]
class "cyan"
[ { "computation" * } {
- [ { "context-sensitive extended evaluation" * } {
+ [ { "evaluation for context-sensitive extended reduction" * } {
[ "cpxe ( ⦃?,?⦄ ⊢ ➡*[?,?] 𝐍⦃?⦄ )" * ]
}
]
- [ { "context-sensitive evaluation" * } {
+ [ { "evaluation for context-sensitive reduction" * } {
[ "cpre ( ⦃?,?⦄ ⊢ ➡* 𝐍⦃?⦄ )" "cpre_cpre" * ]
}
]
}
]
[ { "strongly normalizing extended computation" * } {
- [ "lsx ( ? ⊢ ⬊*[?,?,?] ? )" "lsx_cpxs" + "lsx_csx" * ]
+ [ "lcosx ( ? ⊢ ⧤⬊*[?,?,?] ? )" "lcosx_cpxs" * ]
+ [ "lsx ( ? ⊢ ⋕⬊*[?,?,?,?] ? )" "lsx_ldrop" + "lsx_cpxs" + "lsx_csx" * ]
[ "csx_vector ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_tstc_vector" + "csx_aaa" * ]
[ "csx ( ⦃?,?⦄ ⊢ ⬊*[?,?] ? )" "csx_alt ( ⦃?,?⦄ ⊢ ⬊⬊*[?,?] ? )" "csx_lift" + "csx_lpx" + "csx_fpbs" * ]
}
]
[ { "context-sensitive extended computation" * } {
[ "lpxs ( ⦃?,?⦄ ⊢ ➡*[?,?] ? )" "lpxs_alt ( ⦃?,?⦄ ⊢ ➡➡*[?,?] ? )" "lpxs_ldrop" + "lpxs_lleq" + "lpxs_aaa" + "lpxs_cpxs" + "lpxs_lpxs" * ]
- [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_lift" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
+ [ "cpxs ( ⦃?,?⦄ ⊢ ? ➡*[?,?] ? )" "cpxs_tstc" + "cpxs_tstc_vector" + "cpxs_lift" + "cpxs_cpys" + "cpxs_lleq" + "cpxs_aaa" + "cpxs_cpxs" * ]
}
]
[ { "context-sensitive computation" * } {
[ "fpb ( ⦃?,?,?⦄ ≽[?,?] ⦃?,?,?⦄ )" "fpb_lift" + "fpb_aaa" * ]
}
]
- [ { "context-sensitive extended normal forms" * } {
- [ "cnx ( ⦃?,?⦄ ⊢ 𝐍[?,?]⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
+ [ { "normal forms for context-sensitive extended reduction" * } {
+ [ "cnx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐍⦃?⦄ )" "cnx_lift" + "cnx_crx" + "cnx_cix" * ]
}
]
[ { "context-sensitive extended reduction" * } {
- [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_ldrop" + "lpx_lleq" + "lpx_aaa" * ]
- [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lift" + "cpx_lleq" + "cpx_cix" * ]
+ [ "lpx ( ⦃?,?⦄ ⊢ ➡[?,?] ? )" "lpx_ldrop" + "lpx_cpys" + "lpx_lleq" + "lpx_aaa" * ]
+ [ "cpx ( ⦃?,?⦄ ⊢ ? ➡[?,?] ? )" "cpx_lift" + "cpx_cpys" + "cpx_lleq" + "cpx_cix" * ]
}
]
- [ { "context-sensitive extended irreducible forms" * } {
- [ "cix ( ⦃?,?⦄ ⊢ 𝐈[?,?]⦃?⦄ )" "cix_append" + "cix_lift" * ]
+ [ { "irreducible forms for context-sensitive extended reduction" * } {
+ [ "cix ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐈⦃?⦄ )" "cix_lift" * ]
}
]
- [ { "context-sensitive extended reducible forms" * } {
- [ "crx ( ⦃?,?⦄ ⊢ 𝐑[?,?]⦃?⦄ )" "crx_append" + "crx_lift" * ]
+ [ { "reducible forms for context-sensitive extended reduction" * } {
+ [ "crx ( ⦃?,?⦄ ⊢ ➡[?,?] 𝐑⦃?⦄ )" "crx_lift" * ]
}
]
- [ { "context-sensitive normal forms" * } {
- [ "cnr ( ⦃?,?⦄ ⊢ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
+ [ { "normal forms for context-sensitive reduction" * } {
+ [ "cnr ( ⦃?,?⦄ ⊢ ➡ 𝐍⦃?⦄ )" "cnr_lift" + "cnr_crr" + "cnr_cir" * ]
}
]
[ { "context-sensitive reduction" * } {
[ "cpr ( ⦃?,?⦄ ⊢ ? ➡ ? )" "cpr_lift" + "cpr_cir" * ]
}
]
- [ { "context-sensitive irreducible forms" * } {
- [ "cir ( ⦃?,?⦄ ⊢ 𝐈⦃?⦄ )" "cir_append" + "cir_lift" * ]
+ [ { "irreducible forms for context-sensitive reduction" * } {
+ [ "cir ( ⦃?,?⦄ ⊢ ➡ 𝐈⦃?⦄ )" "cir_lift" * ]
}
]
- [ { "context-sensitive reducible forms" * } {
- [ "crr ( ⦃?,?⦄ ⊢ 𝐑⦃?⦄ )" "crr_append" + "crr_lift" * ]
+ [ { "reducible forms for context-sensitive reduction" * } {
+ [ "crr ( ⦃?,?⦄ ⊢ ➡ 𝐑⦃?⦄ )" "crr_lift" * ]
}
]
}
}
]
[ { "contxt-sensitive extended multiple substitution" * } {
- [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*×[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*×[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
+ [ "cpys ( ⦃?,?⦄ ⊢ ? ▶*[?,?] ? )" "cpys_alt ( ⦃?,?⦄ ⊢ ? ▶▶*[?,?] ? )" "cpys_lift" + "cpys_cpys" * ]
}
]
[ { "iterated structural successor for closures" * } {
[ "fqup ( ⦃?,?,?⦄ ⊃+ ⦃?,?,?⦄ )" "fqup_fqup" * ]
}
]
- [ { "generic local env. slicing" * } {
- [ "ldrops ( ⇩*[?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ]
+ [ { "iterated local env. slicing" * } {
+ [ "ldrops ( ⇩*[?,?] ? ≡ ? )" "ldrops_ldrop" + "ldrops_ldrops" * ]
}
]
[ { "generic term relocation" * } {
class "orange"
[ { "relocation" * } {
[ { "contxt-sensitive extended ordinary substitution" * } {
- [ "cpy ( ⦃?,?⦄ ⊢ ? ▶×[?,?] ? )" "cpy_lift" + "cpy_cpy" * ]
+ [ "cpy ( ⦃?,?⦄ ⊢ ? ▶[?,?] ? )" "cpy_lift" + "cpy_cpy" * ]
}
]
- [ { "local env. ref. for extended substitution" * } {
- [ "lsuby ( ? ⊑×[?,?] ? )" "lsuby_lsuby" * ]
- }
- ]
[ { "restricted local env. ref." * } {
[ "lsubr ( ? ⊑ ? )" "lsubr_lsubr" * ]
}
]
+ [ { "local env. ref. for extended substitution" * } {
+ [ "lsuby ( ? ⊑×[?,?] ? )" "lsuby_lsuby" * ]
+ }
+ ]
[ { "structural successor for closures" * } {
[ "fquq ( ⦃?,?,?⦄ ⊃⸮ ⦃?,?,?⦄ )" "fquq_alt ( ⦃?,?,?⦄ ⊃⊃⸮ ⦃?,?,?⦄ )" * ]
[ "fqu ( ⦃?,?,?⦄ ⊃ ⦃?,?,?⦄ )" * ]
}
]
[ { "basic local env. slicing" * } {
- [ "ldrop ( ⇩[?,?] ? ≡ ? )" "ldrop_append" + "ldrop_lpx_sn" + "ldrop_ldrop" * ]
+ [ "ldrop ( ⇩[?,?,?] ? ≡ ? )" "ldrop_lpx_sn" + "ldrop_leq" + "ldrop_ldrop" * ]
}
]
[ { "basic term relocation" * } {
]
class "red"
[ { "grammar" * } {
+ [ { "equivalence for local environments" * } {
+ [ "leq ( ? ≃[?,?] ? )" "leq_leq" * ]
+ }
+ ]
[ { "pointwise extension of a relation" * } {
[ "lpx_sn" "lpx_sn_tc" + "lpx_sn_lpx_sn" * ]
}
}
]
[ { "closures" * } {
- [ "cl_shift ( ? @@ ? )" "cl_weight ( ♯{?,?,?} )" * ]
+ [ "cl_weight ( ♯{?,?,?} )" "cl_restricted_weight ( ♯{?,?} )" * ]
}
]
[ { "internal syntax" * } {