Another aspect of summary termination to consider: in a disciplinary action typically an aggrieved party has a statutory** or Taylor Law contract right to appeal an adverse determination by the appointing authority or an arbitrator or arbitration panel.
A temporary or provisional employee or probationary employee*** who has completed his or her minimum period of probation does not have a statutory right to appeal his or her termination except where he or she alleges the dismissal was in violation of his or her constitutional rights or was unlawfully discriminatory.
** See, for example, §76 of the Civil Service Law and §3202-a.5 of the Education Law. Appeals under §76 may be appealed to the responsible civil service commission [within 30-days of the decision] or as provided by Article 78 of the CPLR while §3202-a.5 appeals are to filed pursuant to Article 75 of the CPLR but must be filed within 10 days of the determination of the arbitrator or the arbitration panel.
*** In some instances a probationary employee may have a contractual right to challenge his or her termination as set out in a Taylor Law agreement.