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