| st[r -- mkfs(class, ty0, fieldvar) '] = refval(r0), r ∈ st, is_obj(str, r, st), st[r -- _type] .type ≤ ty, st ⊆ st0, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r0 ' + refs1, ty0, st0), r -- _type ∈ st, r -- mkfs(class, ty0, fieldvar) ' ∈ st, ∀ st, st1, ty, r1, str, refs0. # refs0 < # (r0 + refs1) → (validrefs(str, r1 ' + refs0, ty, st1) ∧ st ⊆ st1 ∧ validref(str, r1, st[r1 -- _type] .type, st) → validrefs(str, r1 ' + refs0, ty, st)) ⊦ r = jvmref, junkref(str, r, st), validrefs(str, r0 ' + refs1, ty0, st), validref(str, r0, st[r0 -- _type] .type, st) |
⊦ validref(str, r, st[r -- _type] .type, st) ↔ ¬ junkref(str, r, st)
st[r -- mkfs(class, ty0, fieldvar) '] = refval(r0), r ∈ st, is_obj(str, r, st), st[r -- _type] .type ≤ ty, st ⊆ st0, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r0 ' + refs1, ty0, st0), r -- _type ∈ st, r -- mkfs(class, ty0, fieldvar) ' ∈ st, ∀ st, st1, ty, r1, str, refs0. # refs0 < # (r0 + refs1) → (validrefs(str, r1 ' + refs0, ty, st1) ∧ st ⊆ st1 ∧ validref(str, r1, st[r1 -- _type] .type, st) → validrefs(str, r1 ' + refs0, ty, st)) ⊦ r = jvmref, junkref(str, r, st), validrefs(str, r0 ' + refs1, ty0, st), ¬ junkref(str, r0, st)
[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r0, str)]]