Growth estimates for exp-log functions

  • Authors:
  • John Shackell

  • Affiliations:
  • Institute of Mathematics, University of Kent at Canterbury, Canterbury, Kent CT2 7NF, England

  • Venue:
  • Journal of Symbolic Computation
  • Year:
  • 1990

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Abstract

Exp-log functions are those obtained from the constant 1 and the variable X by means of arithmetic operations and the function symbols exp() and log@?. This paper gives an explicit algorithm for determining eventual dominance of these functions modulo an oracle for deciding zero equivalence of constant terms, This also provides another proof that the dominance problem for exp-log functions is Turing-reducible to the identity problem for constant terms.