Strokes beard thoughtfully

Fiat Homo, Part One of A Canticle For Leibowitz: The 26th century life of novice monk Brother Francis Gerard of Utah. Read by Nigel Lindsay.

Idle question

What's the SF analog to the cozy mystery? For self-serving purposes I am going to take the narrow view of SF here and leave out anything that would be sold as fantasy.

And a follow up question

Are there any cozies set in generation starships? If not, why not?