Challenge: Recent work shows that transformers can generate both implications of a theory and the natural language proofs that support them.
Approach: They propose a generative model that generates both implications of a theory and natural language proofs that support them.
Outcome: The proposed model generates both implications of a theory and the natural language proofs that support them.

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Natural Language Deduction with Incomplete Information (2022.emnlp-main)

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Challenge: Existing systems for reasoning given incomplete information are inadequate . current approaches to reasoning are based on latent reasoning by large language models .
Approach: They propose a system that generates a natural language "proof" by abductively inferring a premise from another premise and a conclusion.
Outcome: The proposed system can handle the underspecified setting where not all premises are stated at the outset; additional assumptions need to be materialized to prove a claim.
PRover: Proof Generation for Interpretable Reasoning over Rules (2020.emnlp-main)

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Challenge: Recent work shows that transformers can act as “soft theorem provers” by answering questions over explicitly provided knowledge in natural language.
Approach: They propose a transformer-based model that answers binary questions over rule-bases and generates the corresponding proofs.
Outcome: The proposed model generates proofs with an accuracy of 87% while maintaining or improving performance on the QA task.
AbductionRules: Training Transformers to Explain Unexpected Inputs (2022.findings-acl)

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Challenge: AbductionRules is a set of natural language datasets designed to train and test generalisable abduction over natural-language knowledge bases.
Approach: They propose to train and test generalisable abduction over natural-language knowledge bases by using natural language datasets to fine tune pre-trained Transformers.
Outcome: The proposed models learned generalisable abduction techniques but also exploited the structure of the datasets.
Can Transformers Reason in Fragments of Natural Language? (2022.emnlp-main)

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Challenge: Recent work on natural language inference has identified two strands of research .
Approach: They investigate whether neural networks have acquired logical principles from natural language . they use transformer-based models to detect valid inferences in controlled fragments of natural language.
Outcome: The proposed model overfits to superficial patterns in the data rather than acquiring the logical principles governing reasoning in natural language fragments.
FaiRR: Faithful and Robust Deductive Reasoning over Natural Language (2022.acl-long)

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Challenge: Currently, black-box models generate both the proof graph and intermediate inferences within the same model and thus may be unfaithful.
Approach: They propose a transformer-based model that can perform deductive reasoning on a logical rulebase containing rules and statements written in natural language.
Outcome: The proposed model is robust to language perturbations and faster at inference than previous models on existing reasoning datasets.
Can Language Models Learn Embeddings of Propositional Logic Assertions? (2024.lrec-main)

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Challenge: Existing methods for automating reasoning can no longer be used for natural language tasks.
Approach: They propose to use transformer-based language models to reason about knowledge expressed in natural language rather than using LMs to perform reasoning directly.
Outcome: The proposed approach is feasible to some extent, but lacks robustness.
From Sentences to Proof Trees: Leveraging Language Models for Structured Reasoning (2026.eacl-srw)

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Challenge: Multi-hop reasoning requires a chain of facts to reflect the reasoning behind the answer.
Approach: They propose an inference-guided prompting approach that performs well in natural language questions . they propose a neuro-symbolic approach to reasoning using large language models .
Outcome: The proposed model outperforms all prompting strategies and fine-tunes LLMs trained specifically for proof generation.
Faithful and Robust LLM-Driven Theorem Proving for NLI Explanations (2025.acl-long)

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Challenge: Recent work has shown that the interaction of large language models (LLMs) with theorem provers (TPs) can help verify and improve the validity of NLI explanations.
Approach: They propose to use logical expressions to guide LLMs in generating structured proof sketches and to use them to improve their accuracy.
Outcome: The proposed strategies improve autoformalisation, syntactic errors and explanation refinement over the state-of-the-art model.
LINC: A Neurosymbolic Approach for Logical Reasoning by Combining Language Models with First-Order Logic Provers (2023.emnlp-main)

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Challenge: Logical reasoning is an important task for artificial intelligence, says a new study . many prompting-based strategies to enable large language models fail in subtle and unpredictable ways.
Approach: They propose to reformulate logical reasoning tasks by leveraging large language models . they use a modular neurosymbolic programming approach to translate premises and conclusions from natural language to logic .
Outcome: The proposed approach outperforms open-source models on FOLIO and ProofWriter while showing distinct failure modes.
Fundamental Reasoning Paradigms Induce Out-of-Domain Generalization in Language Models (2026.findings-acl)

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Challenge: Deduction, induction, and abduction are fundamental reasoning paradigms, core for human logical thinking.
Approach: They propose to use a dataset of symbolic tasks to induce deductive skills into large language models (LLMs) they then use FT to fine-tune models to improve OOD generalization .
Outcome: The proposed approach yields strong generalizability with substantial performance gains (up to 14.60) across realistic out-of-domain tasks.

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