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- Stefan Milius, Lawrence S. Moss, Daniel Schwencke
- Logical Methods in Computer Science
- 2013

Terminal coalgebras for a functor serve as semantic domains for state-based systems of various types. For example, behaviors of CCS processes, streams, infinite trees, formal languages and non-well-founded sets form terminal coalgebras. We present a uniform account of the semantics of recursive definitions in terminal coalgebras by combining two ideas: (1)… (More)

- Stefan Milius, Thorsten Palm, Daniel Schwencke
- CALCO
- 2009

Completely iterative algebras (cias) are those algebras in which recur-sive equations have unique solutions. In this paper we study complete iterativity for algebras with computational effects (described by a monad). First, we prove that for every analytic endofunctor on Set there exists a canonical distributive law over any commutative monad M , hence a… (More)

- Daniel Schwencke
- Inf. Comput.
- 2010

Covarieties of coalgebras are those classes of coalgebras for an endofunctor H on the category of sets that are closed under coproducts, subcoalgebras and quotients. Equivalently, covarieties are classes of H-coalgebras that can be presented by co-equations. Adámek introduced a logic of coequations and proved soundness and completeness for all polynomial… (More)

- Stefan Milius, Lawrence S. Moss, Daniel Schwencke
- FOSSACS
- 2010

Final coalgebras for a functor serve as semantic domains for state based systems of various types. For example, formal languages, streams, non-well-founded sets and behaviors of CCS processes form final coalgebras. We present a uniform account of the semantics of recursive definitions in final coal-gebras by combining two ideas: (1) final coalgebras are… (More)

- Daniel Schwencke
- Electr. Notes Theor. Comput. Sci.
- 2008

Introduction Motivation Goal Deduce properties of (state-based) systems from known properties of these systems. Introduction Motivation Goal Deduce properties of (state-based) systems from known properties of these systems. concept model as example system coalgebra deterministic automaton system property coequation each state accepts the empty word… (More)

- Daniel Schwencke
- CSL
- 2011

Deterministic recursive program schemes (RPS's) have a clear category theoretic semantics presented by Ghani et al. and by Milius and Moss. Here we extend it to nondeterministic RPS's. We provide a category theoretic notion of guardedness and of solutions. Our main result is a description of the canonical greatest solution for every guarded nondeterministic… (More)

Terminal coalgebras for a functor serve as semantic domains for state-based systems of various types. For example, formal languages, streams, infinite trees, non-well-founded sets and behaviors of CCS processes form terminal coalgebras. We present a uniform account of the semantics of recursive definitions in terminal coalgebras by combining two ideas: (1)… (More)

- Daniel Schwencke
- 2014

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