Recursive categorical syntax

From Wikipedia, the free encyclopedia

You have new messages (last change).

This article or section is in need of attention from an expert on the subject.
WikiProject Linguistics or the Linguistics Portal may be able to help recruit one.
If a more appropriate WikiProject or portal exists, please adjust this template accordingly.

This article may require cleanup to meet Wikipedia's quality standards.
Please discuss this issue on the talk page or replace this tag with a more specific message.
This article has been tagged since February 2006.

Recursive categorical syntax is an algebraic theory of syntax developed by Michael Brame as an alternative to transformational-generative grammar. Brame formulated an algebra (technically a nonassociative groupoid with inverses) of lexical items (words and phrases), or lexes for short. A lex is a string representation of a word or phrase together with a string of directed types. A directed type is a symbol representing a syntactic type together with a direction (up, down, left, right) usually given by an arrow beside or above the symbol. In this article left and down arrows will be placed to the left and right and up arrows to the right of symbols.

Lexical composition of two lexes is performed by concatenating the phonetic or orthographic representations and composing the directed type strings. Thus [A, B] [C, D] = [AC, BD]. In our groupoid of directed type strings we define X→←X = X↑↓X = ←X↓X = X↑X→ = 1 for all X so that these strings "cancel."

With these definitions we can consider the subgroupoid generated by a lexicon of primitive lexes. For example, our lexicon might contain the words [We, ←SV→], [went, ←VN→], and [home, ←N], from which we can construct [We, ←SV→] [went, ←VN→] [home, ←N] = [We went home, ←S]. Given a correct lexicon to begin with, the theory of algebraic syntax claims that the grammatical sentences will be precisely those with directed type ←S.

[edit] References

  • Brame, Michael. "Universal Word Induction vs Move &alpha" in Linguistic Analysis, Vol. 14, No. 4, 1984.
  • Brame, Michael. "Recursive Categorical Syntax I: Semigroups, Monoids, Lattices, and Categories" in Linguistic Analysis, Vol. 14, No. 1.
  • Brame, Michael. "Recursive Categorical Syntax II: n-arity and Variable Continuation" in Linguistic Analysis, Vol. 15, No. 2-3, 1985.
  • Brame, Michael. "Recursive Categorical Syntax III: dl-Induction" in Linguistic Analysis.
Retrieved from "http://en.wikipedia.org../../../r/e/c/Recursive_categorical_syntax.html"