Bronstein's lazy Hermite reduction is a symbolic integration technique that reduces algebraic functions to integrands with only simple poles without the prior computation of an integral basis. We sharpen the lazy Hermite reduction by combining it with the polynomial reduction to solve the decomposition problem of algebraic functions. The sharpened reduction is then used to design a reduction-based telescoping algorithm for algebraic functions in two variables.

翻译：Bronstein的懒惰Hermite 减少热量是一种象征性的整合技术,它减少代数功能到仅使用简单杆而无需事先计算一个整体基础的成份的成份。我们通过将懒惰的Hermite 减少量与多元减少量相结合来解决代数功能的分解问题,从而将懒惰的Hermite 减少量加以精细化。 然后,用更精锐的减量法来设计一个基于减量的对两个变量的代数函数进行测算的算法。