On the solvability of inductive problems: A study in epistemic topology

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Abstract

We investigate the issues of inductive problem-solving and learning by doxastic agents. We provide topological characterizations of solvability and learnability, and we use them to prove that AGM-style belief revision is "universal", i.e., that every solvable problem is solvable by AGM conditioning.

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Baltag, A., Gierasimczuk, N., & Smets, S. (2016). On the solvability of inductive problems: A study in epistemic topology. In Electronic Proceedings in Theoretical Computer Science, EPTCS (Vol. 215, pp. 81–98). Open Publishing Association. https://doi.org/10.4204/EPTCS.215.7

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