]
}
]
+*)
class "water"
- [ { "reduction" * } {
+ [ { "rt-transition" * } {
+(*
[ { "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" * ]
+ [ "lpx_lleq" * ]
+ [ "cpx_lreq" + "cpx_fqus" + "cpx_llpx_sn" + "cpx_lleq" * ]
}
]
- [ { "normal forms for context-sensitive reduction" * } {
- [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
- }
- ]
- [ { "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_fqup" + "lfpr_frees" + "lfpr_aaa" + "lfpr_lfpx" + "lfpr_lfpr" * ]
+ [ "cpr ( ⦃?,?⦄ ⊢ ? ➡[?] ? )" "cpr_drops" (* + "cpr_llpx_sn" + "cpr_cir" *) * ]
+ [ "cpm ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpm_simple" + "cpm_drops" + "cpm_lsubr" + "cpm_cpx" * ]
}
]
- [ { "irreducible forms for context-sensitive reduction" * } {
- [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
+ [ { "uncounted context-sensitive rt-transition" * } {
+ [ "lfpx ( ⦃?,?⦄ ⊢ ⬈[?,?] ? )" "lfpx_length" + "lfpx_drops" + "lfpx_fqup" + "lfpx_frees" + "lfpx_aaa" * ]
+ [ "cpx ( ⦃?,?⦄ ⊢ ? ⬈[?] ? )" "cpx_simple" + "cpx_drops" + "cpx_lsubr" * ]
}
]
- [ { "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 ( ⦃?,?⦄ ⊢ ? ⧫* ? )" * ]
+ [ { "static typing" * } {
+ [ { "restricted ref. for atomic arity assignment" * } {
+ [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_drops" + "lsuba_lsubr" + "lsuba_aaa" + "lsuba_lsuba" * ]
}
]
- [ { "iterated static type assignment" * } {
- [ "lstas ( ⦃?,?⦄ ⊢ ? •*[?,?] ? )" "lstas_lift" + "lstas_llpx_sn.ma" + "lstas_aaa" + "lstas_da" + "lstas_lstas" * ]
+ [ { "atomic arity assignment" * } {
+ [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_drops" + "aaa_fqus" + "aaa_lfdeq" + "aaa_aaa" * ]
}
]
- }
- ]
-*)
- class "green"
- [ { "static typing" * } {
- [ { "parameters" * } {
- [ "sh" "sd" * ]
+ [ { "degree-based equivalence for closures on referred entries" * } {
+ [ "ffdeq ( ⦃?,?,?⦄ ≡[?,?] ⦃?,?,?⦄ )" "ffdeq_fqup" + "ffdeq_ffdeq" * ]
}
]
-(*
- [ { "local env. ref. for atomic arity assignment" * } {
- [ "lsuba ( ? ⊢ ? ⫃⁝ ? )" "lsuba_aaa" + "lsuba_lsuba" * ]
+ [ { "degree-based equivalence for local environments on referred entries" * } {
+ [ "lfdeq ( ? ≡[?,?,?] ? )" "lfdeq_length" + "lfdeq_fqup" + "lfdeq_lfdeq" * ]
}
]
- [ { "atomic arity assignment" * } {
- [ "aaa ( ⦃?,?⦄ ⊢ ? ⁝ ? )" "aaa_lift" + "aaa_lifts" + "aaa_fqus" + "aaa_lleq" + "aaa_aaa" * ]
+ [ { "generic extension on referred entries" * } {
+ [ "lfxs ( ? ⦻*[?,?] ? )" "lfxs_length" + "lfxs_drops" + "lfxs_fqup" + "lfxs_lfxs" * ]
}
]
-*)
- [ { "restricted ref. for local env." * } {
- [ "lsubr ( ? ⫃ ? )" "lsubr_length" + "lsubr_drops" + "lsubr_lsubr" * ]
+ [ { "restricted ref. for context-sensitive free variables" * } {
+ [ "lsubf ( ⦃?,?⦄ ⫃𝐅* ⦃?,?⦄ )" "lsubf_frees" * ]
}
- ]
- [ { "ranged equivalence for closures" * } {
- [ "freq ( ⦃?,?,?⦄ ≡ ⦃?,?,?⦄ )" "freq_freq" * ]
+ ]
+ [ { "context-sensitive free variables" * } {
+ [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_weight" + "frees_drops" + "frees_fqup" + "frees_frees" * ]
}
]
- [ { "context-sensitive free variables" * } {
- [ "frees ( ? ⊢ 𝐅*⦃?⦄ ≡ ? )" "frees_weight" + "frees_lreq" + "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" * } {
[ "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" * ]
+ [ { "degree-based equivalence for terms" * } {
+ [ "deq ( ? ≡[?,?] ? ) " "deq_deq" * ]
}
]
[ { "same top term structure" * } {
}
]
[ { "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 ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "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" * ]
}
projects / helm.git / blobdiff