 ##  [Congruence Closure](/index.php/congruence-closure) 

  ##  [Congruence Closure](https://mathlogic.quantumdictionary.io/congruence-closure-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

An algorithmic mechanism that computes the smallest congruence relation containing a given set of equalities over terms, typically by merging equivalence classes and propagating function congruence to enable efficient equality reasoning, especially in theories of uninterpreted functions.