%0 Book Section
%B Mathematical Frameworks for Component Software: Models for Analysis and Synthesis
%D 2006
%T On the Semantics of Componentware: a Coalgebraic Perspective
%A Luis Soares Barbosa
%A M. Sun
%A B. Aichernig
%A Nuno Rodrigues
%E Jifeng He
%E Zhiming Liu
%I World Scientific
%P 69–117
%S Series on Component-Based Software Development
%X <p>In this chapter we present a coalgebraic semantics for components. Our semantics forms the basis for a family of operators for combining components. These operators together with their algebraic laws establish a calculus for software components. We present two applications  of  our semantics: a coalgebraic interpretation of UML diagrams and the design of a component repository.</p>