Conn. Gen. Stat. § 54-129: Discharge of paroled prisoner.

(a) If it appears to the appropriate panel of the Board of Pardons and Paroles that any person on parole or inmate eligible for parole or any person serving a period of special parole will lead an orderly life, the panel, by a unanimous vote, may (1) declare such person on parole or inmate discharged from the custody of the Commissioner of Correction, or (2) at any time during such person's period of special parole, terminate such period, without a court order, before such person completes such period.

(b) Whenever any inmate has been discharged from the custody of the Commissioner of Correction or whenever any person's period of special parole has been terminated, the chairperson shall issue a certificate to that effect under the seal of the Board of Pardons and Paroles.