$π$-augmented pregroups and applications to linguistics
arXiv:2303.05160v11 citationsh-index: 2
Originality Synthesis-oriented
AI Analysis
This work addresses theoretical enhancements in algebraic linguistics for analyzing clitic pronouns, but it appears incremental as it builds on existing pregroup frameworks.
The paper introduces $\pi$-augmented pregroups, an algebraic structure that extends pregroups with a mapping for local precyclic permutations, and proves a normalization theorem for these structures while formalizing applications to clitic pronoun analysis in linguistics.
We enrich pregroups with a mapping which allows us to locally apply precyclic permutations to designated substrings. We prove a normalisation theorem for such algebraic structures and briefly formalise some known applications of pregroups to the analysis of clitic pronouns in certain natural languages.