In the world of "Luck & Logic," an immaterial energy known as "Logic" governs emotions, abilities, ideals, and memories across multiple dimensions. Alien entities referred to as "Foreigners" harness this power to travel between realms through gates infused with their Logic, jeopardizing other dimensions. To combat this threat, the human realm of Septpia established the Another Logic Counter Agency (ALCA), which employs "Logicalists"—individuals capable of forming bonds with peaceful Foreigners, sharing their Logic to reduce dangers.
Yoshichika Tsurugi, once a powerful Logicalist, lost his combat prowess two years earlier due to an incident, reducing him to an ordinary civilian. His circumstances change when he meets Athena, a deity from the Tetra-Heaven realm. She returns Yoshichika's lost Logic Card, restoring his status as a Logicalist. After forming a contract with Athena, Yoshichika rejoins ALCA and teams up with other Logicalists. Together, they strive to avert the impending threats facing their world.
