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261 papers

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Jun 10, 2026 · cs.CLJ/K move · Enter open · S save

Measuring language complexity from hierarchical reuse of recurring patterns

Junyi Zhou, Rui Liu, Pengyu Liu, Yu Liu

Department of Systems Science, Faculty of Arts and Sciences · 2International Academic Center of Complex Systems · School of Systems Science, Beijing Normal University, Beijing 100875, China. · Department of Chinese Language and Literature, Faculty of Arts and Sciences · Center for Linguistic Sciences, Beijing Normal University, Zhuhai 519087, Guangdong, China.

We introduce the ladderpath index as a measure of language complexity grounded in algorithmic information theory. It counts the minimum steps needed to reconstruct a sequence through hierarchical reuse of repeated substructures, capturing an exactly computable but constrained form of algorithmic compressibility related to, but distinct from, Kolmogorov complexity. We apply the ladderpath approach to 21 parallel corpora from the Parallel Universal Dependencies dataset. The ladderpath index is approximately invariant across the languages, and varies much less than the corpus length. This is more pronounced when all corpora are mapped to a unified binary representation, providing evidence for the equi-complexity hypothesis from a representation-independent perspective. We also observe trade-offs between character inventory size and corpus length, and between vocabulary-level and corpus-level reconstruction complexity, supporting the trade-off hypothesis that total complexity is conserved and redistributed across linguistic levels. The reusable substructures identified by the ladderpath approach, without any linguistic input, overlap with words and morphological components attested in the natural vocabulary. The hierarchical reuse captured by the ladderpath approach parallels the chunking mechanisms proposed in cognitive science, where the human cognitive system compresses linguistic input into nested, reusable units under shared memory and processing constraints. This connection between cognitive chunking and the ladderpath approach provides a new interpretation for the equi-complexity and trade-off hypotheses, grounding both in the shared cognitive architecture that underlies language processing across human languages.

Model Complexity Ladder Linguistics English Text Corpora Hierarchical Reuse

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