Not Dragoner but...
It doesn't need to be an AI to replicate the crew in their roles pertaining to the running of the ship. The rules from Robot I believe can contradict the CRB so I am just talking CRB here, in keeping with what Dragoner mentioned.
From the CRB, page 92:
Intellects are improved agents, who can use Expert systems. For example, a robot doctor might be running Intellect/1 and Expert Medic/3, giving it a Medic skill of 2. An Intellect program can use a number of skills simultaneously equal to its Rating
Install one of these for each crew station with the relevant skill (pilot, engineer (jump), engineer (power), astrogation at a TL you wish to afford. Higher the TL greater the skill. All the skills for running the ship are INT or EDU based, personally I don't see piloting as a dexterity based skill, as I mentioned on the forum yesterday, it's mostly an INT based thing where you're managing information.
There's discrepancy here as the ship's computers are running different software ratings from hand helds/desk tops, I can see how some would say that this invalidates the argument for automating the ship thru CRB rules but I will say the alternate interpretation is that the rules need to be consolidated as a computer is a computer, the laptop I am typing this on is way more powerful than any of the computers on the space shuttle (but granted they are specifically geared towards a very small number of tasks which they do very well).
Therefore, whether you choose to do this with a bunch of computers from page 91 of the CRB or one computer from page 108 in the ship design sequence is something to work out.
I think that's the gist of what Dragoner was getting at. I'm sure he'll add to it, confirm it or just tell me how wrong I am...
From TL12, the Core Rules Book will let you automate a starship with a little interpretation. The extra cost of software can easily be clawed back by not paying a crew over the life of the ship.
What you then need is someone to tell the ship where to go. This is where people come in but really, they're the film's directors, they have the vision not the techs doing the
real work.
This isn't bringing AI to a ship and that sense of wonder we have.