In the year L.C. 922, mankind faces an unprecedented crisis. Following the conclusion of a hundred-year war on the mythical world of Tetraheaven, the losing Majins sought a safe haven and invaded the human world Septpia. The government is forced to fight by employing Logicalists belonging to ALCA, a special police that protects the streets from foreigners of another world. Logicalists are given a special power that allows them to enter a trance with Goddesses from the other world. The future of the world depends on the "Luck" and "Logic" and these Logicalists. (Source: MAL News)

Luck & Logic: Paradox Twin is a spin-off based on Septpia's Luck & Logic media mix project consisting of studio 's original TV anime series and a trading card game.