 ##  [Proof-Theoretic Semantics](/proof-theoretic-semantics) 

  ##  [Proof-Theoretic Semantics](https://mathlogic.quantumdictionary.io/proof-theoretic-semantics-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

An approach that assigns meaning to logical connectives and formulas by their roles in inference—rules of introduction and elimination—rather than by model-theoretic truth conditions.