30th Annual Symposium on Foundations of Computer Science (1989)

Research Triangle Park, NC, USA

Oct. 30, 1989 to Nov. 1, 1989

ISBN: 0-8186-1982-1

pp: 314-319

S. Landau , Dept. of Math. Dept., Wesleyan Univ., Middletown, CT, USA

ABSTRACT

Radical simplification is a fundamental mathematical question, as well as an important part of symbolic computation systems. The general denesting problem had not been known to be decidable. Necessary and sufficient conditions for a radical alpha over a field k to be denested, as well as the first algorithm to decide whether the expression can be denested, are given. The algorithm computes an equivalent expression of minimum nesting depth. It has running time polynomial in the size of the splitting field of the minimal polynomial of alpha over k.

INDEX TERMS

minimal polynomial, radical simplification, nested radicals, decidable, equivalent expression, minimum nesting depth

CITATION

S. Landau, "Simplification of nested radicals,"

*30th Annual Symposium on Foundations of Computer Science(FOCS)*, Research Triangle Park, NC, USA, 1989, pp. 314-319.

doi:10.1109/SFCS.1989.63496

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