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.
Outcome: The proposed models outperform natural languages on logical reasoning tasks.

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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.
Outcome: The proposed model performs poorly on a range of natural language questions using chain-of-thought prompting.
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.
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.
What do Large Language Models Learn beyond Language? (2022.findings-emnlp)

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Challenge: Pretraining on text confers models with useful ‘inductive biases’ for non-linguistic reasoning.
Approach: They investigate whether pre-training on text confers these models with helpful ‘inductive biases’ for non-linguistic reasoning.
Outcome: The proposed models outperform non-pretrained models on 19 non-linguistic tasks and show that they retain inductive biases even when training on multi-lingual text and computer code.
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.
Outcome: The models are able to generalise learned logic rules and perform inconsistently against simple adversarial surface form edits, but catastrophically forget the previously learnt knowledge.
oLMpics-On What Language Model Pre-training Captures (2020.tacl-1)

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Challenge: Recent success of pre-trained language models has spurred widespread interest in their capabilities.
Approach: They propose an evaluation protocol that includes zero-shot evaluation and no fine-tuning . they propose to compare the learning curve of a fine- tuned LM to the learning of multiple controls .
Outcome: The proposed evaluation protocol compares the learning curve of a fine-tuned LM to the learning of multiple controls.
Recent Advances in Pre-trained Language Models: Why Do They Work and How Do They Work (2022.aacl-tutorials)

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Challenge: Pre-trained language models are language models that are pre-taught on large-scaled corpora in a self-supervised fashion.
Approach: This tutorial provides a broad and comprehensive introduction to pre-trained language models . it focuses on emerging methods that enable PLMs to perform diverse downstream tasks .
Outcome: This tutorial focuses on the benefits of pre-trained language models and how to use them in NLP tasks.
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.
Outcome: The proposed approach improves reasoning abilities in large language models such as ChatGPT and GPT-4 by up to 5%.
LogicNMR: Probing the Non-monotonic Reasoning Ability of Pre-trained Language Models (2022.findings-emnlp)

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Challenge: Existing work examines the non-monotonic reasoning ability of pre-trained language models.
Approach: They construct a non-monotonic reasoning benchmark with explicit default rules and iterative updates.
Outcome: The proposed model achieves a higher accuracy than the benchmark, but performs poorly on the benchmark.
Complex Reasoning in Natural Language (2023.acl-tutorials)

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Challenge: Recent research shows that pretrained language models are often brittle for complex reasoning tasks.
Approach: They propose to use pre-trained language models to teach machines to reason over texts . they will review recent promising approaches to tackling complex reasoning tasks .
Outcome: This tutorial reviews promising approaches to complex reasoning tasks . it reviews the methods that can be used to augment models with robustness .

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