red"
- [ { "grammar" * } {
+ [ { "syntax" * } {
[ { "append for local environments" * } {
[ "append ( ? @@ ? )" "append_length" * ]
}
]
- [ { "context-sensitive equivalences for terms" * } {
- [ "ceq" "ceq_ceq" * ]
+ [ { "head equivalence for terms" * } {
+ [ "theq ( ? ⩳[?,?] ? )" "theq_simple" + "theq_tdeq" + "theq_theq" + "theq_simple_vector" * ]
}
]
- [ { "same top term structure" * } {
- [ "tsts ( ? ≂ ? )" "tsts_tsts" + "tsts_vector" * ]
+ [ { "degree-based equivalence for terms" * } {
+ [ "deq ( ? ≡[?,?] ? ) " "deq_deq" * ]
}
]
[ { "closures" * } {
- [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
+ [ "cl_weight ( ♯{?,?,?} )" * ]
+ [ "cl_restricted_weight ( ♯{?,?} )" * ]
}
]
- [ { "internal syntax" * } {
+ [ { "global environments" * } {
[ "genv" * ]
- [ "lenv" "lenv_weight ( ♯{?} )" "lenv_length ( |?| )" * ]
- [ "term" "term_weight ( ♯{?} )" "term_simple ( 𝐒⦃?⦄ )" "term_vector ( Ⓐ?.? )" * ]
+ }
+ ]
+ [ { "local environments" * } {
+ [ "lenv_length ( |?| )" * ]
+ [ "lenv_weight ( ♯{?} )" * ]
+ [ "lenv" * ]
+ }
+ ]
+ [ { "terms" * } {
+ [ "term_vector ( Ⓐ?.? )" * ]
+ [ "term_simple ( 𝐒⦃?⦄ )" * ]
+ [ "term_weight ( ♯{?} )" * ]
+ [ "term" * ]
+ }
+ ]
+ [ { "items" * } {
+ [ "item_sd" * ]
+ [ "item_sh" * ]
[ "item" * ]
}
]
- [ { "external syntax" * } {
+ [ { "atomic arities" * } {
[ "aarity" * ]
}
]
class "italic" { 1 }
(*
+ [ { "normal forms for context-sensitive rt-reduction" * } {
+ [ "cnx_crx" + "cnx_cix" * ]
+ }
+ ]
+ [ { "irreducible forms for context-sensitive rt-reduction" * } {
+ [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
+ }
+ ]
+ [ { "reducible forms for context-sensitive rt-reduction" * } {
+ [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
+ }
+ ]
+ [ { "normal forms for context-sensitive reduction" * } {
+ [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
+ }
+ ]
+ [ { "irreducible forms for context-sensitive reduction" * } {
+ [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
+ }
+ ]
+ [ { "reducible forms for context-sensitive reduction" * } {
+ [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
+ }
+ ]
+ [ { "unfold" * } {
+ [ "unfold ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
+ }
+ ]
+ [ { "iterated static type assignment" * } {
+ [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
+ }
+ ]
[ { "local env. ref. for degree assignment" * } {
[ "lsubd ( ? ⊢ ? ⫃▪[?,?] ? )" "lsubd_da" + "lsubd_lsubd" * ]
}
[ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
}
]
- [ { "iterated structural successor for closures" * } {
- [ "fqus ( ⦃?,?,?⦄ ⊐* ⦃?,?,?⦄ )" "fqus_alt" + "fqus_fqus" * ]
- [ "fqup ( ⦃?,?,?⦄ ⊐+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
- }
- ]
[ { "pointwise union for local environments" * } {
[ "llor ( ? ⋓[?,?] ? ≡ ? )" "llor_alt" + "llor_drop" * ]
}
[ "lpx_sn" "lpx_sn_alt" + "lpx_sn_tc" + "lpx_sn_drop" + "lpx_sn_lpx_sn" * ]
}
]
+ [ "cpx_lreq" + "cpr_cir" + "fpb_lift" + "fpbq_lift" ]
[ "lleq ( ? ≡[?,?] ? )" "lleq_alt" + "lleq_alt_rec" + "lleq_lreq" + "lleq_drop" + "lleq_fqus" + "lleq_llor" + "lleq_lleq" * ]
*)
projects / helm.git / blobdiff