Categories and all that -- A Tutorial [article]

Ernst-Erich Doberkat
2014 arXiv   pre-print
This is a short introduction to categories with some emphasis on coalgebras. We start from introducing basic notions (categories, functors, natural transformations), move to Kleisli tripels and monads, with a short discussion of monads in Haskell, and continue with displaying the interplay between algebras, adjunctions and monads. Coalgebras are discussed and applied to the semantics of modal logics, giving a brief introduction to coalgebraic logics as well. The development is illustrated
more » ... h examples, usually taken from applications to computer science, with a certain predilection for stochastic systems.
arXiv:1403.7760v2 fatcat:ziw5xxc2cvc5pbgfkro4jia74m