##  [Universal Horn Theory](/universal-horn-theory) 

  ##  [Universal Horn Theory](https://puremath.quantumdictionary.io/universal-horn-theory-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A first-order theory axiomatized by universally quantified Horn sentences: implications whose antecedent is a conjunction of atomic formulas (often equations) and whose consequent is a single atomic formula or falsity.