On the syntax of Martin-Löf's type theories (Q1099173)
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scientific article; zbMATH DE number 4039894
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the syntax of Martin-Löf's type theories |
scientific article; zbMATH DE number 4039894 |
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On the syntax of Martin-Löf's type theories (English)
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1987
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The paper gives a precise syntactical presentation of the arithmetical fragment (without universes and W-operator for the formation of well- founded trees) of Martin-Löf's type theories, both in an intensional and an extensional version. Some elementary proof-theoretic properties are established, such as normalization of terms, the equivalence between several versions, and the dropping of type-statement premises.
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arithmetic fragment of Martin-Löf's type theories
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normalization of terms
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