This paper presents a formal mathematical model of Classical Arabic's non-concatenative morphology, challenging the Saussurean axiom of the arbitrary sign. The authors introduce a Morphological Correspondence Theorem, showing unique generation of lexical items from root-pattern pairs, and a Semantic Localization Theorem, proving meaning is determined at the derivational level. They further formalize Saussurean arbitrariness using Kolmogorov complexity, demonstrating that while general arbitrariness is undecidable, Arabic's relative arbitrariness is decidable and significantly lower than in Indo-European languages. AI
RANK_REASON The cluster contains a single academic paper published on arXiv. [lever_c_demoted from research: ic=1 ai=0.4]
- arXiv
- Classical Arabic
- Hugging Face
- Kolmogorov complexity
- Morphological Correspondence Theorem
- Semantic Localization Theorem
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