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Knaster-Tarski Revisited

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Abstract. The concept “complete partial order” is generalized to the concept “functionally complete partial order.” The correctness of a corresponding generalization of the Knaster-Tarski fixpoint theorem is proved. The theory is applied to yield a fixpoint mapping theorem.
Association for Computing Machinery (ACM)
Title: Knaster-Tarski Revisited
Description:
Abstract.
The concept “complete partial order” is generalized to the concept “functionally complete partial order.
” The correctness of a corresponding generalization of the Knaster-Tarski fixpoint theorem is proved.
The theory is applied to yield a fixpoint mapping theorem.

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