Initial Algebras and Terminal Coalgebras

‘The ultimate book explaining the state-of-the-art in the field of initial algebras and terminal coalgebras. Highly recommended to readers seeking both an introduction as well as an in-depth treatment of a general theory of iteration, with applications in algebraic specification, state-based modelling and behavioural equivalence.’ Barbara König, Universität Duisburg-Essen‘Fixed points are central to computer science. The book is therefore a must for every categorically minded computer scientist.’ Ichiro Hasuo, National Institute of Informatics

Jiří Adámek is Professor in the Department of Mathematics at Czech Technical University Prague and Professor Emeritus in the Department of Computer Science at Technical University Braunschweig. He has authored and co-authored ten books, including ‘Locally Presentable and Accessible Categories’ (1994), ‘Abstract and Concrete Categories’ (1990), and ‘Algebraic Theories’ (2011). He is an EATCS Fellow.

Stefan Milius is Professor in the Department of Computer Science at Friedrich-Alexander-Universität Erlangen-Nürnberg. An expert in the theory of coalgebras, he is also well known for his work on the category-theoretic approach to the semantics of iteration and recursion, for which he has won the prestigious Ackermann Award. He is one of the inventors of the categorical approach to algebraic language theory.

Lawrence S. Moss is Professor in the Mathematics Department at Indiana University Bloomington. He is President of the Association for Logic, Language, and Information, and co-authored ‘Vicious Circles’ (1996) and ‘Mathematical Structures in Language’ (2016). He is known for work on dynamic epistemic logic, non-well-founded sets and circularity, coalgebra, natural logic, and other areas of logic and mathematics.