One of the lines from the foundry's EULA reads as:
You many not make use of any copyrighted or trademarked material of third parties, and only may use the Star Trek Properties as explicitly defined in this agreement, without irrevocable licenses granted specifically for that purpose
That is one of the few parts of the EULA that isn't Star Trek specific. What I take from that line is that one is not allowed to put (for example) Harry Potter in a foundry episode. That makes perfect sense. But I have some questions on this subject. And as examples, I'm going to be using "The Last Question" by Isaac Asimov.
Using concepts from other novels: I assume straight up putting the Multivac AC computer into your story would not be okay. But say the mission had you tasked with defending a computer that has for hundreds of years been calculating the answer to a single question from, say, the Borg, and that question would be how to massively reduce the net amount of Entropy in the Universe. Would that be okay, as long as it wasn't called the Multivac AC? Or perhaps if asked a certain question, a computer would respond with "Insufficient Data for a Meaningful Answer." Is it okay to use concepts from other novels, as long as you don't straight up copy them?
Using titles from other novels in the episode name: As cool as this would be, I would imagine the answer is no. However, even though I can't think of any particular ones, I could swear I remember Star Trek doing this on multiple occasions. Name an episode after a novel, play, or old movie, and have the plot of the episode loosely based on it. I could be wrong though. But just for clarification, would it cause any problems if the foundry mission that has you defending a supercomputer tasked with calculating the answer to a single question from the Borg is titled "The Last Question"?
I'm not planning on making a foundry episode based off of The Last Question, but someday in the future I would like to make an episode loosely based off of another great piece of Science Fiction. For that reason, I thank anyone in advance for Clarifying these questions for me.
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But as always play it safe if your unsure, better not to have to pull the mission for EULA violation
None of the Star Trek novels are old enough to be in public domain.