The "BioShock" creator confirmed the news via Twitter, where he admitted he didn't know whether his draft would be used by the film's new writer, reported Digital Spy.
"People been asking if Kinberg working from my draft on Logan's Run. Don't know, word is one major thing at least is surviving. Learned a lot," Levine said.
"Going to write up some learnings I took away working on Logan's Run on Medium soon. But my time on Logan's was an amazing experience. Worked with great people at Warner's. And I got to play in my favourite fictional universe."
Released in 1976, the original "Logan's Run" starred Michael York in a seemingly idyllic future where human beings live inside a domed city.