3 results
Jiří Adámek ; Mahdie Haddadi ; Stefan Milius.
An algebra is called corecursive if from every coalgebra a unique coalgebra-to-algebra homomorphism exists into it. We prove that free corecursive algebras are obtained as coproducts of the terminal coalgebra (considered as an algebra) and free algebras. The monad of free corecursive algebras is […]
Published on September 11, 2014
Jiri Adamek ; Stefan Milius ; Jiri Velebil.
Higher-order recursion schemes are recursive equations defining new operations from given ones called "terminals". Every such recursion scheme is proved to have a least interpreted semantics in every Scott's model of \lambda-calculus in which the terminals are interpreted as continuous operations. […]
Published on April 1, 2011
Thorsten Wißmann ; Ulrich Dorsch ; Stefan Milius ; Lutz Schröder.
We present a generic partition refinement algorithm that quotients coalgebraic systems by behavioural equivalence, an important task in system analysis and verification. Coalgebraic generality allows us to cover not only classical relational systems but also, e.g. various forms of weighted systems […]
Published on January 31, 2020