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Lecture Notes in Computer Science
This paper studies fundamental questions concerning categorytheoretic models of induction and recursion. We are concerned with the relationship between well-founded and recursive coalgebras for an endofunctor. For monomorphism preserving endofunctors on complete and well-powered categories every coalgebra has a well-founded part, and we provide a new, shorter proof that this is the coreflection in the category of all well-founded coalgebras. We present a new more general proof of Taylor'sdoi:10.1007/978-3-030-45231-5_2 fatcat:x376nvmz75bfvekoy7gva4ivhm