Dan Richardson
ABSTRACT
A solution for a version of the identify problem is proposed for a class of functions including the elementary functions. Given f(x), g(x), defined at some point β we decide whether or not f(x) = g(x) in some neighbourhood of β. This problem is first reduced to a problem about zero equivalence of elementary constants. Then a semi algorithm is given to solve the elementary constant problem. This semi algorithm is guaranteed to give the correct answer whenever it terminates, and it terminates unless the problem being considered contains a counterexample to Schanuel's conjecture.
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Index Terms
- The identity problem for elementary functions and constants
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