[TulliusCicero]

It absolutely is, which is partly why there aren't any good AI's for it yet, even though we have ones that can crush the best players in the world at Go.

Go's game state, for example, is very small. You can pretty much represent it with a 19x19 array of 2-bit variables, because each space only has three possible states. That's only 722 bits. Maybe a few more to track whose turn it is and how many pieces each player has remaining.

In contrast, Starcraft can have hundreds of units in play from dozens of types, each of which usually has at least a position value (x and y) and a health value, and commonly has other things like energy value and cooldown values. And each of these you'd need at least a 16-bit int. And that doesn't even get into the enormously larger possible action space for each "turn".