Challenge: Large Language Models (LLMs) are primarily trained on high-resource natural languages, limiting their effectiveness in low-resourced settings and in tasks requiring deep logical reasoning.
Approach: They propose to use a dataset of logical propositions from Lean into a custom logical language to evaluate LLMs' logical reasoning and generalization capabilities in a controlled environment.
Outcome: The proposed model improves accuracy and accuracy beyond 20,000 training samples.

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Exploring Self-supervised Logic-enhanced Training for Large Language Models (2024.naacl-long)

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Challenge: Traditional attempts to enhance the logical reasoning abilities of language models often rely on supervised fine-tuning, limiting their generalization to new tasks or domains.
Approach: They propose a framework for integrating logical reasoning capabilities into LLMs and activating them via in-context learning.
Outcome: The proposed framework achieves comparable results to existing models on three language understanding benchmarks.
LogicBench: Towards Systematic Evaluation of Logical Reasoning Ability of Large Language Models (2024.acl-long)

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Challenge: Existing work investigating the logical reasoning ability of large language models has focused only on a couple of inference rules of propositional and first-order logics.
Approach: They propose to use a natural language question-answering dataset to evaluate the logical reasoning ability of large language models.
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LogicAsker: Evaluating and Improving the Logical Reasoning Ability of Large Language Models (2024.emnlp-main)

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Challenge: LogicAsker examines and improves the reasoning abilities of large language models such as ChatGPT and GPT-4.
Approach: They propose a set of atomic reasoning skills grounded in propositional and predicate logic to examine and improve the reasoning abilities of large language models such as ChatGPT and GPT-4.
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Harnessing the Power of Large Language Models for Natural Language to First-Order Logic Translation (2024.acl-long)

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Challenge: Logic-based approaches to reasoning have lost popularity due to limited scalability and coverage.
Approach: They present a dataset of 28K sentence-level NL-FOL pairs from GPT4 and a LogicLLaMA2-7B/13B fine-tuned on MALLS for NL translation.
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Do Large Language Models excel in Complex Logical Reasoning with Formal Language? (2025.emnlp-main)

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Challenge: Existing studies on LLMs have focused on formal language, but evaluations of their performance are limited.
Approach: They propose to use a formal language to evaluate LLMs across logical reasoning problems using formal languages.
Outcome: The proposed model outperforms Instruct models in three dimensions, taxonomy of tasks, and format of trajectories, and achieves the best generalization performance across other languages.
GroundCocoa: A Benchmark for Evaluating Compositional & Conditional Reasoning in Language Models (2025.naacl-long)

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Challenge: Existing LLMs excel and often surpass human performance on benchmarks, but they are known to falter in simple tasks and under seemingly straightforward circumstances.
Approach: They propose a benchmark to assess compositional and conditional reasoning within a flight booking task.
Outcome: The proposed model outperforms existing models on the flight booking task with a 67% accuracy rate.
Reason from Fallacy: Enhancing Large Language Models’ Logical Reasoning through Logical Fallacy Understanding (2024.findings-naacl)

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Challenge: Large Language Models (LLMs) have demonstrated good performance in many reasoning tasks, but struggle with some more complex reasoning tasks including logical reasoning.
Approach: They propose five concrete tasks from three cognitive dimensions of WHAT, WHY, and HOW to evaluate LLMs’ capability of logical fallacy understanding.
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LLM-Powered Benchmark Factory: Reliable, Generic, and Efficient (2026.acl-long)

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Challenge: Using generic and efficient benchmark generators, human annotators are limited by inefficiency . current benchmark generator methods rely on seed signals, leading to long cycles and high costs .
Approach: They propose a framework to evaluate LLMs as generic benchmark generators and integrate them as BenchMaker.
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Reasoning in a Combinatorial and Constrained World: Benchmarking LLMs on Natural-Language Combinatorial Optimization (2026.findings-acl)

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Challenge: NLCO evaluates large language models for combinatorial optimization (CO) . existing evaluations emphasize relatively simple reasoning competencies .
Approach: They propose a combinatorial optimization benchmark that evaluates large language models on CO reasoning.
Outcome: The proposed model can handle combinatorial optimization without writing code or calling external solvers.
BenNumEval: A Benchmark to Assess LLMs’ Numerical Reasoning Capabilities in Bengali (2025.findings-acl)

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Challenge: Large Language Models (LLMs) excel in general-purpose tasks but struggle with numerical reasoning, especially in low-resource languages like Bengali.
Approach: They propose a benchmark to assess LLMs on numerical reasoning tasks in Bengali.
Outcome: The proposed benchmark assesses LLMs on numerical reasoning tasks in Bengali.

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