This volume contains the proceedings of theSecondInternationalConferenceon MathematicalKnowledgeManagement (MKM 2003), held 16-18 February 2003 in Bertinoro, Italy. Mathematical Knowledge Management is an exciting new eld at the int- section between mathematics and computer science. We need e?cient, new te- niques, based on sophisticated formal mathematics and software technology, to exploit the enormous knowledge available in current mathematical sources and to organize mathematical knowledge in a new way. On the other side, due to its verynature,...

All traditional implementation techniques for functional languages fail to avoid useless repetition of work. They are not "optimal" in their implementation of sharing, often causing a catastrophic, exponential explosion in reduction time. Optimal reduction is an innovative graph reduction technique for functional expressions, introduced by Lamping in 1990, that solves the sharing problem. This work, the first on the subject, is a comprehensive account by two of its leading exponents. Practical implementation aspects are fully covered as are the mathematical underpinnings of the subject. The...