40 citations · 98 across the 22 of their papers we have counts for
5 papers · 1 filter
Interaction laws of monads and comonads
Shin-ya Katsumata, Exequiel Rivas, Tarmo Uustalu
We introduce and study functor-functor and monad-comonad interaction laws as mathematical objects to describe interaction of effectful computations with behaviors of effect-perform…
Codensity Games for Bisimilarity
Yuichi Komorida, Shin-ya Katsumata, Nick Hu +2
Bisimilarity as an equivalence notion of systems has been central to process theory. Due to the recent rise of interest in quantitative systems (probabilistic, weighted, hybrid, et…
Differentiable Causal Computations via Delayed Trace
David Sprunger, Shin-ya Katsumata
We investigate causal computations taking sequences of inputs to sequences of outputs where the th output depends on the first inputs only. We model these in category theory…
Relational Differential Dynamic Logic
Juraj Kolčák, Ichiro Hasuo, Jérémy Dubut +3
In the field of quality assurance of hybrid systems (that combine continuous physical dynamics and discrete digital control), Platzer's differential dynamic logic (dL) is widely re…
A Coalgebraic View on Reachability
Thorsten Wißmann, Stefan Milius, Shin-ya Katsumata +1
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…