(1) "Option A beneficiary" means the retirement allowance beneficiary designated by the member under section 506(1)(a).

    (2) "Option B beneficiary" means the retirement allowance beneficiary designated by the member under section 506(1)(b).

    (3) "Other public service" means any of the following services performed within this state by a member:

    (a) Service as a former elected official who received an annual state salary for service performed in that office.

    (b) Service as a municipal judge.

    (c) Service as a justice of the peace in a governmental unit.

    (d) Service as a referee of the traffic division of the recorder's court of the city of Detroit, but not to exceed more than 3 years of service.

    (e) Service as a judge under the former judges retirement system or former probate judges retirement system if the member has not received credit for the service under this act.

    (f) For a state official, state service.