 ##  [Proof Nets](/index.php/proof-nets) 

  ##  [Proof Nets](https://mathlogic.quantumdictionary.io/proof-nets-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 graphical, canonical representation of proofs in fragments of linear logic where formulas and their connections are rendered as nodes and links; proof nets expose parallelism, collapse syntactic bureaucracy of sequent proofs, and admit graphical correctness criteria and cut-elimination as local graph transformations.