##  [Heyting Algebra](/index.php/heyting-algebra) 

  ##  [Heyting Algebra](https://puremath.quantumdictionary.io/heyting-algebra-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A bounded lattice (with 0 and 1) equipped with a binary implication operation → satisfying the adjunction a ∧ b ≤ c iff a ≤ (b → c); provides an algebraic semantics for intuitionistic propositional logic where the law of excluded middle need not hold.