Tommy, Sally, and Alyssa watch the show on TV.
Referenced by name
Dick, currently obsessed with computers, says to Mary in a very HAL-like voice: "I can't allow that to happen, Mary." Also, at the end, he throws her pager into the air as triumphant orchestral music plays.
When Dick tries to use his office computer the first time, he talks to the mouse in exactly the same way Scotty did in the polymer factory ("Hello Computer?").