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 a 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.

This volume constitutes the proceedings of the International Symposium on Design and Implementation of Symbolic Computation Systems (DISCO '93), held in Gmunden, Austria, in September 1993. The growing importance of systems for symbolic computation has greatly influenced the decision of organizing this third conference in the series: DISCO '93 focuses mainly on the most innovative methodological and technological aspects of the design and implementation of hardware and software systems for symbolic and algebraic computation, automated reasoning, geometric modeling and computation, and automatic programming. The general objective of DISCO '93 is to present an up-to-date view of the field and to serve as a forum insymbolic computation for the scientific exchange among academic, industrial and user communities. Besides invited talks by Buchberger, Monagan, Omodeo and Hong, the volume contains 28 contributions, carefully selected by a highly competent international program committee from a total of 56 submissions.

The growing importance of the systems for symbolic computation has greatly influenced the decision of organizing DISCO '90 which is short for International Symposium on Design and Implementation of Symbolic Computation Systems. DISCO '90 focuses mainly on the most innovative methodological and technological aspects of hardware and software system design and implementation for Symbolic and Algebraic Computation, Automated Reasoning, Software Environments (Languages and User Interfaces), and Automatic Programming. In particular, it includes papers on the design and the development of significant running systems. The general objective of DISCO '90 is to present an up-to-date view of the field, while encouraging the scientific exchange among academic, industrial and user communities of the development of systems for symbolic computation.

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