 ##  [Satisfaction Relation](/satisfaction-relation) 

  ##  [Satisfaction Relation](https://mathlogic.quantumdictionary.io/satisfaction-relation-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 formal relation |= (or ⊧) between a structure (or model), a variable assignment (where applicable), and a formula that holds exactly when the formula is true in that structure under that assignment according to the language's semantic rules.