| ¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, st) ∨ ¬ st[r0 -- _type] .type ≤ ty)), validrefs(str, r0 ' + acc, ty, st), ∀ str, ty, st, r. validrefs(str, acc, ty, st) → r ∈ acc ∨ validrefs(str, acc, ty, st -- r) ⊦ r = r0, r ∈ acc, validrefs(str, r0 ' + acc, ty, st -- r) |
⊦ validrefs(str, jvmref ' + refs, ty, st) ↔ refs = []
validrefs(str, r0 ' + acc, ty, st), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, ty, st, r. validrefs(str, acc, ty, st) → r ∈ acc ∨ validrefs(str, acc, ty, st -- r) ⊦ r = r0, r0 = jvmref, r ∈ acc, validrefs(str, r0 ' + acc, ty, st -- r)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]