 ##  [Proof Space](/proof-space) 

  ##  [Proof Space](https://mathlogic.quantumdictionary.io/proof-space-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

The maximal amount of memory-like resource required during a proof or refutation, often formalized as the maximum number of formulas, clauses, or proof lines that must be simultaneously kept in memory under a specified proof model.