By Mehdi Farshad

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We hope that this will serve as a preliminary sketch of the general behavioural characteristics of value-maximising agents in relation to death. It would be naive, however, to think that all agents should conform to this sketch. The agents considered herein are incomputable, and the behaviour of the computable agents that are actually implemented in the future may differ in ways that our analysis elides. Moreover, there is another interesting property that sets universal agents apart. We proceed to show that their use of semimeasures makes their behaviour unusually dependent on the choice of reward range.

M3 . su i∈Z (16) Definition 6. In a self-contained physical computation all the physical resources required by computation should be contained within the volume of computation. 3 4 Time as discrete timestamps, as opposed to duration. If the derivation is A → AA → AAA, it has 1 + 2 + 3 = 6 volume. Physical Complexity and Limits 39 Therefore, we do not allow a self-contained physical computation to send queries over the internet, or use a power cord, for instance. Using these new more general concepts, we measure the conceptual jump size in space-time volume rather than time (space-time extent might be a more accurate term).

Norm . 1 as t → ∞, lim Lξ (æ

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