Representations of first order function types as terminal coalgebras

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Abstract

We show that function types which have only initial algebras for regular functors in the domains, i.e. first order function types, can be represented by terminal coalgebras for certain nested functors. The representation exploits properties of ωop-limits and local ω-colimits.© Springer-Verlag Berlin Heidelberg 2001.

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Altenkirch, T. (2001). Representations of first order function types as terminal coalgebras. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2044 LNCS, pp. 8–21). Springer Verlag. https://doi.org/10.1007/3-540-45413-6_5

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