Yeah, phrasing it right wouldn't be trivial, but much easier than making wishes for UFAI, because Veritaserum is the equivalent of perfect box for AI, and Draco is human, so most of the definitions and assumptions he shares with the judges.
So maybe: "Tell me the things, you think I would want to know about, according to the best model of me you can construct."
With heavily leveraged trading on forex ( http://en.wikipedia.org/wiki/Foreign_exchange_market ) , he can make 100 galleons into 100 000 galleons in one hour (with leverage of 0.2% you earn profits from trading of X, but you only need to really have 0.002 of X). And you can do this over internet, by a few back and forth trades that lasts for a few minutes.
I'd say Harry would trade with Lucius - Harry would testify under Veritaserum that Dumbledore confesed to Him, that he burned Narcissa. In exchange Lucius would let Hermione free.
Harry don't know if Dumbledore burned Narcissa, but probably can beat Veritaserum (according to Quirell), and with his evil side enabled he can risk trying it.
Similiar to "make Dumbledore turn himself in", but Dumbledore had chance to do that, and declined, and I don't know if Harry can blackmail Dumbledore serioulsy enough for this. But Harry don't need to blackmail Dumbledore.
Harry promises Lucius to speak under Veritaserum, that Dumbledore confesed to Harry, that he burned Narcisa. Harry is occlumens or almost occlumens, so he can beat Veritaserum, but everybody don't know it.
Lucius Malfoy has his revenge, and his son, so he let Hermione free. Dumbledore loses, and maybe everything is lost, but Hermione is free. That's taboo tradeoff.
I doubt PR counted for much among deatheaters, so Dumbledore did not lose anything here, and for the rest of wizarding Brittain - they didn't have a choice other than Dumbledore, so they wouldn't believe deatheaters that DD could do sth like that. And later they would not change their opinions, but would forgot their motivation (because it was unplesant - fear of worse evil).
Very similiar thing happened in real life in WW2. http://en.wikipedia.org/wiki/Katyn_massacre Nazi Germany announced in 1943 that they have found mass graves of tousands Polish prisone...
Wow. I like the idea that Dumbledore burned Narcissa, told Lucius and the other Death Eaters and consciously relied on his good reputation to ensure no one else would believe he'd done it. That's creepy. You're right, that does take care of the "how does he have such a positive reputation, then?" objection.
I still think Fawkes would have a problem with it unless he'd tried everything else first. Fawkes is presented as quite the moral absolutist. But maybe Fawkes wasn't around - and possibly he did try lesser measures first.
Stealth - not only he must transfer cloak to Hermione - he must also get Hermione out of court, and she must be in cloak at all times to prevent tracking magic, and Harry must have the cloak with himself, when Dumbledore will want to see it, when tracking magic will stop working (and there's spell that detects if cloak is nearby).
One way to do this - duplicate cloak using time turner for the moment Dumbledore will want to check it.
Scheme:
Harry takes cloak, mokesking pouch, and time turner with himself to the court
Harry waits for Hermione to disappear
Did anybody bothered to check previous spells on Hermione, Snape, and Quirrell wands? EDIT: Ok, we''re told Quirrell cast tens of spells since 06:33, still - they should check just to be sure.
Now it seems Harry should just kidnapp Hermione and hide here somewhere(And give her cloak to hide her from tracking spels).
"Professor Quirrell had cast tracking Charms because he had learned of a person with a motive to harm Mr. Malfoy. Professor Quirrell had refused to identify this person." hmm, why hadn't they used veritaserum on Quirrell to ask him who ...
But Harry later tested time loops, and system somehow told him to stop messing with time. EDIT: If the computer MoR runs on is really able to compute infinite loops in one sweep, then there's no reason not to allow Harry to compute his primes. Instead something scarry happened so Harry had to tell himself not to mess with time.
So maybe it is Turing computable after all, it just have watchdogs to stop loops after some iteration.
Jumping in time just 6 hours back indicates to me that in the computer that is simulating MoR universe data is kept with 6-hours long cache.
As to Atlantis - they found a way to get out of the box - one level up, and they've left some cheat-codes for people that are still in this simulation. That also explains why some very important figures (like Dumbledore) think MoR runs on stories - somebody outside of simulation changes the simulation accordingnly. Maybe this simulation purpose is to make the best stories?
Also explains why prophecy works for more than ...
Complicated and risky plot (he teach well his future enemies). Sacking Dumbledore doesn't seem worthy such big risk. Quirrell now has the possibility to teach future wizards what he thinks will serve him, is impossible to fire, has influence on Harry, and Dumbledore doesn't seem to get much value out of being head of the Hogward.
I think Quirrell wants to unite wizards using some external enemy, and conquer the world/stop muggles from nuking themselves. Harry has great PR, so he'll be the fuhrer of united magical Brittain, and Quirrell will provide common enemy somehow to make it easier for Harry to rule.
Testing which potion we got by such and such stirring pattern would be fun.
You give it to your hero and he is instantly dead. Or you give it to some criminal sentenced to death/Azkaban and he becomes unkillable for a month, or invisible to Dementors :)
Or you give it to rat and nothing happens - you try to kill the rat and he's killed - maybe that was potion that makes you invisible to dementors?
For Quirrell it would be "in character" to kill Dumbledore in such a way, that everybody would think it was natural death. Or at least assasinate him quietly without witnesses, without time for Dumbledore to react.
BTW - what stops Quirrell from polyjuicing as Harry, asking for private audience in Dumbledore apartment, doing quick surprise Avada Kedavra, and flying out of window? Or better yet - put Albus body to magical pouch, polyjuice as Dumbledore and run Hogward ever since. Dumbledore behaves quite strange, and rarely shows publicly, so it wo...
So if I specified to the Outcome Pump, that I want the outcome, where the person, that is future version of me (by DNA, and by physical continuity of the body), will write "ABRACADABRA, This outcome I good enough and I value it for $X" on the paper and put in on the outcome pump, and the $X is how much I value the outcome. And if this won't happen in one year, I don't want this outcome, either).
Are there any loopholes?
If I am simulated the decision I will take is determined by AI not by my - I have no free will - I feel, that I make decision, but it is in reality the AI simulated me for her purposes in such a way, that I decided so and so - I assign probability 0.9999999 to this, but nothing depends on my decision here, so I can as well "try to decide" not to to let the AI out.
If I am not simulated, I can safely not let the AI out - probability 0.000001, but positive outcome.
And there is leverage, so you can invest 100 $, but get profits or loses like you invested 10000 $. So if theres 100x leverage, and 1% profit to make on currencies each day, you can double your money every day.
So to turn 100 galeons to 100000 galeons Harry would need 10 transactions with 1% profit each.
http://www.investopedia.com/ask/answers/06/forexleverage.asp#axzz1qS7tVBFp