| is_obj(r, st), st[r0 -- _type] .type ≤ ty0, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r1 ' + acc, ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(r0)]), is_valid_ref(str, r1, st), st[r1 -- _type] .type ≤ ty, ∀ str, ty, st, r0, r, fs. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ is_obj(r, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs ' ∈ instfields(st[r -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r = r1, r1 = jvmref, r0 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + acc, ty, st), r ≠ r1 ∧ ¬ r ∈ acc |
is_obj(r, st), st[r0 -- _type] .type ≤ ty0, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r1 ' + acc, ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(r0)]), is_valid_ref(str, r1, st), st[r1 -- _type] .type ≤ ty, r ∈ acc, ∀ str, ty, st, r0, r, fs. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ is_obj(r, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs ' ∈ instfields(st[r -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r = r1, r1 = jvmref, r0 = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + acc, ty, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]