The syntactic Merge operation of the Minimalist Program in linguistics can be described mathematically in terms of Hopf algebras, with a formalism similar to the one arising in the physics of renormalization. This mathematical formulation of Merge has good descriptive power, as phenomena empirically observed in linguistics can be justified from simple mathematical arguments. It also provides a possible mathematical model for externalization and for the role of syntactic parameters.

翻译：语言学最简方案中的句法合并运算，可借助Hopf代数进行数学描述，其数学形式与重整化物理学中的形式体系相似。这种对合并运算的数学化表述具有强大的描述力，语言学中经验观察到的现象能够通过简单的数学论证得到合理解释。该理论还为语言的外化机制及句法参数的作用提供了可能的数学模型。