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.
Read more about Domain Theory: Motivation and Intuition, A Guide To The Formal Definitions, Important Results, Generalizations
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“You are the harvest and not the reaper
And of your domain another is the keeper.”
—John Ashbery (b. 1927)
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—Theodore Roosevelt (1858–1919)