Papers by Jordan Meadows

6 papers
FormalScience: Scalable Human-in-the-Loop Autoformalisation of Science with Agentic Code Generation in Lean (2026.acl-long)

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Challenge: Formalising informal mathematical reasoning into formally verifiable code is a significant challenge for large language models.
Approach: They propose a domain-agnostic human-in-the-loop agentic pipeline to aid autoformalisation in scientific domains.
Outcome: The proposed system produces syntactically correct and semantically aligned proofs for low cost.
Exploring the Limits of Fine-grained LLM-based Physics Inference via Premise Removal Interventions (2024.findings-emnlp)

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Challenge: Language models (LMs) perform complex mathematical reasoning in Physics where physical context requires that any symbolic manipulation satisfies complex semantics.
Approach: They systematically remove crucial context from prompts to force instances where model inference may be algebraically coherent, yet unphysical.
Outcome: The proposed models perform poorly in this domain, and their reasoning is not physics-informed.
PhysNLU: A Language Resource for Evaluating Natural Language Understanding and Explanation Coherence in Physics (2022.lrec-1)

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Challenge: physicists use mathematics to reason and explain, separates their field from other disciplines, including mathematics.
Approach: They present a dataset to evaluate the performance of language models in physics . they find that language models are challenged by coherence related tasks in physicists .
Outcome: The proposed models are able to perform well on coherence-related tasks even when trained on natural language objectives.
Introduction to Mathematical Language Processing: Informal Proofs, Word Problems, and Supporting Tasks (2023.tacl-1)

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Challenge: Using mathematical language processing methods, we analyze prevailing methods, existing limitations, and promising avenues for future research.
Approach: They analyze mathematical language processing methods from recent years and highlight prevailing methodologies, existing limitations and promising avenues for future research.
Outcome: The proposed methods highlight prevailing methods, existing limitations and promising avenues for future research.
Multi-Operational Mathematical Derivations in Latent Space (2024.naacl-long)

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Challenge: Using a symbolic engine, we investigate the possibility of approximating multiple mathematical operations in latent space for expression derivation.
Approach: They propose to model mathematical operations as explicit geometric transformations by leveraging a symbolic engine and a large-scale dataset.
Outcome: The proposed paradigms can be used to approximate multiple mathematical operations in latent space, while discriminating the conclusions for a single operation is achievable in the original expression encoder.
A Symbolic Framework for Evaluating Mathematical Reasoning and Generalisation with Transformers (2024.naacl-long)

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Challenge: evaluating the generalisability of Transformers to out-of-distribution mathematical reasoning problems is a challenge for many open-source models.
Approach: They propose a method for generating and perturbing detailed derivations of equations at scale, aided by a symbolic engine, and compare their results to sequence classification tasks.
Outcome: The proposed framework outperforms GPT-4, GPT-3.5 and a canon of fine-tuned BERT models in classification tasks . perturbations to input reasoning can reduce their performance by up to 80 F1 points .

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