 ##  [Theory Translation](/theory-translation) 

  ##  [Theory Translation](https://mathlogic.quantumdictionary.io/theory-translation-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 syntactic mapping from formulas and proofs of one theory into another that aims to preserve logical consequence, provability, or other structural proof-theoretic relations so that derivations in the source correspond to derivations in the target.