English

First-Order Bayesian Network Specifications Capture the Complexity Class PP

Artificial Intelligence 2016-09-13 v1 Computational Complexity Logic in Computer Science

Abstract

The point of this note is to prove that a language is in the complexity class PP if and only if the strings of the language encode valid inferences in a Bayesian network defined using function-free first-order logic with equality.

Keywords

Cite

@article{arxiv.1609.03437,
  title  = {First-Order Bayesian Network Specifications Capture the Complexity Class PP},
  author = {Fabio Gagliardi Cozman},
  journal= {arXiv preprint arXiv:1609.03437},
  year   = {2016}
}

Comments

7 pages, 1 figure

R2 v1 2026-06-22T15:47:13.285Z