Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics a
structure that isdual tounital associative algebras
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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Finally, our work incorporates many ideas and results coming from the coalgebra research community in the years following the publication of Aczel 1988.
Non-wellfounded Set Theory Moss, Lawrence S. 2008
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This was not so much because it raised questions about set theory, but rather because it showed the value of using the categorical notion of a coalgebra.
Non-wellfounded Set Theory Moss, Lawrence S. 2008
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We shall also be concerned with situating both the mathematics and the underlying intuitions in a broader picture, one derived from work in coalgebra.
Non-wellfounded Set Theory Moss, Lawrence S. 2008
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But it quickly became apparent that this notion of coalgebra could be studied on its own, that themes from the book had a field of application much wider than pure set theory.
Non-wellfounded Set Theory Moss, Lawrence S. 2008
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Incorporating concepts and results from category theory, coalgebra leads us to concepts such as corecursion and coinduction; these are in a sense duals to the more standard notions of recursion and induction.
Non-wellfounded Set Theory Moss, Lawrence S. 2008
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_*: Stream a - > StObserve a data StObserve (a: Set): Set where empty: StObserve a nonempty: a - > Stream a - > StObserve a appears in the domain, rather than the range of _* because we are defining a coalgebra and
Planet Haskell 2008
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