 ##  [Computable Function](/computable-function) 

  ##  [Computable Function](https://natural.quantumdictionary.io/computable-function-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural &amp; Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A mapping from finitely encoded inputs (commonly finite strings or natural numbers) to outputs for which there exists a finite, mechanically executable procedure that, on every valid input, halts and produces the correct output.