Coinitial semantics for redecoration of triangular matrices


In Martin-Löf type theory, simple inductive types—W-types—are characterized categorically as initial algebras of a polynomial functor. Dually, coinductive types are characterized as terminal coalgebras of polynomial functors. In the case of coinductive types, the meta-theoretic notion of equality given by Martin-Löf’s identity type is too weak: instead, the… (More)


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