The holder of a certificate revoked pursuant to § 45.2-528 shall be entitled to examination by the Board of Coal Mining Examiners after three months have elapsed from the date of revocation of the certificate if he can prove to the satisfaction of the Board that the cause for revocation of his certificate has ceased to exist. However, no person convicted of violating § 45.2-848 or 45.2-849, subsection A of § 45.2-856, or § 45.2-857 shall be eligible for examination for a period of not less than one year nor more than three years following such conviction, such period to be set by the Board in its discretion at the time of revocation of the certificate.