A coalgebraic view on reachability

Thorsten Wißmann; Stefan Milius; Shin-ya Katsumata; Jérémy Dubut

Commentationes Mathematicae Universitatis Carolinae (2019)

  • Volume: 60, Issue: 4, page 605-638
  • ISSN: 0010-2628

Abstract

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Coalgebras for an endofunctor provide a category theoretic framework for modeling a wide range of state-based systems of various types. We provide an iterative construction of the reachable part of a given pointed coalgebra that is inspired by and resembles the standard breadth-first search procedure to compute the reachable part of a graph. We also study coalgebras in Kleisli categories: for a functor extending a functor on the base category, we show that the reachable part of a given pointed coalgebra can be computed in that base category.

How to cite

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Wißmann, Thorsten, et al. "A coalgebraic view on reachability." Commentationes Mathematicae Universitatis Carolinae 60.4 (2019): 605-638. <http://eudml.org/doc/295060>.

@article{Wißmann2019,
abstract = {Coalgebras for an endofunctor provide a category theoretic framework for modeling a wide range of state-based systems of various types. We provide an iterative construction of the reachable part of a given pointed coalgebra that is inspired by and resembles the standard breadth-first search procedure to compute the reachable part of a graph. We also study coalgebras in Kleisli categories: for a functor extending a functor on the base category, we show that the reachable part of a given pointed coalgebra can be computed in that base category.},
author = {Wißmann, Thorsten, Milius, Stefan, Katsumata, Shin-ya, Dubut, Jérémy},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {coalgebra; reachability; Kleisli category},
language = {eng},
number = {4},
pages = {605-638},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A coalgebraic view on reachability},
url = {http://eudml.org/doc/295060},
volume = {60},
year = {2019},
}

TY - JOUR
AU - Wißmann, Thorsten
AU - Milius, Stefan
AU - Katsumata, Shin-ya
AU - Dubut, Jérémy
TI - A coalgebraic view on reachability
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2019
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 60
IS - 4
SP - 605
EP - 638
AB - Coalgebras for an endofunctor provide a category theoretic framework for modeling a wide range of state-based systems of various types. We provide an iterative construction of the reachable part of a given pointed coalgebra that is inspired by and resembles the standard breadth-first search procedure to compute the reachable part of a graph. We also study coalgebras in Kleisli categories: for a functor extending a functor on the base category, we show that the reachable part of a given pointed coalgebra can be computed in that base category.
LA - eng
KW - coalgebra; reachability; Kleisli category
UR - http://eudml.org/doc/295060
ER -

References

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