 ##  [Quantifier-Free Type](/quantifier-free-type) 

  ##  [Quantifier-Free Type](https://mathlogic.quantumdictionary.io/quantifier-free-type-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 set of quantifier‑free formulas in a fixed tuple of variables that a given tuple realizes in a structure or that are consistent with a theory; it records only atomic and Boolean combinations of atomic information, omitting quantified statements.