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[Home](/content/ ""/index.html)[Tech News](/content/category/tech-news/ "View all posts in Tech News"/index.html)[AI Paper Summary](/content/category/tech-news/ai-paper-summary/ "View all posts in AI Paper Summary"/index.html)LEAN-GitHub: A Large-Scale Dataset for Advancing Automated Theorem Proving
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Theorem proving in mathematics faces growing challenges due to increasing proof complexity. Formalized systems like Lean, Isabelle, and Coq offer computer-verifiable proofs, but creating these demands substantial human effort. Large language models (LLMs) show promise in solving high-school-level math problems using proof assistants, yet their performance still needs to improve due to data scarcity. Formal languages require significant expertise, resulting in limited corpora. Unlike conventional programming languages, formal proof languages contain hidden intermediate information, making raw language corpora unsuitable for training. This scarcity persists despite the existence of valuable human-written corpora. Auto-formalization efforts, while helpful, cannot fully substitute human-crafted data in quality and diversity.
Existing attempts to address theorem-proving challenges have evolved significantly with modern proof assistants like Coq, Isabelle, and Lean having expanded formal systems beyond first-order logic, increasing interest in automated theorem proving (ATP). The recent integration of large language models has further advanced this field. Early ATP approaches used traditional methods like KNN or GNN, with some employing reinforcement learning. Recent efforts utilize deep transformer-based methods, treating theorems as plain text. Many learning-based systems (e.g., GPT-f, PACT, Llemma) train language models on (proof state, next-tactic) pairs and use tree search for theorem proving. Alternative approaches involve LLMs generating entire proofs independently or based on human-provided proofs. Data extraction tools are crucial for ATP, capturing intermediate states invisible in code but visible during runtime. Tools exist for various proof assistants, but Lean 4 tools face challenges in massive extraction across multiple projects due to single-project design limitations. Some methods also explore incorporating informal proofs into formal proofs, broadening the scope of ATP research.
Researchers from The Chinese University of Hong Kong propose LEAN-GitHub, a large-scale Lean dataset that complements the well-utilized Mathlib dataset. This innovative approach provides an open-source Lean repositories on GitHub, significantly expanding the available data for training theorem-proving models. The researchers developed a scalable pipeline to enhance extraction efficiency and parallelism, enabling the exploitation of valuable data from previously uncompiled and unextracted Lean corpus. Also, they provide a solution to the state duplication problem common in tree-proof search methods.
The LEAN-GitHub dataset construction process involved several key steps and innovations:
- Repository Selection: The researchers identified 237 Lean 4 repositories (GitHub does not differentiate between Lean 3 and Lean 4) on GitHub, estimating approximately 48,091 theorems. After discarding 90 repositories with deprecated Lean 4 versions, 147 remained. Only 61 of these could be compiled without modifications.
- Compilation Challenges: The team developed automated scripts to find the closest official releases for projects using non-official Lean 4 versions. They also addressed the issue of isolated files within empty Lean projects.
- Source Code Compilation: Instead of using the Lake tool, they called the Leanc compiler directly. This approach allowed for compiling non-compliant Lean projects and isolated files, which Lake couldn’t handle. They extended Lake’s import graph and created a custom compiling script with increased parallelism.
- Extraction Process: Building upon LeanDojo, the team implemented data extraction for isolated files and restructured the implementation to increase parallelism. This approach overcame bottlenecks in network connection and computational redundancies.
- Results: Out of 8,639 Lean source files, 6,352 and 42,000 theorems were successfully extracted. The final dataset includes 2,133 files and 28,000 theorems with valid tactic information.
The resulting LEAN-GitHub dataset is diverse, covering various mathematical fields including logic, first-order logic, matroid theory, and arithmetic. It contains cutting-edge mathematical topics, data structures, and Olympiad-level problems. Compared to existing datasets, LEAN-GitHub offers a unique combination of human-written content, intermediate states, and diverse complexity levels, making it a valuable resource for advancing automated theorem proving and formal mathematics.
InternLM2-StepProver, trained on the diverse LEAN-GitHub dataset, demonstrates exceptional formal reasoning abilities across various benchmarks. It achieves state-of-the-art performance on miniF2F (63.9% on Valid, 54.5% on Test), surpassing previous models. On ProofNet, it attains an 18.1% Pass@1 rate, outperforming the previous leader. For PutnamBench, it solves 5 problems in a single pass, including the previously unsolved Putnam 1988 B2. These results span high-school to advanced undergraduate-level mathematics, showcasing InternLM2-StepProver’s versatility and the effectiveness of the LEAN-GitHub dataset in training advanced theorem-proving models.
LEAN-GitHub, a large-scale dataset extracted from open Lean 4 repositories, contains 28,597 theorems and 218,866 tactics. This diverse dataset was used to train InternLM2-StepProver, achieving state-of-the-art performance in Lean 4 formal reasoning. Models trained on LEAN-GitHub demonstrate improved performance across various mathematical fields and difficulty levels, highlighting the dataset’s effectiveness in enhancing reasoning capabilities. By open-sourcing LEAN-GitHub, the researchers aim to help the community better utilize under-exploited information in raw corpora and advance mathematical reasoning. This contribution could significantly accelerate progress in automated theorem proving and formal mathematics.
Check out the Paper and Dataset. All credit for this research goes to the researchers of this project. Also, don’t forget to follow us on Twitter and join our Telegram Channel and LinkedIn Gr oup. If you like our work, you will love our newsletter..
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Mohammad Asjad
Asjad is an intern consultant at Marktechpost. He is persuing B.Tech in mechanical engineering at the Indian Institute of Technology, Kharagpur. Asjad is a Machine learning and deep learning enthusiast who is always researching the applications of machine learning in healthcare.
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- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
The Mamba in the Llama: Accelerating Inference with Speculative Decoding
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Improving RLHF (Reinforcement Learning from Human Feedback) with Critique-Generated Reward Models
- Mohammad Asjad
- Mohammad Asjad
Integrating Graph Structures into Language Models: A Comprehensive Study of GraphRAG
- Mohammad Asjad
Code as a Catalyst: Improving LLM Capabilities Across Diverse Tasks
- Mohammad Asjad
DaRec: A Novel Plug-and-Play Alignment Framework for LLMs and Collaborative Models
- Mohammad Asjad
DataVisT5: A Powerful Pre-Trained Language Model for Seamless Data Visualization Tasks
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Meta AI and NYU Researchers Propose E-RLHF to Combat LLM Jailbreaking
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
NACL: A Robust KV Cache Eviction Framework for Efficient Long-Text Processing in LLMs
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
RadGraph2: A New Dataset for Tracking Disease Progression in Radiology Reports
- Mohammad Asjad
- Mohammad Asjad
Allen Institute for AI (AI2) Released a New Bundle of OLMo 1B and 7B Assets
- Mohammad Asjad
- Mohammad Asjad
Magpie-Ultra Dataset Released: Harnessing Llama 3.1 405B for Diverse AI Instruction-Response Pairs
- Mohammad Asjad
- Mohammad Asjad
MLPs vs KANs: Evaluating Performance in Machine Learning, Computer Vision, NLP, and Symbolic Tasks
- Mohammad Asjad
Lyzr Automata: A Low-Code Multi-Agent Framework for Advanced Process Automation
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
PersonaGym: A Dynamic AI Framework for Comprehensive Evaluation of LLM Persona Agents
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
This AI Paper from Stanford Provides New Insights on AI Model Collapse and Data Accumulation
- Mohammad Asjad
- Mohammad Asjad
FLUTE: A CUDA Kernel Designed for Fused Quantized Matrix Multiplications to Accelerate LLM Inference
- Mohammad Asjad
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- Mohammad Asjad
WTU-Eval: A New Standard Benchmark Tool for Evaluating Large Language Models LLMs Usage Capabilities
- Mohammad Asjad
- Mohammad Asjad
From RAG to ReST: A Survey of Advanced Techniques in Large Language Model Development
- Mohammad Asjad
Athene-Llama3-70B Released: An Open-Weight LLM Trained through RLHF based on Llama-3-70B-Instruct
- Mohammad Asjad
- Mohammad Asjad
ZebraLogic: A Logical Reasoning AI Benchmark Designed for Evaluating LLMs with Logic Puzzles
- Mohammad Asjad
MUSE: A Comprehensive AI Framework for Evaluating Machine Unlearning in Language Models
- Mohammad Asjad
- Mohammad Asjad
From Diagrams to Solutions: MAVIS’s Three-Stage Framework for Mathematical AI
- Mohammad Asjad
DotaMath: Advancing LLMs’ Mathematical Reasoning Through Decomposition and Self-Correction
- Mohammad Asjad
G-Retriever: Advancing Real-World Graph Question Answering with RAG and LLMs
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
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- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
WorldBench: A Dynamic and Flexible LLM Benchmark Composed of Per-Country Data from the World Bank
- Mohammad Asjad
- Mohammad Asjad
Safeguarding Healthcare AI: Exposing and Addressing LLM Manipulation Risks
- Mohammad Asjad
- Mohammad Asjad
Rethinking QA Dataset Design: How Popular Knowledge Enhances LLM Accuracy?
- Mohammad Asjad
- Mohammad Asjad
Privacy Meets Performance: GPT4All 3.0 Redefines Local AI Interaction
- Mohammad Asjad
45 Shades of AI Safety: SORRY-Bench’s Innovative Taxonomy for LLM Refusal Behavior Analysis
- Mohammad Asjad
- Mohammad Asjad
Fal AI Introduces AuraSR: A 600M Parameter Upsampler Model Derived from the GigaGAN
- Mohammad Asjad
- Mohammad Asjad
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Q*: A Versatile Artificial Intelligence AI Approach to Improve LLM Performance in Reasoning Tasks
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Camb AI Releases MARS5 TTS: A Novel Open Source Text to Speech Model for Insane Prosody
- Mohammad Asjad
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LOFT: A Comprehensive AI Benchmark for Evaluating Long-Context Language Models
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The Rise of Diffusion-Based Language Models: Comparing SEDD and GPT-2
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Apple Releases 4M-21: A Very Effective Multimodal AI Model that Solves Tens of Tasks and Modalities
- Mohammad Asjad
Pixel Transformer: Challenging Locality Bias in Vision Models
- Mohammad Asjad
Neural Algorithmic Reasoning for Transformers: The TransNAR Framework
- Mohammad Asjad
- Mohammad Asjad
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GenAI-Arena: An Open Platform for Community-Based Evaluation of Generative AI Models
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Benchmarking Federated Learning for Large Language Models with FedLLM-Bench
- Mohammad Asjad
Advancing Reliable Question Answering with the CRAG Benchmark
- Mohammad Asjad
From Low-Level to High-Level Tasks: Scaling Fine-Tuning with the ANDROIDCONTROL Dataset
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Modeling Cultural Accumulation in Artificial Reinforcement Learning Agents
- Mohammad Asjad
Quantized Eigenvector Matrices for 4-bit Second-Order Optimization of Deep Neural Networks
- Mohammad Asjad
- Mohammad Asjad
Parrot: Optimizing End-to-End Performance in LLM Applications Through Semantic Variables
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Inductive Biases in Deep Learning: Understanding Feature Representation
- Mohammad Asjad
Optimizing Agent Planning: A Parametric AI Approach to World Knowledge
- Mohammad Asjad
Unlocking the Potential of SirLLM: Advancements in Memory Retention and Attention Mechanisms
- Mohammad Asjad
Achieving Balance in Lifelong Learning: The WISE Memory Approach
- Mohammad Asjad
A Paradigm Shift: MoRA’s Role in Advancing Parameter-Efficient Fine-Tuning Techniques
- Mohammad Asjad
Transparency in Foundation Models: The Next Step in Foundation Model Transparency Index FMTI
- Mohammad Asjad
An Efficient AI Approach to Memory Reduction and Throughput Enhancement in LLMs
- Mohammad Asjad
- Mohammad Asjad
Toward Responsible Innovation: Evaluating Risks and Opportunities in Open Generative AI
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
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Advancements in Knowledge Distillation and Multi-Teacher Learning: Introducing AM-RADIO Framework
- Mohammad Asjad
RadOnc-GPT: Leveraging Meta Llama for a Pioneering Radiation Oncology Model
- Mohammad Asjad
Enhancing Anomaly Detection with Adaptive Noise: A Pseudo Anomaly Approach
- Mohammad Asjad
- Mohammad Asjad
Towards Autonomous Software Development: The SWE-agent Revolution
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- Mohammad Asjad
Top AI-Powered Cartoonizer Tools
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- Mohammad Asjad
MaRDIFlow: Automating Metadata Abstraction for Enhanced Reproducibility in Computational Workflows
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- Mohammad Asjad
- Mohammad Asjad
Deciphering Transformer Language Models: Advances in Interpretability Research
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- Mohammad Asjad
Evaluating LLM Trustworthiness: Insights from Harmoniticity Analysis Research from VISA Team
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Iterative Preference Optimization for Improving Reasoning Tasks in Language Models
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Bridging the Binary Gap: Challenges in Training Neural Networks to Decode and Summarize Code
- Mohammad Asjad
- Mohammad Asjad
Exploring Parameter-Efficient Fine-Tuning Strategies for Large Language Models
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- Mohammad Asjad
Meet Electric Atlas: A New Era of Robotics by Boston Dynamics
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- Mohammad Asjad
- Mohammad Asjad
Integrating Large Language Models with Graph Machine Learning: A Comprehensive Review
- Mohammad Asjad
Enhancing AI Model’s Scalability and Performance: A Study on Multi-Head Mixture-of-Experts
- Mohammad Asjad
- Mohammad Asjad
Interpretable Deep Learning for Biodiversity Monitoring: Introducing AudioProtoPNet
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Unlocking the Recall Power of Large Language Models: Insights from Needle-in-a-Haystack Testing
- Mohammad Asjad
Navigating the Landscape of CLIP: Investigating Data, Architecture, and Training Strategies
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
The Future of Neural Network Training: Empirical Insights into μ-Transfer for Hyperparameter Scaling
- Mohammad Asjad
- Mohammad Asjad
Meta AI Presents MA-LMM: Memory-Augmented Large Multimodal Model for Long-Term Video Understanding
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Evolution of RAGs: Naive RAG, Advanced RAG, and Modular RAG Architectures
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Stability AI Introduces Stable Code: A General Purpose Base Code Language Model
- Mohammad Asjad
The Idea of Compiler-Generated Feedback for Large Language Models
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
IBM’s Alignment Studio to Optimize AI Compliance for Contextual Regulations
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- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Unlocking the Best Tokenization Strategies: How Greedy Inference and SaGe Lead the Way in NLP Models
- Mohammad Asjad
- Mohammad Asjad
Microsoft AI Researchers Developed a New Improved Framework ResLoRA for Low-Rank Adaptation (LoRA)
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Neural Network Diffusion: Generating High-Performing Neural Network Parameters
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Meet EscherNet: A Multi-View Conditioned Diffusion Model for View Synthesis
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Alibaba Researchers Introduce Mobile-Agent: An Autonomous Multi-Modal Mobile Device Agent
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
Google AI Presents Lumiere: A Space-Time Diffusion Model for Video Generation
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
- Mohammad Asjad
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