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On Canonical Forms and Simplification
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Volume 17 ,  Issue 2  (April 1970) table of contents
Pages: 385 - 396  
Year of Publication: 1970
ISSN:0004-5411
Author
B. F. Caviness  Department of Mathematics, Duke University, Durham, N.C and Carnegie-Mellon University, Pitlsburgh, Pennsylvania
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 3,   Downloads (12 Months): 40,   Citation Count: 26
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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.

 
1
BROWN, P. J. Canonical forms and artificial languages. Mathematical Notes No. 19, Computation Center, U. of North Carolina, July 5, 1963.
 
2
BROWN, W. S. Rational exponential expressions and a conjecture concerning v and e. Amer. Math. Mon. 76 (1969), 28-34.
 
3
CAV~NESS, B .F . On canonical forms and simplification. Ph.D. DiNs., Carnegie-Mellon U., Pittsburgh, Pa., Aug. 1967.
 
4
DAVIS, MARTIN. Diophantine equations and recursively enumerable sets. In E. R. Caioniello (Ed.), Automata Theory, Academic Press, New York, 1966, pp. 146-152.
 
5
--. Extensions and corollaries of recent work on Hilbert's tenth problem. Ill. J. Math. 7 (1963), 246-250.
 
6
-- AND PUTNAM, HILARY. Reductions of Hilbert's tenth problem. J. Symbolic Logic 23 (1958), 183-187.
 
7
, , AND ROBINSON, JULIA. The decision problem for exponential diophantine equations. Ann. Math. 74 (1961), 425-436.
 
8
FENICHEL, R .R . An on-line system for algebraic manipulation. Ph.D. DiNs., Harvard U., Cambridge, Mass., 1966.
 
9
HILBERT, DAVID. Mathematische probleme. Bull. Amer. Math. Soc. 8 (1901-1902), 437- 479.
 
10
ITURRIAGA, R. Contributions to mechanical mathematics. Ph.D. DiNs., Carnegie-Mellon U., Pittsburgh, Pa., 1967.
 
11
MosEs, JOEL. Symbolic integration. Ph.D. DiNs., Massachusetts Inst. of Technology, Cambridge, Mass., Sept. 1967.
 
12
NIVEN, IVAN. Irrational Numbers. Wiley, New York, 1956. (Carus Mathematical Monographs, No. 11, Mathematical Ass. of Amer.)
13
 
14
, , AND STANDISH, W.A. A definition of Formula Algol. Computation Center, Carnegie-Mellon U., Pittsburgh, Pa., March 1966.
 
15
RICHARDSON, DANIEL. Some unsolvable problems involving elementary functions of a real variable. J. Symbolic Logic 33 (1968), 514-520.
 
16
A solution of the identity problem for integral exponential functions. Z. Math. Logik Grundlagen Math. (to appear).
 
17
ROVSSEAU, G. A decidable class of number theoretic equations. J. London Math. Soc. 4il (1966), 737-741.
 
18
SAMMET, J .E . An annotated descriptor-based bibliography on the use of computers for non-numerical mathematics. Comput. Rev. 7 (1966), B1-B31.
 
19
--. Modification No. 1 to an annotated descriptor-based bibliography on the use of computers for doing non-numerical mathematics. ACM SICSAM Bull., No. 5 (Dec. 1966), Appendix, pp. 1-19.
 
20
TOBEY, R. G., BOBROW, R. J., AND ZILLES, S.N. Automatic simplification in FORMAC. Proc. AFIPS 1965 Fall J o i n t Comput. Conf., Vol. 27, Pt. 1, pp. 37-53.

CITED BY  26