Advances in the Design of Symbolic Computation Systems

This volume considers new methodological aspects related to design and implementation of symbolic computation systems. It aims at integrating such aspects into a homogeneous software environment for scientific computation. The proposed methodology is based on a combination of different techniques: algebraic specification through modular approach and completion algorithms, approximated and exact algebraic computing methods, object-oriented programming paradigm, automated theorem proving through methods based on Hilbert and methods of natural deduction. In particular, the proposed treatment of mathematical objects, via techniques for method abstraction, structures classification, and exact representation, the programming methodology which supports the design and impelementation issues, and reasoning capabilities supported by the whole framework are described.