His framework challenged conventional transformational grammar by advocating for a lexicon-centered approach and emphasizing the connections between words and phrases.
Additionally, Brame collaborated with his wife on research investigating the identity of the author behind the name "William Shakespeare", resulting in several publications.
[1] That fall, Brame began a PhD program at the Massachusetts Institute of Technology, studying under Morris Halle and Noam Chomsky, who was his adviser.
By formalizing word connections, algebraic syntax aims to better understand syntax and simplify traditional theories of grammar, stressing the recursive nature of language and the hierarchical arrangement of linguistic elements, as reflected in Brame's assertions that "the lexicon must be elaborated"[6] and "deep structure falls along with the classical transformations once the lexicon is taken seriously.
As Brame emphasized, this approach relies on a non-associative groupoid structure with inverses to represent the interactions of lexical items (words and phrases), or lexes for short.