Prof. Dr. R. Loos (auth.), Prof. Dr. Bruno Buchberger, Prof.'s Computer Algebra: Symbolic and Algebraic Computation PDF

By Prof. Dr. R. Loos (auth.), Prof. Dr. Bruno Buchberger, Prof. Dr. George Edwin Collins, Prof. Dr. Rüdiger Loos (eds.)

ISBN-10: 3211816844

ISBN-13: 9783211816844

ISBN-10: 3709134064

ISBN-13: 9783709134061

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AMS 139, 167 -IS9 (1969). [1\7] Robinson, 1. : A Machine-Oriented Logic Based on the Resolution Principle. 1. ACM 12, 23-41 (1965). [lIS] Robinson, 1. : Computational Logic: The Unification Computation. Machine Intelligence 6, 63 - 72. New York: Edinb. Univ. Press 1971. : Theory of Recursive Functions and Effective Computability. New York: McGrawHill 1967. [120] Rosen, B. : Tree-Manipulating Systems and Church-Rosser Theorems. 1. ACM 20/1, 160-187 (\973). : Algorithmic Aspects of Polynomial Residue Class Rings.

Oppen, D. : Equations and Rewrite Rules: A Survey. Techn. Rep. CSL-111, SRI International, Stanford, 1980. [59] Hullot, J. : A Catalogue of Canonical Term Rewriting Systems. Stanford: SRI International Tech. Rep. CSL-113, 1980. [60] Jenks, R. : A Pattern Compiler. SYMSAC 1976, 60-65. [61] Johnson, S. : On the Problem of Recognizing Zero. J. ACM 18/4,559-565 (1971). , Musser, D. , Stepanov, A. : Operators and Algebraic Structures. : General Electric Automation and Control Laboratory, Report 81CRD 114 (1981).

In the sequel, we admit only those E, which satisfy: variable set of b of a (for all (a,b)EE). The next definition is crucial. ~ variable set Defmition. e. p and q result from applying the rules (ab bd and (a2' b2) to a "most general match" of at and a2)' • Algebraic Simplification 31 In the above definition, the notions of a "most general common instance" and of "unifiable terms" have been used. Let s, t1> t2 be terms. tl is an instance of 12 iff tl = 0"(/2) for some substitution 0". s is a common instance of tl and t2 iff s is an instance of tl and t 2.

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Computer Algebra: Symbolic and Algebraic Computation by Prof. Dr. R. Loos (auth.), Prof. Dr. Bruno Buchberger, Prof. Dr. George Edwin Collins, Prof. Dr. Rüdiger Loos (eds.)

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