i've just recently finished peter watts "freeze frame revolution" of the sunflower cycle, where the gate-building spaceship eriophora is mostly on its own for thousands of years while the crew sleeps, guided by an AI called "the chimp".
-- spoilers --
one of the key ideas in this book is that the ships AI - the chimp - is not advanced at all, with a synapse count of roughly the chimp. anything more intelligent would get unstable and develop its own motives, so the original builders constructed it to be comparatively dumb and thus stable, predictable and deterministic (the humans are woken up only in case something unexpected happens which requires more creativity and brainpower).