| st[r -- _type] .type ≤ ty, st ⊆ st1, junkrefs(str, r ' + acc, ty, st1), is_obj(str, r, st), ∀ str, ty, st1, st. junkrefs(str, acc, ty, st1) ∧ st ⊆ st1 → junkrefs(str, acc, ty, st) ⊦ r = jvmref, acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ acc .first = st[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st)) |
⊦ is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty → ( junkrefs(str, r ' + refs, ty, st) ↔ refs ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ refs .first = st[r -- fs '] .refval ∧ junkrefs(str, refs, fs .type, st)))
¬ (is_obj(str, r, st1) ∧ st1[r -- _type] .type ≤ ty), st[r -- _type] .type ≤ ty, st ⊆ st1, junkrefs(str, r ' + acc, ty, st1), is_obj(str, r, st), ∀ str, ty, st1, st. junkrefs(str, acc, ty, st1) ∧ st ⊆ st1 → junkrefs(str, acc, ty, st) ⊦ r = jvmref, acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ acc .first = st[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st))
is_obj(str, r, st1) ∧ st1[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty, st ⊆ st1, acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st1[r -- _type] .type .class) ∧ is_referencevalue(st1[r -- fs ']) ∧ acc .first = st1[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st1)), is_obj(str, r, st), ∀ str, ty, st1, st. junkrefs(str, acc, ty, st1) ∧ st ⊆ st1 → junkrefs(str, acc, ty, st) ⊦ r = jvmref, acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ acc .first = st[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st))
[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, ty, acc, r, str)]]