Challenge: Pre-trained large language models struggle to perform logical reasoning reliably despite advances in scale and compositionality.
Approach: They propose a Differentiable Symbolic Reasoning framework that uses symbolic programming to improve LMs' logical reasoning abilities.
Outcome: The proposed framework outperforms competitive baselines when faced with systematic changes in sequence length.

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Logic-LM: Empowering Large Language Models with Symbolic Solvers for Faithful Logical Reasoning (2023.findings-emnlp)

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Challenge: Large Language Models (LLMs) have shown human-like reasoning abilities but struggle with complex logical problems.
Approach: They propose a framework which integrates large language models with symbolic solvers to improve logical problem-solving by combining them with a self-refinement module.
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Evaluating Step-by-Step Reasoning through Symbolic Verification (2024.findings-naacl)

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Challenge: Pre-trained language models (LMs) have shown remarkable reasoning performance using explanations or chain-of-thoughts (CoT)) for in-context learning.
Approach: They propose to use symbolic examples to iteratively reason over symbolic examples and to recover Prolog’s backward chaining algorithm to iterate over KBs.
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Abstract-level Deductive Reasoning for Pre-trained Language Models (2024.lrec-main)

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Challenge: Existing methods fine-tune PLMs using the validity label and instance-level reasoning proofs as supervision signals.
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Meta-Reasoning: Semantics-Symbol Deconstruction for Large Language Models (2024.findings-acl)

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Challenge: Existing methods rely on syntactically mapping natural languages to complete formal languages like Python and SQL.
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Logic-Thinker: Teaching Large Language Models to Think more Logically. (2025.findings-emnlp)

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Challenge: Recent Large Reasoning Models (LRMs) have demonstrated the ability to generate long chains of thought (LongCoT) LongCoT still faces challenges such as redundancy and logical incoherence.
Approach: They propose a neural-symbolic reasoning framework that generates chains of thought . they propose Logic-Thinker, which transforms symbolic solvers into chains of thoughts .
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Neuro-Symbolic Natural Language Processing (2025.emnlp-tutorials)

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Challenge: Large Language Models (LLMs) have limitations in terms of safe and controlled reasoning, interpretability and adaptability . this tutorial aims to bridge the gap between the practical performance of LLMs and the principled modelling of language and inference of formal methods.
Approach: This tutorial aims to bridge the gap between the practical performance of Large Language Models and the principled modelling of language and inference of formal methods.
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Adaptive LLM-Symbolic Reasoning via Dynamic Logical Solver Composition (2026.eacl-long)

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Challenge: Existing approaches to NLP are static and require manual formalization.
Approach: They propose an adaptive, multi-paradigm, neuro-symbolic inference framework that automatically identifies formal reasoning strategies from problems expressed in natural language and dynamically selects and applies specialized formal logical solvers.
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Which Programming Language and What Features at Pre-training Stage Affect Downstream Logical Inference Performance? (2024.emnlp-main)

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Challenge: Recent large language models (LLMs) have demonstrated remarkable generalization abilities in mathematics and reasoning tasks.
Approach: They pre-trained decoder-based language models from scratch using ten programming languages and three natural language datasets.
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Can Pretrained Language Models (Yet) Reason Deductively? (2023.eacl-main)

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Challenge: Acquiring factual knowledge with Pretrained Language Models (PLMs) has attracted increasing attention, showing promising performance in many knowledge-intensive tasks.
Approach: They conduct a comprehensive evaluation of the learnable deductive reasoning capability of pretrained language models and compare their performance against simple adversarial surface form edits.
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Exploring End-to-End Differentiable Natural Logic Modeling (2020.coling-main)

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Challenge: Existing approaches to integrate natural logic with neural networks are brittle and prone to fail in the presence of noise and uncertainty.
Approach: They propose to integrate natural logic with neural networks to create differentiable models that integrate natural reasoning with subsymbolic vector representations and neural components.
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