| is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]) ∧ (st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- _type]) .type ≤ ty, st[r1 -- _type] .type ≤ ty, acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields((st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- _type]) .type .class) ∧ is_referencevalue(st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- fs ']) ∧ acc .first = (st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- fs ']) .refval ∧ junkrefs(str, acc, fs .type, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)])), st[r0 -- _type] .type ≤ ty0, is_obj(str, r1, st), ∀ str, ty, st, r0, fs, r. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs .type ≠ void_type ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r0 = jvmref, ty0 = void_type, mkfs(class, ty0, fieldvar) ' = _length, r1 = jvmref, junkref(str, r0, st), acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ acc .first = st[r1 -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st)) |
acc .first = (st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- fs ']) .refval, is_referencevalue(st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- fs ']), junkrefs(str, acc, fs .type, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), st[r0 -- _type] .type ≤ ty0, is_obj(str, r1, st), is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), st[r1 -- _type] .type ≤ ty, fs ' ∈ instfields(st[r1 -- _type] .type .class), ∀ str, ty, st, r0, fs, r. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs .type ≠ void_type ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r0 = jvmref, ty0 = void_type, mkfs(class, ty0, fieldvar) ' = _length, r1 = jvmref, acc = [], junkref(str, r0, st), ∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ acc .first = st[r1 -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≠ void_type → (st[ r -- mkfs (class, ty, fieldvar) ', val] [r0 -- _type ] ) = st[r0 -- _type]])]]