Writs for Seeking Specific Relief or To Prevent a Specific Action:

Alternative Writ:

(1827) A common-law writ commanding the person against whom it is issued either to do a specific thing or to show cause why the court should not order
it to be done.”[1]

executione judicii:

[Latin] (16c.) Hist. A writ directed to a judge of an inferior court to issue execution on a judgment in that court, or to return some reasonable cause why the judge has delayed execution.”

Optional Writ:

(18c) At common law, an original writ issued when the plaintiff seeks specific damages, such as payment of a liquidated debt. The writ commands the
defendant either to do a specified thing or to show why the thing has not been done.”

Conventional Writ:

Hist. A writ by which damages were sought to be recovered.  The prime common-law example was the writ covenant.”

Also see Writ of Mandamus

References:

[1]: All definitions from: Black’s Law Dictionary Deluxe Tenth Edition by Henry Campbell Black & Editor in Chief Bryan A. Garner. ISBN: 978-0-314-62130-6

[2]: James L. High, A Treatise on Extraordinary Legal Remedies § 2, at 5-6 (1884).

How the U.S. Judicial System is Designed to Enable The People to Fix the System when used as Designed