| is_obj(str, r0, st), st[r0 -- mkfs(class, ty1, fieldvar) '] = refval(r), r0 ∈ st, st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), st ⊆ st0, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), validrefs(str, r ' + refs, ty1, st), r0 -- _type ∈ st, r0 -- mkfs(class, ty1, fieldvar) ' ∈ st, ∀ str0, ty0, st1, st2. validrefs(str0, r ' + refs, ty0, st1) ∧ st1 ⊆ st2 ∧ ¬ junkref(str0, r, st1) → validrefs(str0, r ' + refs, ty0, st2) ⊦ r0 = jvmref, ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ st[r0 -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r0 -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r0 -- fs '] .refval, st)), validrefs(str, r ' + refs, ty1, st0) |
is_obj(str, r0, st), st[r0 -- mkfs(class, ty1, fieldvar) '] = refval(r), r0 ∈ st, st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), st ⊆ st0, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), validrefs(str, r ' + refs, ty1, st), r0 -- _type ∈ st, r0 -- mkfs(class, ty1, fieldvar) ' ∈ st, ∀ str0, ty0, st1, st2. validrefs(str0, r ' + refs, ty0, st1) ∧ st1 ⊆ st2 ∧ ¬ junkref(str0, r, st1) → validrefs(str0, r ' + refs, ty0, st2) ⊦ r0 = jvmref, ∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ st[r0 -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r0 -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r0 -- fs '] .refval, st)), validrefs(str, r ' + refs, ty1, st0)
[[CONCRETESIMPRULES : ()]]