| acc = r0 + refs, r0 = (st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- fs ']) .refval, is_referencevalue(st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- fs ']), junkrefs(str, acc, fs .type, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), okval(val, ty0), is_obj(str, r, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), st[r -- _type] .type ≤ ty, is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class), ∀ val, ty0, str, ty, st, r1, class, fieldvar. okval(val, ty0) ∧ junkrefs(str, acc, ty, st[r1 -- mkfs(class, ty0, fieldvar) ', val]) → ty0 = void_type ∨ mkfs(class, ty0, fieldvar) ' = _length ∨ is_referencevalue(val) ∨ junkrefs(str, acc, ty, st) ⊦ r = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, acc = [], junkrefs(str, r ' + acc, ty, st), is_referencevalue(val) |
okval(val, ty0), is_obj(str, r, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), st[r -- _type] .type ≤ ty, is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- fs ']), junkrefs(str, (st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- fs ']) .refval ' + refs, fs .type, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), ∀ val0, ty1, str0, ty2, st0, r0, class0, fieldvar0. okval(val0, ty1) ∧ junkrefs(str0, (st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- fs ']) .refval ' + refs, ty2, st0[r0 -- mkfs(class0, ty1, fieldvar0) ', val0]) → ty1 = void_type ∨ mkfs(class0, ty1, fieldvar0) ' = _length ∨ is_referencevalue(val0) ∨ junkrefs(str0, (st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- fs ']) .refval ' + refs, ty2, st0) ⊦ r = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, is_referencevalue(val), junkrefs(str, r ' + (st[r1 -- mkfs(class, ty0, fieldvar) ', val][r -- fs ']) .refval ' + refs, ty, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]