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ABSTRACT
This paper reports on a work in progress aiming at designing and implementing a system for representing and manipulating mathematical knowledge. Its kernel is a computer algebra system but it shows several of the features of the so-called knowledge-based systems. The main issues considered here are the software engineering aspects of the project, the definition of a new language to support the system and the use of AI techniques in a field where algebraic algorithms are the building stones of systems. This defines an environment which enables not only to have data-bases of knowledge but also to implement an expert use of this knowledge.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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1
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S. K. Abdali , Guy W. Cherry , Neil Soiffer, An object-oriented approach to algebra system design, Proceedings of the fifth ACM symposium on Symbolic and algebraic computation, p.24-30, July 21-23, 1986, Waterloo, Ontario, Canada
[doi> 10.1145/32439.32444]
|
| |
2
|
|
| |
3
|
(Ber83) Bert D. 1983, <i>Refinement of Generic Specifications with Algebraic Tools</i>, Proc. IFIP 83, R. E. Mason Ed.
|
| |
4
|
|
| |
5
|
|
| |
6
|
|
| |
7
|
(BDH 86) Bachmair L., Dershowitz, N., Hsiang J., 1986 <i>Ordering for equational proofs</i> IEEE Symposium on Logic in Computer Science.
|
| |
8
|
|
| |
9
|
|
| |
10
|
(Com85) Comon H., <i>Généricité en Calcul Formel: Théorie et Application</i>, Rapport de D. E. A., INPG, 1985.
|
| |
11
|
|
| |
12
|
(CoLu87) Comon H., Lugiez D., <i>Type Inference in Computer Algebra using Term Rewriting Systems and Sub-typing relation</i>, submitted, LIFIA Report.
|
| |
13
|
|
| |
14
|
(DeMy86) Delgrande J. P., Mylopoulos J., <i>Knowledge Representation: Features of Knowledge</i>, Fundamentals in Man-Machine Communication: Speech, Vision and Natural Language, Jean Paul Haton (Ed.) 1986.
|
| |
15
|
(Dit 85) Dittemberger, K., 1985, <i>Hensel Codes</i>, Diplomarbeit, University of Linz, Austria.
|
| |
16
|
|
 |
17
|
Kokichi Futatsugi , Joseph A. Goguen , Jean-Pierre Jouannaud , José Meseguer, Principles of OBJ2, Proceedings of the 12th ACM SIGACT-SIGPLAN symposium on Principles of programming languages, p.52-66, January 14-16, 1985, New Orleans, Louisiana, United States
[doi> 10.1145/318593.318610]
|
| |
18
|
|
| |
19
|
|
| |
20
|
(HuHu82) Huet G., Hullot J. M. <i>Proof by Induction in Equational Theory with Constructors</i>, JCSS 25, 2, 1982.
|
| |
21
|
|
 |
22
|
|
| |
23
|
(JoKo86) Jouannaud J. P., Kounalis E., <i>Proof by induction in Equational theory Without Constructors</i>, Proc of IEEE Conf on Logic in Computer Science, Cambridge MA, 1986.
|
| |
24
|
|
| |
25
|
|
 |
26
|
|
| |
27
|
(Mil78) Milner R. <i>A theory of Type Polymorphism in Programming</i>, JCSS 17 pp348--375 1978.
|
| |
28
|
(MaLe84) Michalski R. S., Carbonell J. G., Mitchell T. M., <i>Machine Learning</i> Springer Verlag Editor 1984.
|
| |
29
|
(ML85) <i>The ML Handbook</i>, version 6.1, INRIA report 1985.
|
 |
30
|
|
 |
31
|
|
| |
32
|
(Pet85) Petschenik N. H., 1985, <i>Practical Priority in System Testing</i>, IEEE Software, sept 85, Vol 2 n5, p18--23.
|
| |
33
|
(Sch83) Schooman, M. L., 1983, <i>Software Engineering</i>, Mac Graw Hill, Computer Sciences Series, New York.
|
|