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» Integrating Computer Algebra into Proof Planning
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JAR
1998
134views more  JAR 1998»
13 years 4 months ago
Integrating Computer Algebra into Proof Planning
Mechanized reasoning systems and computer algebra systems have different objectives. Their integration is highly desirable, since formal proofs often involve both of the two differ...
Manfred Kerber, Michael Kohlhase, Volker Sorge
FROCOS
2000
Springer
13 years 8 months ago
Non-Trivial Symbolic Computations in Proof Planning
Abstract. We discuss a pragmatic approach to integrate computer algebra into proof planning. It is based on the idea to separate computation and veri cation and can thereby exploit...
Volker Sorge
AAECC
2002
Springer
116views Algorithms» more  AAECC 2002»
13 years 4 months ago
A Computer Proof of a Series Evaluation in Terms of Harmonic Numbers
A fruitful interaction between a new randomized WZ procedure and other computer algebra programs is illustrated by the computer proof of a series evaluation that originates from a ...
Russell Lyons, Peter Paule, Axel Riese
AISC
1998
Springer
13 years 9 months ago
Reasoning About Coding Theory: The Benefits We Get from Computer Algebra
The use of computer algebra is usually considered beneficial for mechanised reasoning in mathematical domains. We present a case study, in the application domain of coding theory, ...
Clemens Ballarin, Lawrence C. Paulson
CADE
2003
Springer
14 years 5 months ago
Certifying Solutions to Permutation Group Problems
We describe the integration of permutation group algorithms with proof planning. We consider eight basic questions arising in computational permutation group theory, for which our ...
Arjeh M. Cohen, Scott H. Murray, Martin Pollet, Vo...