A type theoretic interpretation of constructive domain theory (Q1923827)
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scientific article; zbMATH DE number 934093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A type theoretic interpretation of constructive domain theory |
scientific article; zbMATH DE number 934093 |
Statements
A type theoretic interpretation of constructive domain theory (English)
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13 October 1996
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A well-pointed Cartesian closed category of semilattices and approximable mappings is constructed. The construction is completely formalized and checked using the interactive ``proof assistant'' ALF (developed by L. Augustsson, T. Coquand and B. Nordström). In fact, the general frame is that of P. Martin-Löf's type theory for \(\lambda\)-calculus, and the notion of domain ``interpreted'' in such theories is stronger than the ``classical'' one (D. Scott). The complete semilattices are generated by semilattices in the same way as Scott domains are generated by consistent semilattices.
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interactive proof assistant ALF
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constructive type theory
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Cartesian closed category
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semilattices
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approximable mappings
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\(\lambda\)-calculus
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domain
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