| acc + r ' = r1 ' + refs, st[r0 -- mkfs(class0, ty1, fieldvar0) '] = refval(r1), st[r0 -- _type] .type ≤ ty, r ∈ st, okval(val, ty0), okval(st[r -- mkfs(class, ty0, fieldvar) '], ty0), r -- mkfs(class, ty0, fieldvar) ' ∈ st, is_obj(str, r0, st), junkrefs(str, r1 ' + refs, ty1, st[r -- mkfs(class, ty0, fieldvar) ', val]), mkfs(class0, ty1, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), ∀ r, fs, st, val, str, ty. r -- fs ' ∈ st ∧ okval(st[r -- fs '], fs .type) ∧ okval(val, fs .type) ∧ r ∈ st → (junkrefs(str, acc + r ', ty, st[r -- fs ', val]) ↔ junkrefs(str, acc + r ', ty, st)) ∨ fs ' = _type ∨ fs ' = _length ∨ r ∈ acc ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, r0 = jvmref, r = r0, r ∈ acc, mkfs(class0, ty1, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- mkfs(class0, ty1, fieldvar0) ']) ∧ r1 = st[r0 -- mkfs(class0, ty1, fieldvar0) '] .refval ∧ junkrefs(str, st[r0 -- mkfs(class0, ty1, fieldvar0) '] .refval ' + refs, mkfs(class0, ty1, fieldvar0) .type, st), r ≠ r1 ∧ ¬ r ∈ refs, ¬ r1 ∈ acc ∧ r1 ≠ r |
st[r0 -- mkfs(class0, ty1, fieldvar0) '] = refval(r1), acc + r ' = r1 ' + refs, mkfs(class0, ty1, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class), junkrefs(str, r1 ' + refs, ty1, st[r -- mkfs(class, ty0, fieldvar) ', val]), is_obj(str, r0, st), r -- mkfs(class, ty0, fieldvar) ' ∈ st, okval(st[r -- mkfs(class, ty0, fieldvar) '], ty0), okval(val, ty0), r ∈ st, st[r0 -- _type] .type ≤ ty, ∀ r, fs, st, val, str, ty. r -- fs ' ∈ st ∧ okval(st[r -- fs '], fs .type) ∧ okval(val, fs .type) ∧ r ∈ st → (junkrefs(str, acc + r ', ty, st[r -- fs ', val]) ↔ junkrefs(str, acc + r ', ty, st)) ∨ fs ' = _type ∨ fs ' = _length ∨ r ∈ acc ⊦ r = r0, r0 = jvmref, mkfs(class, ty0, fieldvar) ' = _type, mkfs(class, ty0, fieldvar) ' = _length, r ∈ acc, junkrefs(str, r1 ' + refs, ty1, st), ¬ r1 ∈ acc ∧ r1 ≠ r, r ≠ r1 ∧ ¬ r ∈ refs
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])]]