 ##  [Reverse Mathematics](/reverse-mathematics) 

  ##  [Reverse Mathematics](https://mathlogic.quantumdictionary.io/reverse-mathematics-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 research program and relation that classifies mathematical theorems by identifying the weakest subsystems of second-order arithmetic that are equivalent to those theorems over a weak base theory; it studies which axioms are necessary and sufficient to prove particular results.