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In this paper, we give decision criteria for normal binomial differencepolynomial ideals in the univariate difference polynomial ring F{y} to havefinite difference Groebner bases and an algorithm to compute the finitedifference Groebner bases if these criteria are satisfied. The novelty of thesecriteria lies in the fact that complicated properties about differencepolynomial ideals are reduced to elementary properties of univariatepolynomials in Z[x].

Criteria for Finite Difference Groebner Bases of Normal Binomial Difference Ideals