用彩色操作数统一建模语法结构与语义角色关系
Hypermagmas and Colored Operads: Heads, Phases, and Theta Roles
- 用超代数和彩色操作数描述头词与补足语的组合机制
- 相位结构与格角色分配可统一为彩色操作数生成系统
- 适用于形式语法研究者，尤其关注句法-语义接口
我们证明，句法对象上的头函数将代数结构扩展为超代数，且支配关系与代数运算相容，命令关系与超代数相容。进一步表明，头-补足语、限定语、附加成分及扩展投射中的相位结构，可表述为彩色操作数的芽生成系统，形式上类似于格角色结构。由于彩色操作数生成元具有特殊形式，由着色规则过滤自由生成的句法对象，等价于通过彩色合并过程在结构形成中进行过滤，进而与超代数结构相关联。内部合并对相位的移动规则、扩展投射原则、空范畴原则及相位不可渗透性条件，均可纳入彩色操作数生成元的形式中。相位结构与格角色分配之间的移动兼容性，可通过彩色操作数及其传递映射来表述。
原文摘要 · Abstract (English)
We show that head functions on syntactic objects extend the magma structure to a hypermagma, with the c-command relation compatible with the magma operation and the m-command relation with the hypermagma. We then show that the structure of head and complement and specifier, additional modifier positions, and the structure of phases in the Extended Projection can be formulated as a bud generating system of a colored operad, in a form similar to the structure of theta roles. We also show that, due to the special form of the colored operad generators, the filtering of freely generated syntactic objects by these coloring rules can be equivalently formulated as a filtering in the course of structure formation via a colored Merge, which can in turn be related to the hypermagma structure. The rules on movement by Internal Merge with respect to phases, the Extended Projection Principle, Empty Category Principle, and Phase Impenetrability Condition are all subsumed into the form of the colored operad generators. Movement compatibilities between the phase structure and the theta roles assignments can then be formulated in terms of the respective colored operads and a transduction of colored operads.
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