Shallow embedding of type theory into Agda is injective up to definitional equality via a syntactic translation model, with implementation hiding ensuring no illegal propositional equalities arise.
In: Proceedings of the 5th Interna- tional Conference on Automated Reasoning
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Shallow Embedding of Type Theory is Morally Correct
Shallow embedding of type theory into Agda is injective up to definitional equality via a syntactic translation model, with implementation hiding ensuring no illegal propositional equalities arise.