| fs = mkfs(class0, ty0, fieldvar), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, ty, st, r, class, fis. validrefs(str, acc, ty, st) → r ∈ acc ∨ validrefs(str, acc, ty, addobj(r, class, fis, st)), acc = [] ∨ fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ acc .first = st[r0 -- fs '] .refval ∧ validrefs(str, acc, ty0, st) ⊦ r0 = jvmref, r = r0, validrefs(str, r0 ' + acc, ty, addobj(r, class, fis, st)), r ∈ acc |
is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ str, ty, st, r, class, fis. validrefs(str, acc, ty, st) → r ∈ acc ∨ validrefs(str, acc, ty, addobj(r, class, fis, st)), acc = [] ∨ mkfs(class0, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- mkfs(class0, ty0, fieldvar) ']) ∧ acc .first = st[r0 -- mkfs(class0, ty0, fieldvar) '] .refval ∧ validrefs(str, acc, ty0, st) ⊦ r0 = jvmref, r = r0, validrefs(str, r0 ' + acc, ty, addobj(r, class, fis, st)), r ∈ acc
[[CONCRETESIMPRULES : ()]]