 ##  [Exchange Argument](/exchange-argument) 

  ##  [Exchange Argument](https://mathlogic.quantumdictionary.io/exchange-argument-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 proof technique that improves a candidate solution by performing pairwise exchanges of elements or local adjustments, used to show optimality or to transform arbitrary solutions into a canonical or normal form.