1. The most important concepts of domain theory will nonetheless be introduced below. 2. A fundamental theorem of computational domain theory is that if "'progression "' 3. Directed subsets are used in domain theory , which studies directed complete partial orders. 4. For example, the domain theory for chess is simply the rules of chess. 5. Such posets which are dcpos are much used in domain theory . 6. Beside these desirable properties, domain theory also allows for an appealing intuitive interpretation. 7. This occurs for example in domain theory , where function spaces play an important role. 8. In this section, the central concepts and definitions of domain theory will be introduced. 9. In domain theory , one often deals with so-called Scott-continuous functions that preserve all directed suprema. 10. Domain theory is a purely " qualitative " approach to modeling the structure of information states.
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