Originally formed in Pensacola, Florida in 2006, they have been based out of Atlanta, Georgia since 2013 and currently consist of vocalist, producer, and lyricist Mod Eschar, keyboardist Scott Storey, and guitarist Timothy Miller.

[3] Finite Automata is the product of a project started in 2006 by musician, programmer, and visual artist Mod Eschar (Dominique Price), as an attempt to create a sound similar to 80s electro industrial.

In 2010, a chance conversation with Ben V of the Ludovico Technique resulted in the band being invited to play Beyond Therapy's annual Florida Underground Industrial Music Festival.

Three months after the release of Recurse the band announced c. Grendel's amicable departure as a permanent member of Finite Automata, citing family obligations and his inability to tour as his primary reasons for leaving the group.

It was also announced that Eschar and Syn had already begun work on the followup to Recurse, entitled Dogma Eye as well as the imminent release of a single from the upcoming album.

In November 2016, the group set out on a week long U.S. East Coast tour with Dismantled, with guitarist Timothy Miller of Cursed Earth Corporation as live support.