My favorite Sci-Fi AI is probably in Larry Niven's World of Ptavvs, the "brain board". It's not covered in much depth but I like it because it's basically vibe coding GPT3.5 from 1966:

> He read, "Time to recharge battery:" followed by the spiral hieroglyph, the sign of infinity.

> Thud, said the brain. Kzanol read, "Re-estimate of trip time to Thrintun:" followed by a spiral.

At the brain board he typed: "Compute a course for any civilized planet, minimum trip time. Give trip time."

...

Thud! The screen said, "No solution."

Nonsense! The battery had a tremendous potential, even after a hyperspace jump it must still have enough energy to aim the ship at some civilized planet. Why would the brain...?

Then he understood. The ship had power, probably, to reach several worlds, but not to slow him down to the speed of any known world. Well, that was all right. In his stasis field Kzanol wouldn't care how hard he hit. He typed: "Do not consider decrease of velocity upon arrival. Plot course for any civilized planet. Minimize trip time."

The answer took only a few seconds. "Trip time to Awtprun 72 Thrintun years 100.48 days."