| is_obj(str, r1, st), junkrefs(str, r3 ' + refs, ty0, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), st[r1 -- _type] .type ≤ ty, is_obj(r1, st), st[r3 -- _type] .type ≤ ty0, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), ∀ str0, ty1, st0, r, r2, fs0. ¬ junkrefs(str0, r3 ' + refs, ty1, st0) ∧ ¬ junkref(str0, r, st0) ∧ is_obj(r2, st0) ∧ st0[r -- _type] .type ≤ fs0 .type ∧ r ≠ jvmref ∧ fs0 ' ∈ instfields(st0[r2 -- _type] .type .class) → ¬ junkrefs(str0, r3 ' + refs, ty1, st0[r2 -- fs0 ', refval(r)]) ⊦ r1 = jvmref, r3 = jvmref, _type = mkfs(class, ty0, fieldvar) ', junkref(str, r3, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- mkfs(class, ty0, fieldvar) ']) ∧ r3 = st[r1 -- mkfs(class, ty0, fieldvar) '] .refval ∧ junkrefs(str, st[r1 -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, mkfs(class, ty0, fieldvar) .type, st) |
is_obj(str, r1, st), junkrefs(str, r3 ' + refs, ty0, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), st[r1 -- _type] .type ≤ ty, is_obj(r1, st), st[r3 -- _type] .type ≤ ty0, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), ∀ str0, ty1, st0, r, r2, fs0. ¬ junkrefs(str0, r3 ' + refs, ty1, st0) ∧ ¬ junkref(str0, r, st0) ∧ is_obj(r2, st0) ∧ st0[r -- _type] .type ≤ fs0 .type ∧ r ≠ jvmref ∧ fs0 ' ∈ instfields(st0[r2 -- _type] .type .class) → ¬ junkrefs(str0, r3 ' + refs, ty1, st0[r2 -- fs0 ', refval(r)]) ⊦ r1 = jvmref, r3 = jvmref, _type = mkfs(class, ty0, fieldvar) ', junkref(str, r3, st), is_referencevalue(st[r1 -- mkfs(class, ty0, fieldvar) ']) ∧ r3 = st[r1 -- mkfs(class, ty0, fieldvar) '] .refval ∧ junkrefs(str, st[r1 -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, ty0, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]