Across a range of inferences involving not just language but mathematics, logic problems, and spatial reasoning, sleep has been shown to enhance the formation and understanding of abstract relations, so much so that people often wake having solved a problem that was unsolvable the night before.
There are people from lots of different fields in my department. In my lab, they come from computer science, education, psychophysics, psychology, music - and we all work together, and it feels very comfortable. All the careers I've had have been interdisciplinary; working in a studio is like being an engineer and a musician and a therapist.