This book presents what in our opinion constitutes the basis of the theory of the mu-calculus, considered as an algebraic system rather than a logic. We have wished to present the subject in a unified way, and in a form as general as possible. Therefore, our emphasis is on the generality of the fixed-point notation, and on the connections between mu-calculus, games, and automata, which we also explain in an algebraic way.

This book should be accessible for graduate or advanced undergraduate students both in mathematics and computer science. We have designed this book especially for...

This volume contains the proceedings of the Fifteenth Colloquium on Trees in Algebra and Programming. The papers selected present new research results and cover the following topics: - Logical, algebraic and combinatorial properties of discrete structures (strings, trees, graphs, etc.), including the theory of formal languages considered as that of sets of discrete structures and the theory of rewriting systems over these objects. - Application of discrete structures in computer science, including syntax and semantics of programming languages, operational semantics, logic programming,...