A Logical Analysis of Autosegmental Approaches to Root-and-Pattern Morphology in Arabic

2026-06-25 · Source: Paper Index on ACL Anthology · Field: Technology & Digital — Artificial Intelligence & Machine Learning, Computational Linguistics · Depth: Expert, quick

Summary

A logical analysis of autosegmental approaches to Arabic root-and-pattern morphology re-evaluates the computational feasibility of left-to-right association. Traditional three-tier models, like McCarthy (1981), involve tiers for prosodic templates, consonantal roots, and affixes, with left-to-right association. However, Jardine (2017) demonstrated that this left-to-right association exceeds regular computation for autosegmental representations of arbitrary length, raising concerns about cognitive plausibility. This paper shows that for Arabic morphology, the inherent constraint of the consonantal root's finite length allows such autosegmental association to be definable not only with Monadic Second Order (MSO) logic but specifically with First Order logic. The research introduces a logical relational structure to formalize these three-tier autosegmental representations and defines a set of transductions that apply in parallel over these structures to produce well-formed root and affix associations.

Key takeaway

For research scientists developing computational models for Arabic morphology, this analysis highlights a critical insight: the finite length of consonantal roots significantly reduces the computational complexity of autosegmental association. You should consider how inherent linguistic constraints can simplify formal language models, potentially enabling more efficient and cognitively plausible computational grammars. This finding suggests re-evaluating existing assumptions about computational limits in specific linguistic contexts.

Key insights

Arabic's finite consonantal root length simplifies autosegmental morphology, making left-to-right association definable by First Order logic.

Principles

• Finite system constraints can simplify computation.
• Autosegmental representations are logically formalizable.
• Left-to-right association has computational limits.

Method

The method involves formalizing three-tier autosegmental representations using a logical relational structure and defining parallel transductions that apply over these structures to yield well-formed associations.

Topics

• Autosegmental Morphology
• Arabic Linguistics
• First Order Logic
• Monadic Second Order Logic
• Computational Linguistics
• Formal Language Theory

Best for: NLP Engineer, AI Scientist, Research Scientist

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Editorial summary, takeaway, and curation by AIssential. Original article published by Paper Index on ACL Anthology.