Challenge: Large Language Models (LLMs) have shown remarkable proficiency in complex tasks where reasoning capabilities are paramount.
Approach: They propose a framework to break down claims into atomic reasoning types needed for verification.
Outcome: The proposed framework breaks down claims into atomic reasoning types needed for verification.

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Claim Verification in the Age of Large Language Models: A Survey (2026.acl-srw)

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Challenge: Recent election cycles have seen a large number of false information spread across social media and news platforms.
Approach: They propose a framework for automated claim verification using Large Language Models and Retrieval Augmented Generation.
Outcome: The proposed frameworks are based on large-scale models and new methods such as Retrieval Augmented Generation (RAG).
A Closer Look at the Self-Verification Abilities of Large Language Models in Logical Reasoning (2024.naacl-long)

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Challenge: Existing models of large language models struggle with complex logical reasoning problems.
Approach: They propose to use large language models to identify their own errors to improve their models' performance.
Outcome: The proposed models can identify logical fallacies accurately and improve by themselves.
Neuro-Symbolic Integration Brings Causal and Reliable Reasoning Proofs (2025.findings-naacl)

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Challenge: a new framework for complex reasoning with LLMs is developed to improve reasoning proof accuracy and interpretability.
Approach: They propose to use LLMs to generate search logs that can be interpreted into human-readable reasoning proofs.
Outcome: The proposed framework improves reasoning accuracy but lacks interpretability due to black-box nature of the solvers.
Towards Reasoning in Large Language Models: A Survey (2023.findings-acl)

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Challenge: Reasoning is a fundamental aspect of human intelligence that plays a crucial role in many intellectual activities.
Approach: They propose to improve LLMs' ability to elicit reasoning by providing exemplars or prompts to model reasoning.
Outcome: This paper provides a comprehensive overview of the state of knowledge on reasoning in large language models.
Towards Effective Extraction and Evaluation of Factual Claims (2025.acl-long)

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Challenge: Lack of a standardized evaluation framework impedes assessment and comparison of claim extraction methods.
Approach: They propose a framework for evaluating claim extraction in the context of fact-checking . they also introduce Claimify, an LLM-based claim extraction method .
Outcome: The proposed evaluation framework outperforms existing methods in the evaluation of claim extraction methods.
A Comprehensive Evaluation of Inductive Reasoning Capabilities and Problem Solving in Large Language Models (2024.findings-eacl)

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Challenge: Inductive reasoning is fundamental to both human and artificial intelligence.
Approach: They evaluated the inductive reasoning abilities of current Large Language Models (LLMs) and their performance on symbolic tasks.
Outcome: The proposed models fail on symbolic tasks and show that chain-of-thought prompts help them by decomposing the problem-solving process, but the LLMs learn limitedly.
Explainable Claim Verification via Knowledge-Grounded Reasoning with Large Language Models (2023.findings-emnlp)

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Challenge: Existing claims verification models rely on annotated data, which is expensive to create at a large scale.
Approach: They propose a model that can verify complex claims without annotated data . they leverage the in-context learning ability of Large Language Models to translate a claim into a First-Order-Logic clause .
Outcome: The proposed model outperforms baseline models on three datasets . it performs well on the datasets, and the results are published online.
Stress-Testing the Reasoning Competence of Language Models With Formal Proofs (2025.findings-emnlp)

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Challenge: a new battery of challenging but tractable logical inference tasks is developed on ProofGrid . the tasks include proof writing and proof checking across propositional and equational logic .
Approach: They propose a new battery of challenging but tractable logical inference tasks on ProofGrid . they introduce two new tasks: proof inpainting and proof gap-filling .
Outcome: The proposed model performs well on top-tier models but also shows systematic failure modes.
CriticBench: Benchmarking LLMs for Critique-Correct Reasoning (2024.findings-acl)

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Challenge: CriticBench is a benchmark designed to assess LLMs’ abilities to critique and refine their reasoning across a variety of tasks.
Approach: They propose a benchmark to assess LLMs' ability to critique and correct reasoning across a variety of tasks.
Outcome: The proposed benchmark examines the performance of 17 large language models in generation, critique, and correction reasoning.
From Informal to Formal – Incorporating and Evaluating LLMs on Natural Language Requirements to Verifiable Formal Proofs (2025.acl-long)

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Challenge: Recent studies in formal mathematical reasoning have shown an unstoppable growth trend.
Approach: They constructed 18k high-quality instruction-response pairs across five mainstream formal specification languages and evaluated them against ten open-sourced LLMs.
Outcome: The proposed model compared instruction-response pairs across five formal specification languages and found that the LLMs were good at writing proof segments when given either the code, or the detailed description of proof steps.

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