 ##  [Interpretability](/index.php/interpretability) 

  ##  [Interpretability](https://mathlogic.quantumdictionary.io/interpretability-0) 

  

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

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A formal relation between theories where one theory T is interpretable in another theory S if there exists a definable translation of the language of T into S that maps axioms of T to S‑provable formulas, thereby preserving provability and consequence of T within S.