| is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty, is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, ty, st, sk, val. validrefs(str, acc, ty, st[jvmref -- sk, val]) ↔ validrefs(str, acc, ty, st) ⊦ r = jvmref, validrefs(str, r ' + acc, ty, st[jvmref -- sk, val]) ↔ acc = [] ∨ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ acc .first = st[r -- fs '] .refval ∧ validrefs(str, acc, fs .type, st)) |
st[r -- _type] .type ≤ ty, is_obj(str, r, st), ∀ str, ty, st, sk, val. validrefs(str, acc, ty, st[jvmref -- sk, val]) ↔ validrefs(str, acc, ty, st) ⊦ validrefs(str, r ' + acc, ty, st[jvmref -- sk, val]) ↔ acc = [] ∨ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ acc .first = st[r -- fs '] .refval ∧ validrefs(str, acc, fs .type, st)), r = jvmref
[[CONCRETESIMPRULES : ()]]