The Geometry of Reasoning: Flowing Logics in Representation Space
Fuente:
arXiv
Saved in:
| Main Authors: | Zhou, Yufa, Wang, Yixiao, Yin, Xunjian, Zhou, Shuyan, Zhang, Anru R. |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
SATBench: Benchmarking LLMs' Logical Reasoning via Automated Puzzle Generation from SAT Formulas
by: Wei, Anjiang, et al.
Published: (2025)
by: Wei, Anjiang, et al.
Published: (2025)
Geometry of Reason: Spectral Signatures of Valid Mathematical Reasoning
by: Noël, Valentin
Published: (2026)
by: Noël, Valentin
Published: (2026)
FLARE: Faithful Logic-Aided Reasoning and Exploration
by: Arakelyan, Erik, et al.
Published: (2024)
by: Arakelyan, Erik, et al.
Published: (2024)
JustLogic: A Comprehensive Benchmark for Evaluating Deductive Reasoning in Large Language Models
by: Chen, Michael K., et al.
Published: (2025)
by: Chen, Michael K., et al.
Published: (2025)
Recursive Decomposition of Logical Thoughts: Framework for Superior Reasoning and Knowledge Propagation in Large Language Models
by: Qasim, Kaleem Ullah, et al.
Published: (2025)
by: Qasim, Kaleem Ullah, et al.
Published: (2025)
Are Language Models Efficient Reasoners? A Perspective from Logic Programming
by: Opedal, Andreas, et al.
Published: (2025)
by: Opedal, Andreas, et al.
Published: (2025)
Lattice Annotated Temporal (LAT) Logic for Non-Markovian Reasoning
by: Mukherji, Kaustuv, et al.
Published: (2025)
by: Mukherji, Kaustuv, et al.
Published: (2025)
Autoformalizing Natural Language to First-Order Logic: A Case Study in Logical Fallacy Detection
by: Lalwani, Abhinav, et al.
Published: (2024)
by: Lalwani, Abhinav, et al.
Published: (2024)
Controlling Logical Collapse in LLMs via Algebraic Ontology Projection over F2
by: Miyashita, Hisashi, et al.
Published: (2026)
by: Miyashita, Hisashi, et al.
Published: (2026)
Conflict-Aware Fusion: Mitigating Logic Inertia in Large Language Models via Structured Cognitive Priors
by: Bao, Qiming, et al.
Published: (2025)
by: Bao, Qiming, et al.
Published: (2025)
REAL-Prover: Retrieval Augmented Lean Prover for Mathematical Reasoning
by: Shen, Ziju, et al.
Published: (2025)
by: Shen, Ziju, et al.
Published: (2025)
Logical Phase Transitions: Understanding Collapse in LLM Logical Reasoning
by: Zhang, Xinglang, et al.
Published: (2026)
by: Zhang, Xinglang, et al.
Published: (2026)
Reasoning Inconsistencies and How to Mitigate Them in Deep Learning
by: Arakelyan, Erik
Published: (2025)
by: Arakelyan, Erik
Published: (2025)
Regional, Lattice and Logical Representations of Neural Networks
by: Preto, Sandro, et al.
Published: (2025)
by: Preto, Sandro, et al.
Published: (2025)
Dissecting Logical Reasoning in LLMs: A Fine-Grained Evaluation and Supervision Study
by: Zhou, Yujun, et al.
Published: (2025)
by: Zhou, Yujun, et al.
Published: (2025)
Token Assorted: Mixing Latent and Text Tokens for Improved Language Model Reasoning
by: Su, DiJia, et al.
Published: (2025)
by: Su, DiJia, et al.
Published: (2025)
Temporal Inductive Logic Reasoning over Hypergraphs
by: Yang, Yuan, et al.
Published: (2022)
by: Yang, Yuan, et al.
Published: (2022)
Multi-Step Deductive Reasoning Over Natural Language: An Empirical Study on Out-of-Distribution Generalisation
by: Bao, Qiming, et al.
Published: (2022)
by: Bao, Qiming, et al.
Published: (2022)
GLIDR: Graph-Like Inductive Logic Programming with Differentiable Reasoning
by: Johnson, Blair, et al.
Published: (2025)
by: Johnson, Blair, et al.
Published: (2025)
Can Transformers Reason Logically? A Study in SAT Solving
by: Pan, Leyan, et al.
Published: (2024)
by: Pan, Leyan, et al.
Published: (2024)
A Logic for Reasoning About Aggregate-Combine Graph Neural Networks
by: Nunn, Pierre, et al.
Published: (2024)
by: Nunn, Pierre, et al.
Published: (2024)
Enhancing Reasoning Capabilities of LLMs via Principled Synthetic Logic Corpus
by: Morishita, Terufumi, et al.
Published: (2024)
by: Morishita, Terufumi, et al.
Published: (2024)
SATQuest: A Verifier for Logical Reasoning Evaluation and Reinforcement Fine-Tuning of LLMs
by: Zhao, Yanxiao, et al.
Published: (2025)
by: Zhao, Yanxiao, et al.
Published: (2025)
Lean Meets Theoretical Computer Science: Scalable Synthesis of Theorem Proving Challenges in Formal-Informal Pairs
by: Zhang, Terry Jingchen, et al.
Published: (2025)
by: Zhang, Terry Jingchen, et al.
Published: (2025)
Logic-Parametric Neuro-Symbolic NLI: Controlling Logical Formalisms for Verifiable LLM Reasoning
by: Farjami, Ali, et al.
Published: (2026)
by: Farjami, Ali, et al.
Published: (2026)
From Symbolic Tasks to Code Generation: Diversification Yields Better Task Performers
by: Zhang, Dylan, et al.
Published: (2024)
by: Zhang, Dylan, et al.
Published: (2024)
DeepSeek-Prover-V1.5: Harnessing Proof Assistant Feedback for Reinforcement Learning and Monte-Carlo Tree Search
by: Xin, Huajian, et al.
Published: (2024)
by: Xin, Huajian, et al.
Published: (2024)
Herald: A Natural Language Annotated Lean 4 Dataset
by: Gao, Guoxiong, et al.
Published: (2024)
by: Gao, Guoxiong, et al.
Published: (2024)
From Blind Solvers to Logical Thinkers: Benchmarking LLMs' Logical Integrity on Faulty Mathematical Problems
by: Rahman, A M Muntasir, et al.
Published: (2024)
by: Rahman, A M Muntasir, et al.
Published: (2024)
Towards Advanced Mathematical Reasoning for LLMs via First-Order Logic Theorem Proving
by: Cao, Chuxue, et al.
Published: (2025)
by: Cao, Chuxue, et al.
Published: (2025)
The Logical Expressiveness of Temporal GNNs via Two-Dimensional Product Logics
by: Sälzer, Marco, et al.
Published: (2025)
by: Sälzer, Marco, et al.
Published: (2025)
Learning Logic Specifications for Policy Guidance in POMDPs: an Inductive Logic Programming Approach
by: Meli, Daniele, et al.
Published: (2024)
by: Meli, Daniele, et al.
Published: (2024)
LogicAsker: Evaluating and Improving the Logical Reasoning Ability of Large Language Models
by: Wan, Yuxuan, et al.
Published: (2024)
by: Wan, Yuxuan, et al.
Published: (2024)
Extracting Formulae in Many-Valued Logic from Deep Neural Networks
by: Zhang, Yani, et al.
Published: (2024)
by: Zhang, Yani, et al.
Published: (2024)
Conditional Logical Message Passing Transformer for Complex Query Answering
by: Zhang, Chongzhi, et al.
Published: (2024)
by: Zhang, Chongzhi, et al.
Published: (2024)
Transformers Can Learn Connectivity in Some Graphs but Not Others
by: Roy, Amit, et al.
Published: (2025)
by: Roy, Amit, et al.
Published: (2025)
Local Look-Ahead Guidance via Verifier-in-the-Loop for Automated Theorem Proving
by: Rajaee, Sara, et al.
Published: (2025)
by: Rajaee, Sara, et al.
Published: (2025)
Mathematics with large language models as provers and verifiers
by: Duc, Hieu Le, et al.
Published: (2025)
by: Duc, Hieu Le, et al.
Published: (2025)
Combining Textual and Structural Information for Premise Selection in Lean
by: Petrovčič, Job, et al.
Published: (2025)
by: Petrovčič, Job, et al.
Published: (2025)
A Neurosymbolic Approach to Natural Language Formalization and Verification
by: Bayless, Sam, et al.
Published: (2025)
by: Bayless, Sam, et al.
Published: (2025)
Similar Items
-
SATBench: Benchmarking LLMs' Logical Reasoning via Automated Puzzle Generation from SAT Formulas
by: Wei, Anjiang, et al.
Published: (2025) -
Geometry of Reason: Spectral Signatures of Valid Mathematical Reasoning
by: Noël, Valentin
Published: (2026) -
FLARE: Faithful Logic-Aided Reasoning and Exploration
by: Arakelyan, Erik, et al.
Published: (2024) -
JustLogic: A Comprehensive Benchmark for Evaluating Deductive Reasoning in Large Language Models
by: Chen, Michael K., et al.
Published: (2025) -
Recursive Decomposition of Logical Thoughts: Framework for Superior Reasoning and Knowledge Propagation in Large Language Models
by: Qasim, Kaleem Ullah, et al.
Published: (2025)