Structured Decomposition for LLM Reasoning: Cross-Domain Validation and Semantic Web Integration
- URL: http://arxiv.org/abs/2601.01609v1
- Date: Sun, 04 Jan 2026 17:19:20 GMT
- Title: Structured Decomposition for LLM Reasoning: Cross-Domain Validation and Semantic Web Integration
- Authors: Albert Sadowski, Jarosław A. Chudziak,
- Abstract summary: Rule-based reasoning arises in domains where decisions must be auditable and justifiable.<n>Applying rules to such inputs demands both interpretive flexibility and formal guarantees.<n>This paper presents an integration pattern that combines these strengths.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Rule-based reasoning over natural language input arises in domains where decisions must be auditable and justifiable: clinical protocols specify eligibility criteria in prose, evidence rules define admissibility through textual conditions, and scientific standards dictate methodological requirements. Applying rules to such inputs demands both interpretive flexibility and formal guarantees. Large language models (LLMs) provide flexibility but cannot ensure consistent rule application; symbolic systems provide guarantees but require structured input. This paper presents an integration pattern that combines these strengths: LLMs serve as ontology population engines, translating unstructured text into ABox assertions according to expert-authored TBox specifications, while SWRL-based reasoners apply rules with deterministic guarantees. The framework decomposes reasoning into entity identification, assertion extraction, and symbolic verification, with task definitions grounded in OWL 2 ontologies. Experiments across three domains (legal hearsay determination, scientific method-task application, clinical trial eligibility) and eleven language models validate the approach. Structured decomposition achieves statistically significant improvements over few-shot prompting in aggregate, with gains observed across all three domains. An ablation study confirms that symbolic verification provides substantial benefit beyond structured prompting alone. The populated ABox integrates with standard semantic web tooling for inspection and querying, positioning the framework for richer inference patterns that simpler formalisms cannot express.
Related papers
- VERGE: Formal Refinement and Guidance Engine for Verifiable LLM Reasoning [4.3414302048068745]
We present a neurosymbolic framework that combines Large Language Models with SMT solvers to produce verification-guided answers.<n>We introduce three key innovations: (1) multi-model consensus via formal semantic equivalence checking, (2) semantic routing that directs different claim types to appropriate verification strategies, and (3) precise logical error localization via Minimal Correction Subsets.<n>With the GPT-OSS-120B model, VERGE demonstrates an average performance uplift of 18.7% at convergence across a set of reasoning benchmarks compared to single-pass approaches.
arXiv Detail & Related papers (2026-01-27T20:59:11Z) - Doc2AHP: Inferring Structured Multi-Criteria Decision Models via Semantic Trees with LLMs [7.026862437055361]
We propose Doc2AHP, a novel structured inference framework guided by AHP principles.<n>We introduce a multi-agent weighting mechanism coupled with an adaptive consistency optimization strategy to ensure the numerical consistency of weight allocation.<n> Empirical results demonstrate that Doc2AHP not only empowers non-expert users to construct high-quality decision models from scratch but also significantly outperforms direct generative baselines in both logical completeness and downstream task accuracy.
arXiv Detail & Related papers (2026-01-23T06:20:23Z) - SciIF: Benchmarking Scientific Instruction Following Towards Rigorous Scientific Intelligence [60.202862987441684]
We introduce scientific instruction following: the capability to solve problems while strictly adhering to the constraints that establish scientific validity.<n>Specifically, we introduce SciIF, a multi-discipline benchmark that evaluates this capability by pairing university-level problems with a fixed catalog of constraints.<n>By measuring both solution correctness and multi-constraint adherence, SciIF enables finegrained diagnosis of compositional reasoning failures.
arXiv Detail & Related papers (2026-01-08T09:45:58Z) - Bridging Natural Language and Formal Specification--Automated Translation of Software Requirements to LTL via Hierarchical Semantics Decomposition Using LLMs [10.958536923155101]
Req2LTL is a modular framework that bridges NL and Linear Temporal Logic.<n>It achieves 88.4% semantic accuracy and 100% syntactic correctness on real-world aerospace requirements.
arXiv Detail & Related papers (2025-12-19T08:25:54Z) - KBQA-R1: Reinforcing Large Language Models for Knowledge Base Question Answering [64.62317305868264]
We present textbfKBQA-R1, a framework that shifts the paradigm from text imitation to interaction optimization via Reinforcement Learning.<n>Treating KBQA as a multi-turn decision process, our model learns to navigate the knowledge base using a list of actions.<n>Experiments on WebQSP, GrailQA, and GraphQuestions demonstrate that KBQA-R1 achieves state-of-the-art performance.
arXiv Detail & Related papers (2025-12-10T17:45:42Z) - BRIDGE: Building Representations In Domain Guided Program Verification [67.36686119518441]
BRIDGE decomposes verification into three interconnected domains: Code, Specifications, and Proofs.<n>We show that this approach substantially improves both accuracy and efficiency beyond standard error feedback methods.
arXiv Detail & Related papers (2025-11-26T06:39:19Z) - Implicit Reasoning in Large Language Models: A Comprehensive Survey [67.53966514728383]
Large Language Models (LLMs) have demonstrated strong generalization across a wide range of tasks.<n>Recent studies have shifted attention from explicit chain-of-thought prompting toward implicit reasoning.<n>This survey introduces a taxonomy centered on execution paradigms, shifting the focus from representational forms to computational strategies.
arXiv Detail & Related papers (2025-09-02T14:16:02Z) - Explainable Rule Application via Structured Prompting: A Neural-Symbolic Approach [0.0]
Large Language Models (LLMs) excel in complex reasoning tasks but struggle with consistent rule application, exception handling, and explainability.<n>This paper introduces a structured prompting framework that decomposes reasoning into three verifiable steps: entity identification, property extraction, and symbolic rule application.
arXiv Detail & Related papers (2025-06-19T14:14:01Z) - CLATTER: Comprehensive Entailment Reasoning for Hallucination Detection [60.98964268961243]
We propose that guiding models to perform a systematic and comprehensive reasoning process allows models to execute much finer-grained and accurate entailment decisions.<n>We define a 3-step reasoning process, consisting of (i) claim decomposition, (ii) sub-claim attribution and entailment classification, and (iii) aggregated classification, showing that such guided reasoning indeed yields improved hallucination detection.
arXiv Detail & Related papers (2025-06-05T17:02:52Z) - Elevating Legal LLM Responses: Harnessing Trainable Logical Structures and Semantic Knowledge with Legal Reasoning [19.477062052536887]
We propose the Logical-Semantic Integration Model (LSIM), a supervised framework that bridges semantic and logical coherence.<n>LSIM comprises three components: reinforcement learning predicts a structured fact-rule chain for each question, a trainable Deep Structured Semantic Model (DSSM) retrieves the most relevant candidate questions and in-answer learning generates the final answer.<n>Our experiments on a real-world legal dataset QA-validated through both automated metrics and human evaluation-demonstrate that LSIM significantly enhances accuracy and reliability compared to existing methods.
arXiv Detail & Related papers (2025-02-11T19:33:07Z) - Proof of Thought : Neurosymbolic Program Synthesis allows Robust and Interpretable Reasoning [1.3003982724617653]
Large Language Models (LLMs) have revolutionized natural language processing, yet they struggle with inconsistent reasoning.
This research introduces Proof of Thought, a framework that enhances the reliability and transparency of LLM outputs.
Key contributions include a robust type system with sort management for enhanced logical integrity, explicit representation of rules for clear distinction between factual and inferential knowledge.
arXiv Detail & Related papers (2024-09-25T18:35:45Z) - Unified Language-driven Zero-shot Domain Adaptation [55.64088594551629]
Unified Language-driven Zero-shot Domain Adaptation (ULDA) is a novel task setting.
It enables a single model to adapt to diverse target domains without explicit domain-ID knowledge.
arXiv Detail & Related papers (2024-04-10T16:44:11Z) - An Encoding of Abstract Dialectical Frameworks into Higher-Order Logic [57.24311218570012]
This approach allows for the computer-assisted analysis of abstract dialectical frameworks.
Exemplary applications include the formal analysis and verification of meta-theoretical properties.
arXiv Detail & Related papers (2023-12-08T09:32:26Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.