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021 - Computer Environments for Mathematical Research: a project report

Abstract

This paper reviews principles and software prototypes developed over the last three years in connection with the design and implementation of computer environments such as might support mathematical research in the Automatic Groups Project. It takes the form of a summary of the principal theoretical ideas developed together with an account of the current status of their practical implementation. An illustrative example, as yet - unimplemented, but similar to examples that have been defined using existing software prototypes, is included. Major practical contributions to this research programme have been made (not directly under the auspices of the project) by two postgraduate research students in Computer Science: Messrs Yun Wai and Yun Pui Yung; seminal ideas have also been developed in collaboration with Mr Alan Cartwright, Dept of Engineering, and Dr Steve Russ, Dept of Computer Science.

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