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