You seem to think that FATE is limited to act like a modern day computer.
The difference is that it's from 2400 AD.
I doubt technology is really all that limited in capabilities.
I'm not about to speculate on the theoretical powers of a supercomputer from a fictional story. The fact of the matter is, the Chrono universe has no "modern day" equivalent, so I have no method of comparing or contrasting our technology versus theirs. However, speculating make-believe powers in order to make a story work is just a tell-tale sign of lazy storytelling. For example, you read a realistic crime drama, and then somewhere in the story, the main character suddenly picks up a bus and throws it across the street. Then someone claims, "Oh, see, it's a fictional story so we don't know what the character can do! The author never even said main character was born on Earth, so for all we know, he be Kryptonian and have superpowers!" Speculating is fine and dandy to certain limits. But the problem is when you just stretch it too far.
Nowhere directly. But then again, the game leaves out alot of things you need to piece together with information already there. Thing is, where do you draw the line on which timelines exist when? Timeline creation, destruction, and splitting obviously doesn't work in linear time as we think it. Plus, Belthasar could have programmed FATE to do what it did.
Linear time isn't the point. Timelines are sequences of events, and the only way to
foresee a timeline is to foresee an entire sequence of events. You can't foresee a sequence of events for a situation that has not happened, which means, past the moment when FATE went through time, Belthasar's plan should have been COMPLETELY working in the dark. Again, there was NO WAY he could have foreseen the involvement of Porre, Schala, Dinopolis AND the divergent history of humanity (let alone the actions of the Chrono Trigger cast within the new timeline). There was nothing to base it on. And if you start believing that he can foresee the action that EVERY LIVING BEING in three worlds (that don't even exist yet) over a 10,000 year period of time, then you might as well believe that he's God.
Also, he could NOT have programmed FATE to do everything. For example, what program could he give FATE for sealing up the Dragon Gods? Elements, the Dragon Gods, and Terra Tower never existed in his own timeline. This was done independently by the Earth itself and FATE reacted based on the situation at hand. There was NO WAY Belthasar could have told it how to handle the situation.