English

Enumeration Problems Related to Ground Horn Theories

Logic in Computer Science 2008-02-05 v2 Discrete Mathematics

Abstract

We investigate the enumeration of varieties of boolean theories related to Horn clauses. We describe a number of combinatorial equivalences among different characterizations and calculate the number of different theories in nn variables for slightly different characterizations. The method of counting is via counting models using a satisfiability checker.

Cite

@article{arxiv.cs/0610054,
  title  = {Enumeration Problems Related to Ground Horn Theories},
  author = {Nachum Dershowitz and Mitchell A. Harris and Guan-Shieng Huang},
  journal= {arXiv preprint arXiv:cs/0610054},
  year   = {2008}
}

Comments

4 pages, before journal submission

R2 v1 2026-07-22T12:26:58.040Z