Special Writs, Orders to Show Cause, and Habeas Corpus. The motion used to file is called a Writ of Habeas Corpus, and it is most frequently used to ensure that a person's commitment or arrest falls within the laws.(1) You must first file a Notice Requesting Post-Conviction Relief before you file this petition. Petition For Writ Of Habeas Corpus By A Person In State Custody Pursunat To 28 USC (Non Death Penalty) Form. The term "habeas corpus" is generally used in criminal proceedings to test the legality of a prisoner's detention. One of those procedures is called post-conviction relief, and it is the process that reviews the capital case trial and appellate proceedings. Article 26 - HABEAS CORPUS Section 13-4121 - Prosecution of writ Section 13-4122 - Application for writ Section 13-4123 - Granting of writ; remand of prisoner. Petition For Writ Of Habeas Corpus By A Person In State Custody Pursunat To 28 USC (Non Death Penalty) Form. United States Constitution, Article 1, § 9. Application for a writ of habeas corpus was made to the Superior Court of Maricopa County on March 24, 1964.