Any computerized comparison of two or more automated systems of records or a system of records with non-Federal records for the purpose of establishing or verifying the eligibility of, or continuing compliance by, applicants for, recipients or beneficiaries of, participants in, or providers of services with respect to, cash or in-kind assistance or payments under Federal benefit programs, or (any computerized comparison of) two or more automated Federal personnel or payroll systems of records or (any such system) with non-Federal records.