AIFeb 20, 2013

Defaults and Infinitesimals: Defeasible Inference by Nonarchimedean Entropy-Maximization

arXiv:1302.4988v113 citations
Originality Highly original
AI Analysis

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.

Foundations

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