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ChristianKl comments on Reply to Holden on 'Tool AI' - Less Wrong
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How do we know that the problem is finite? When it comes to proving a computer program safe from being hacked the problem is considered NP-hard. Google Chrome got recently hacked by chaining 14 different bugs together. A working AGI is probably as least a complex as Google Chrome. Proving it safe will likely also be NP-hard.
Google Chrome doesn't even self modify.