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Bereichstheorie
'''Domain theory''' is a   branch of [[mathematics]] that studies special kinds of [[partially ordered set]]s (posets) commonly called '''domains'''. Consequently, domain theory can be considered as a branch of [[order theory]]. The field has major applications in [[computer science]], where it is used to specify [[denotational semantics]], especially for [[functional programming|functional programming languages]]. Domain theory formalizes the intu(contracted; show full)

:<math> y \sqsubseteq \sup D </math>,

there is some element ''d'' in ''D'' such that 

:<math
> x \sqsubseteq d </math>.

Then one also says that ''x'' ''approximates'' ''y'' and writes 

:<math> x \ll y </math>.

This does imply that 

(contracted; show full)[[Category:Domain theory]]
[[Category:Fixed points (mathematics)]]

[[fa:نظریه دامنه]]
[[fr:Théorie des domaines]]
[[ko:도메인 이론]]
[[ja:領域理論]]
[[zh:域理论]]