 ##  [Decision Procedure](/decision-procedure) 

  ##  [Decision Procedure](https://mathlogic.quantumdictionary.io/decision-procedure-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 deterministic algorithm or mechanism that, for every input formula in a specified logical theory or fragment, terminates and correctly declares whether the formula is satisfiable (or belongs to the theory) according to soundness and completeness guarantees for that fragment.