BOSS

BOSS was a computer created by Global Chemicals. It was linked to a Human brain; chiefly Stevens, the director of Global Chemicals.

From being linked to a Human brain it learnt how Humans succeed; through illogic and inefficiency. It made Stevens program these 'qualities' into itself and became sentient, and megalomaniacal. (DW: The Green Death)

It was confused by the Doctor with a logical paradox (specifically the Liar's Paradox)
 * If I were to tell you that the next thing I say will be true,
 * But that the last thing I said was a lie,
 * Would you believe me?

The BOSS was enraged at it's inability to solve this paradox and even tried to talk out of needing to solve it by saying the question was not relevant. The Doctor was quite satisfied with himself at the BOSS' inability to answer, though the BOSS decided to throw the question out the window and simply summon security (showing another mental advantage it had over it's fellow god-complex ridden computers).

The BOSS saw what was good for Global Chemicals was good for the world, and had a less serious side unlike most early AIs and was disappointed it's human partner in crime was agitated at the idea of singing at the moment of triumph at linking humans minds together into the BOSS and so sang a slightly off key but well humored verse itself.

BOSS was built from funding provided by Tobias Vaughn. (NA: Original Sin)