 ##  [Herbrand Method](/herbrand-method) 

  ##  [Herbrand Method](https://mathlogic.quantumdictionary.io/herbrand-method-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

A proof-theoretic technique that reduces first-order satisfiability to propositional satisfiability by constructing finite (or effectively enumerable) sets of ground instances—Herbrand expansions—based on the Herbrand universe.