3 papers
cs.CL2025
Extension Condition "violations" and Merge optimality constraints
Matilde Marcolli, Richard Larson, Riny Huijbregts
We analyze, using the mathematical formulation of Merge within the Strong Minimalist Thesis framework, a set of linguistic phenomena, including head-to-head movement, phrasal affix…
cs.CL2025
Hypermagmas and Colored Operads: Heads, Phases, and Theta Roles
Matilde Marcolli, Riny Huijbregts, Richard K. Larson
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 relat…
cs.CL2025
Theta Theory: operads and coloring
Matilde Marcolli, Richard K. Larson
We give an explicit construction of the generating set of a colored operad that implements theta theory in the mathematical model of Minimalism in generative linguistics, in the fo…