The paper shows that syntactic heads, phases, and constraints like EPP and PIC can be expressed as a colored operad bud generating system, equivalent to a colored Merge filtering process.
Chomsky, Problems of projection, Lingua, Vol.130 (2013) 33-49
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Hypermagmas and Colored Operads: Heads, Phases, and Theta Roles
The paper shows that syntactic heads, phases, and constraints like EPP and PIC can be expressed as a colored operad bud generating system, equivalent to a colored Merge filtering process.