| acc + r0 ' = r4 ' + refs, st[r1 -- mkfs(class0, ty2, fieldvar0) '] = refval(r4), st[r1 -- _type] .type ≤ ty, okval(val, ty1), r -- mkfs(class, ty1, fieldvar) ' ∈ st, okval(st[r -- mkfs(class, ty1, fieldvar) '], ty1), r ∈ st, is_obj(str, r1, st), validrefs(str, r4 ' + refs, ty2, st[r -- mkfs(class, ty1, fieldvar) ', val]), mkfs(class0, ty2, fieldvar0) ' ∈ instfields(st[r1 -- _type] .type .class), ∀ r2, fs0, val0, st0, str0, r3, ty0. ¬ r2 ∈ acc ∧ fs0 ' ≠ _type ∧ fs0 ' ≠ _length ∧ okval(val0, fs0 .type) ∧ r2 -- fs0 ' ∈ st0 ∧ okval(st0[r2 -- fs0 '], fs0 .type) → (validrefs(str0, acc + r3 ', ty0, st0[r2 -- fs0 ', val0]) ↔ validrefs(str0, acc + r3 ', ty0, st0)) ⊦ r = r1, r1 = jvmref, mkfs(class, ty1, fieldvar) ' = _length, mkfs(class, ty1, fieldvar) ' = _type, r ∈ acc, ∃ fs0. fs0 ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs0 ']) ∧ r4 = st[r1 -- fs0 '] .refval ∧ validrefs(str, st[r1 -- fs0 '] .refval ' + refs, fs0 .type, st), r0 ≠ r4 ∧ ¬ r0 ∈ refs, ¬ r4 ∈ acc ∧ r4 ≠ r0 |
acc + r0 ' = r4 ' + refs, st[r1 -- mkfs(class0, ty2, fieldvar0) '] = refval(r4), st[r1 -- _type] .type ≤ ty, okval(val, ty1), r -- mkfs(class, ty1, fieldvar) ' ∈ st, okval(st[r -- mkfs(class, ty1, fieldvar) '], ty1), r ∈ st, is_obj(str, r1, st), validrefs(str, r4 ' + refs, ty2, st[r -- mkfs(class, ty1, fieldvar) ', val]), mkfs(class0, ty2, fieldvar0) ' ∈ instfields(st[r1 -- _type] .type .class), ∀ r2, fs0, val0, st0, str0, r3, ty0. ¬ r2 ∈ acc ∧ fs0 ' ≠ _type ∧ fs0 ' ≠ _length ∧ okval(val0, fs0 .type) ∧ r2 -- fs0 ' ∈ st0 ∧ okval(st0[r2 -- fs0 '], fs0 .type) → (validrefs(str0, acc + r3 ', ty0, st0[r2 -- fs0 ', val0]) ↔ validrefs(str0, acc + r3 ', ty0, st0)) ⊦ r = r1, r1 = jvmref, mkfs(class, ty1, fieldvar) ' = _length, mkfs(class, ty1, fieldvar) ' = _type, r ∈ acc, mkfs(class0, ty2, fieldvar0) ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- mkfs(class0, ty2, fieldvar0) ']) ∧ r4 = st[r1 -- mkfs(class0, ty2, fieldvar0) '] .refval ∧ validrefs(str, st[r1 -- mkfs(class0, ty2, fieldvar0) '] .refval ' + refs, mkfs(class0, ty2, fieldvar0) .type, st), r0 ≠ r4 ∧ ¬ r0 ∈ refs, ¬ r4 ∈ acc ∧ r4 ≠ r0
[[CONCRETESIMPRULES : ()], [EXTRATERMS : (mkfs(class0, ty2, fieldvar0))]]