New methodological aspects related to design and implementation of
symbolic computation systems are considered in this volume aiming 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 à la 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 implementation issues, and reasoning
capabilities supported by the whole framework are described.