arXiv — NLP / Computation & Language · · 3 min read

Neuro-symbolic Syntactic Parsing: Shaping a Neural Network with the CYK Algorithm

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Computer Science > Computation and Language

arXiv:2605.31421 (cs)
[Submitted on 29 May 2026]

Title:Neuro-symbolic Syntactic Parsing: Shaping a Neural Network with the CYK Algorithm

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Abstract:In this paper, we show the possibility of a direct injection of algorithms into neural network architecture. We focus on a complex algorithm, that is, Cocke-Youger-Kasami (CYK) for parsing context-free grammars in Chomsky Normal Form and we propose CYKNN, a simple recurrent neural network architecture for encoding the CYK algorithm in trainable matrix-vector this http URL experimented with a very simple grammar with 4 variations showing that our approach outperforms existing LLMs with more than 20B parameters with an in-context learning setting and smaller LLMs of the Qwen family fine-tuned with LoRA. Our attempt paves the way to a different approach to neuro-symbolic methodologies.
Comments: 9 content pages
Subjects: Computation and Language (cs.CL); Artificial Intelligence (cs.AI); Data Structures and Algorithms (cs.DS)
Cite as: arXiv:2605.31421 [cs.CL]
  (or arXiv:2605.31421v1 [cs.CL] for this version)
  https://doi.org/10.48550/arXiv.2605.31421
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Fabio Massimo Zanzotto [view email]
[v1] Fri, 29 May 2026 15:21:11 UTC (969 KB)
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