
Induction principles for type theories, internally to presheaf categories
We present new induction principles for the syntax of dependent type the...
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Large and Infinitary Quotient InductiveInductive Types
Quotient inductiveinductive types (QIITs) are generalized inductive typ...
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Shallow Embedding of Type Theory is Morally Correct
There are multiple ways to formalise the metatheory of type theory. For ...
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Signatures and Induction Principles for Higher InductiveInductive Types
Higher inductiveinductive types (HIITs) generalize inductive types of d...
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Ambrus Kaposi
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