| ¬ ( r ≠ jvmref ∧ ¬ validref (str, (addobj(r, class, fis, st)[r -- mkfs(class0, ty0, fieldvar) ']) .refval, mkfs(class0, ty0, fieldvar) .type, addobj(r, class, fis, st)) ∧ mkfs(class0, ty0, fieldvar) ' ∈ instfields(class) ∧ is_reftype(mkfs(class0, ty0, fieldvar) .type)), fis .keys = instfields(class), unique_al(fis), is_obj(str, r, addobj(r, class, fis, st)), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), class+∃(str, class), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis, mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), validrefs(str, r0 ' + refs0, ty, st), validref(str, r0, ty0, addobj(r, class, fis, st)), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty ⊦ r0 = r, r = jvmref, r0 = jvmref, validrefs(str, r0 ' + refs0, ty0, st), is_abstract(class), validrefs(str, r0 ' + refs0, ty0, addobj(r, class, fis, st)) |
fis .keys = instfields(class), unique_al(fis), is_obj(str, r, addobj(r, class, fis, st)), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), class+∃(str, class), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis, mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), validrefs(str, r0 ' + refs0, ty, st), validref(str, r0, ty0, addobj(r, class, fis, st)), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty ⊦ r0 = r, r = jvmref, r0 = jvmref, validrefs(str, r0 ' + refs0, ty0, st), is_abstract(class), validrefs(str, r0 ' + refs0, ty0, addobj(r, class, fis, st)), ¬ validref(str, (addobj(r, class, fis, st)[r -- mkfs(class0, ty0, fieldvar) ']) .refval, ty0, addobj(r, class, fis, st)) ∧ is_reftype(ty0)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]