Definify.com
Definition 2025
Knaster-Tarski_theorem
Knaster-Tarski theorem
English
Proper noun
Knaster-Tarski theorem
- (mathematics) A theorem stating that, if L is a complete lattice and f : L → L is an order-preserving function, then the set of fixed points of f in L is also a complete lattice. It has important applications in formal semantics of programming languages and abstract interpretation.