The inconsistency of higher order extensions of Martin-Löf's type theory (Q583201)
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scientific article; zbMATH DE number 4132150
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The inconsistency of higher order extensions of Martin-Löf's type theory |
scientific article; zbMATH DE number 4132150 |
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The inconsistency of higher order extensions of Martin-Löf's type theory (English)
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1989
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The author shows the inconsistency of the higher order system resulting from addition of the axiom PROP:SET, i.e. the category of propositions is a set, to Martin-Löf's constructive type theory. Inconsistency also results for a more restricted extension obtained by adding two new category objects to constructive second order logic.
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constructive higher order systems
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inconsistency
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Martin-Löf's constructive type theory
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