English

On the Solvability of Inductive Problems: A Study in Epistemic Topology

Logic in Computer Science 2016-06-27 v1 Machine Learning

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.

Keywords

Cite

@article{arxiv.1606.07518,
  title  = {On the Solvability of Inductive Problems: A Study in Epistemic Topology},
  author = {Alexandru Baltag and Nina Gierasimczuk and Sonja Smets},
  journal= {arXiv preprint arXiv:1606.07518},
  year   = {2016}
}

Comments

In Proceedings TARK 2015, arXiv:1606.07295