W-types in setoids
We present a construction of W-types in the setoid model of extensional Martin-L\"of type theory using dependent W-types in the underlying intensional theory. More precisely, we prove that the internal category of setoids has initial algebras for polynomial endofunctors. In particular, we chara...
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| Format: | Article |
| Language: | English |
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Logical Methods in Computer Science e.V.
2021-09-01
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| Series: | Logical Methods in Computer Science |
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| Online Access: | https://lmcs.episciences.org/5764/pdf |