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Free iterative theories: a coalgebraic view

  • JIR˘Í ADÁMEK (a1), STEFAN MILIUS (a2) and JIR˘Í VELEBIL (a3)
Abstract

Every finitary endofunctor of $\Set$ is proved to generate a free iterative theory in the sense of Elgot. This work is based on coalgebras, specifically on parametric corecursion, and the proof is presented for categories more general than just $\Set$.

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Mathematical Structures in Computer Science
  • ISSN: 0960-1295
  • EISSN: 1469-8072
  • URL: /core/journals/mathematical-structures-in-computer-science
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