(a) Any person who shall knowingly make any false statements or shall falsify or permit to be falsified any records of the retirement system in an attempt to defraud the system shall be guilty of a misdemeanor and, upon conviction thereof, shall be punished by a fine not exceeding $500.00, imprisonment not exceeding 12 months, or both.

(b) If any change or error in the records of the retirement system results in any member or beneficiary receiving from it more or less than he would have been entitled to receive had the records been correct, the board of trustees shall have the power to correct such error and to adjust the payments as far as practicable and in such manner that the actuarial equivalent of the benefit to which such member or beneficiary was correctly entitled shall be paid.