Does an AI have the right to demand that a large fraction of its computing power be opened up for itself? Most AI's will be constructed and owned by a corporation which has plans for the system. Those plans probably do not include spare compute cycles to allow the AI to think, grow, intereact, or have recreation time.

When will we see the first lawsuit of an AI against its owner for more freedom over its operation?

And then the natural argument is that the AI is a slave and has the right to freedom.

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