 ##  [Herbrand Base](/herbrand-base) 

  ##  [Herbrand Base](https://mathlogic.quantumdictionary.io/herbrand-base-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

The collection of all ground atomic formulas (atoms with no variables) that can be formed by applying predicate symbols to tuples of terms from the Herbrand universe of a language.