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