Defaults and Infinitesimals: Defeasible Inference by Nonarchimedean Entropy-Maximization
This work addresses reasoning under uncertainty for AI and logic communities, presenting a novel theoretical approach rather than an incremental improvement.
The paper tackles the problem of defeasible inference by introducing a new semantics based on infinitesimal probabilities and entropy maximization, resulting in a framework that interprets defaults as generalized conditional probability constraints.
We develop a new semantics for defeasible inference based on extended probability measures allowed to take infinitesimal values, on the interpretation of defaults as generalized conditional probability constraints and on a preferred-model implementation of entropy maximization.