| ¬ ( validvals(str, rkvs0, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', refval(r)]) ∧ validref(str, r, ty, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', refval(r)])), validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st), is_reftype(ty), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, is_referencevalue(st[jvmref -- mkfs(class, ty, fieldvar) ']), type∃(str, ty), jvmref ∈ st, validvals(str, rkvs1, st), validvals(str, rkvs0, st), validref(str, r, ty, st) ⊦ ty = void_type, mkfs(class, ty, fieldvar) ' = _length, jvmref -- mkfs(class, ty, fieldvar) ' ∈ rkvs0, validref(str, r, ty, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', refval(r)][rkvs0]) |
⊦ validref(str, r, ty1, st[jvmref -- sk, val]) ↔ validref(str, r, ty1, st)
validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st), is_reftype(ty), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str, class), initdone(class, st), jvmref -- mkfs(class, ty, fieldvar) ' ∈ st, is_referencevalue(st[jvmref -- mkfs(class, ty, fieldvar) ']), type∃(str, ty), jvmref ∈ st, validvals(str, rkvs1, st), validvals(str, rkvs0, st), validref(str, r, ty, st) ⊦ ty = void_type, mkfs(class, ty, fieldvar) ' = _length, jvmref -- mkfs(class, ty, fieldvar) ' ∈ rkvs0, validref(str, r, ty, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', refval(r)][rkvs0]), validvals(str, rkvs0, st[rkvs1][jvmref -- mkfs(class, ty, fieldvar) ', refval(r)]) ∧ validref(str, r, ty, st[rkvs1])
[[CONCRETESIMPRULES : ()]]