Domain theory is a branch of mathematics that studies special kinds of partially ordered sets (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 languages. Domain theory formalizes the intuitive ideas of approximation and convergence in a very general way and has close relations to topology. An alternative important approach to denotational semantics in computer science is that of metric spaces.
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Famous quotes containing the words domain and/or theory:
“You are the harvest and not the reaper
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—John Ashbery (b. 1927)
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For whom the word is the making of the world,
The buzzing world and lisping firmament.”
—Wallace Stevens (18791955)