Challenge: Existing methods to parse natural language into structured logical expressions have limitations due to paucity of labeled data.
Approach: They propose a scoring model to automatically learn a model-based reward . they also propose introducing a Chinese-PL/FOL dataset to compensate for paucity of labeled data .
Outcome: The proposed model outperforms competitors on several datasets.

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Challenge: Existing approaches to parse natural language queries are limited by lack of labeled data and constrained decoding.
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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.
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Entailment-Preserving First-order Logic Representations in Natural Language Entailment (2025.acl-long)

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Challenge: First-order logic (FOL) is often used to represent logical entailment, but determining natural language (NL) enanglement using FOL remains a challenge.
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Interactive Semantic Parsing with Reinforcement Learning for Knowledge Graph Reasoning (2026.findings-acl)

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Challenge: Existing approaches to improve LLM reliability rely on factual hallucinations . Existing methods rely only on graph traversal, resulting in imprecise retrieval and heavy post-processing burdens.
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Enhancing Reinforcement Learning with Label-Sensitive Reward for Natural Language Understanding (2024.acl-long)

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Challenge: Recent advances in large language models (LLMs) have yielded remarkable performance, but objective mismatch issues hinder RLHF learning.
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Challenge: Existing formal proof assistants rely on instruction tuning and lack fine-grained structural and semantic alignment.
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NL2Logic: AST-Guided Translation of Natural Language into First-Order Logic with Large Language Models (2026.findings-eacl)

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Challenge: Structured reasoning approaches that parse first-order logic rules from natural language lack syntax control and semantic faithfulness.
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Few-Shot Natural Language to First-Order Logic Translation via Code Generation (2025.naacl-long)

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Challenge: Recent studies have focused on translation of natural language to first-order logical formula (NL-FOL) but these methods face challenges such as inconsistency between training and inference phases and data-intensive finetuning process.
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Summary Level Training of Sentence Rewriting for Abstractive Summarization (D19-54)

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Challenge: Existing models rely on sentence-level rewards or suboptimal labels to achieve summary-level ROUGE scores.
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Dual Inference for Improving Language Understanding and Generation (2020.findings-emnlp)

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Challenge: Existing studies have exploited the duality of the task pairs in machine translation and speech recognition.
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