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Simplification of algebraic expression by multiterm rewriting rules
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Source Symposium on Symbolic and Algebraic Manipulation archive
Proceedings of the fifth ACM symposium on Symbolic and algebraic computation table of contents
Waterloo, Ontario, Canada
Pages: 115 - 120  
Year of Publication: 1986
ISBN:0-89791-199-7
Author
Tateaki Sasaki  Institute of Physical and Chemical Research, Saitama, Japan
Sponsor
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
Publisher
ACM  New York, NY, USA
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ABSTRACT

In simplifying an algebraic expression, human often applies multiterm rewriting rules cleverly. This paper describes a simple multiterm rewriting algorithm which simulates human simplification naively. The algorithm is simple but seems to be quite useful for many applications.


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.

 
Brenn84
Brenner R.L., "Simplifying large algebraic expressions by computer," Proc. of {984 MACSYMA User's Conf., General Electric, 1984, pp. 50-107.
 
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Brown W.S., "Rational Exponential Expressions and a conjecture concerning ~r and e," Amer. Math. Monthly 76, pp. 28-34 (1969).
 
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Buchberger B., "Ein Algorithmus zmn Auffinden der Basiselemente des Restkiassenringes nach einem nuIldimensionalen Polynomideal," University of Innsbruck, 1965.
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Hearn84
Hearn, A.C., "Structure: The key to improved algebraic computation," Proc. of RSYMSAC, Riken, Japan, 1984.
 
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The MATHLAB Group, "MACSYMA Reference Manual," 9th version, Lab. Comp. Sci., MIT, 1977.
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Hearn A.C., "REDUCE User's Manual," version 3.0, The Rand Corporation, 1983.
 
SMP81
Cole C.A., Wolfram S., et al., "SMP Handbook," version 1, Cal. Inst. Technol., 1981.
 
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Stoutemyer D.R., "sin(x)**2 + cos(x)**2 = 1," Proc. of 1977 MACSYMA User's Conf., NASA CP-2012, 1977, pp. 425-433.
 
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