Can I read Inductive Coherence on EtoBox?

Inductive Coherence by Garrabrant, Scott; Fallenstein, Benya; Demski, Abram; Soares, Nate is a scholarly article available to read on EtoBox.

What is Inductive Coherence about?

While probability theory is normally applied to external environments, there has been some recent interest in probabilistic modeling of the outputs of computations that are too expensive to run. Since mathematical logic is a powerful tool for reasoning about computer programs, we consider this problem from the perspective of integrating probability and logic. Recent work on assigning probabilities to mathematical statements has used the concept of coherent distributions, which satisfy logical constraints such as the probability of a sentence and its negation summing to one. Although there are algorithms which converge to a coherent probability distribution in the limit, this yields only weak guarantees about finite approximations of these distributions. In our setting, this is a significant limitation: Coherent distributions assign probability one to all statements provable in a specific logical theory, such as Peano Arithmetic, which can prove what the output of any terminating computation is; thus, a coherent distribution must assign probability one to the output of any terminating computation. To model uncertainty about computations, we propose to work with approximations to coh

Author

Garrabrant, Scott; Fallenstein, Benya; Demski, Abram; Soares, Nate

Published

2016

Language

EN