Embedding intuitionistic-type theory in negationless-type theory (Q1820157)
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scientific article; zbMATH DE number 3993583
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Embedding intuitionistic-type theory in negationless-type theory |
scientific article; zbMATH DE number 3993583 |
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Embedding intuitionistic-type theory in negationless-type theory (English)
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1986
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In ''A formal system of negationless arithmetic that is consistent with respect to Heyting arithmetic'' [Mat. Zametki 36, No.4, 583-592 (1984; Zbl 0576.03037)] the author shows that Heyting arithmetic is a conservative extension of \(HA^ N\)- a system of negationless arithmetic, under certain interpretation. Here he extends this result to the case of intuitionistic type theory HATT and a system of negationless type theory HATTN.
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Heyting arithmetic
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intuitionistic type theory
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negationless type theory
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