Jiří Adámek ; Stefan Milius ; Lawrence S Moss ; Lurdes Sousa - Well-Pointed Coalgebras

lmcs:704 - Logical Methods in Computer Science, August 9, 2013, Volume 9, Issue 3 - https://doi.org/10.2168/LMCS-9(3:2)2013
Well-Pointed CoalgebrasArticle

Authors: Jiří Adámek ; Stefan Milius ; Lawrence S Moss ; Lurdes Sousa ORCID

    For endofunctors of varieties preserving intersections, a new description of the final coalgebra and the initial algebra is presented: the former consists of all well-pointed coalgebras. These are the pointed coalgebras having no proper subobject and no proper quotient. The initial algebra consists of all well-pointed coalgebras that are well-founded in the sense of Osius and Taylor. And initial algebras are precisely the final well-founded coalgebras. Finally, the initial iterative algebra consists of all finite well-pointed coalgebras. Numerous examples are discussed e.g. automata, graphs, and labeled transition systems.


    Volume: Volume 9, Issue 3
    Published on: August 9, 2013
    Imported on: July 31, 2012
    Keywords: Computer Science - Logic in Computer Science,Mathematics - Category Theory
    Funding:
      Source : OpenAIRE Graph
    • Categorical Methods in Non Abelian Algebra; Code: PTDC/MAT/120222/2010

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