Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:15:42.241838Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 8 inbound Pith citation observations for arXiv:2505.15817.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:15:42.241838Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:37:24.974376Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T02:56:30.043811Z
66 of 66 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 60d20297-a739-47ec-bab8-075e366c0998 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Chain-of-thought prompting elicits reasoning in large language models
Reference 1
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Unavailable: canonical work link unavailable.
Observation eaf00f57-7b25-40a1-840f-7dfcce6eb14a · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Think Outside the Code: Brainstorming Boosts Large Language Models in Code Generation
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0cf9a3a-ef64-4cb4-8cd8-c149da722006 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Typedthinker: Diversify large language model reasoning with typed thinking
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b6347129-0bc6-4bbb-9b86-313bdbb51b44 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Self-Consistency Improves Chain of Thought Reasoning in Language Models
Reference 4
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Unavailable: canonical work link unavailable.
Observation d040d239-e5da-4be3-b57f-bac6fcc3f08c · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Large Language Monkeys: Scaling Inference Compute with Repeated Sampling
Reference 5
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Unavailable: canonical work link unavailable.
Observation db18f640-dde0-4dfd-aeb5-1a51de18da63 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Scaling LLM test- time compute optimally can be more effective than scaling parameters for reasoning
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 815ae266-35e2-420e-a94d-d6c98dd83ffc · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Encouraging Divergent Thinking in Large Language Models through Multi-Agent Debate
Reference 7
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Unavailable: canonical work link unavailable.
Observation 9edd47b4-ac57-4155-9936-1d2149c622fa · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Logic-LM: Empowering Large Language Models with Symbolic Solvers for Faithful Logical Reasoning
Reference 8
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Unavailable: canonical work link unavailable.
Observation 994a9c42-faef-4239-ac86-bea65cb236b3 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Olausson, Alex Gu, Ben Lipkin, Cedegao E
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 04a08381-c07a-4af6-9f47-7883a7c2b2ee · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Lee, and Eunho Yang
Reference 10
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0a63efb7-85ad-4dd8-8af4-f657a3140ef5 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Hybridmind: Meta selection of natural language and symbolic language for enhanced llm reasoning
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e010be67-be54-4f2a-99a9-7df3306f2c7f · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Faithful logical reasoning via symbolic chain-of-thought
Reference 12
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Unavailable: canonical work link unavailable.
Observation ac1bbebe-3a49-4b67-ad86-ec20d992e5c7 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Logic-of-Thought: Injecting Logic into Contexts for Full Reasoning in Large Language Models
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 323c9510-bb68-4a5d-bf2d-b55021dae1e3 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Prentice- hall Englewood Cliffs, NJ, 1972
Reference 14
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Unavailable: canonical work link unavailable.
Observation faa2adaf-1ef0-4b3c-9ce9-cdca45133e63 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Structure-mapping: A theoretical framework for analogy.Cognitive science, 7 (2):155–170, 1983
Reference 15
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Unavailable: canonical work link unavailable.
Observation 60c15d88-eeb7-46c8-b5ea-e1a933e31adb · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Why a diagram is (sometimes) worth ten thousand words
Reference 16
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 02f43de3-c5f6-4e80-b2c9-828da3eb1140 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a77f2f94-68f8-4133-b99f-8e6594fed57a · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Large language model cascades with mixture of thought representations for cost-efficient reasoning
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fcef8a0c-36ca-4b85-9c92-d508b054789d · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning ProofWriter: Generating implications, proofs, and abductive statements over natural language
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db6429e0-488b-48b4-bd85-ea7939e13ff9 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning FOLIO: Natural language reasoning with first-order logic
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation be859b07-219f-4f6f-a86c-12c0b52bc610 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Bounded model checking using satisfiability solving.Formal methods in system design, 19:7–34, 2001
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7db8b6c7-1a8c-4743-9d74-af82582e9648 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Grounding fo and fo (id) with bounds
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7befe637-0f39-42db-9903-a36171bc14b0 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Star: Bootstrapping reasoning with reasoning.Advances in Neural Information Processing Systems, 35:15476–15488, 2022
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb93bd05-9d35-4410-9a1c-89cdf1757a79 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Policy gradi- ent methods for reinforcement learning with function approximation
Reference 24
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5e72854d-769c-49f3-a610-92255b2d2e42 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Qwen2.5 Technical Report
Reference 25
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Unavailable: canonical work link unavailable.
Observation 63f78fa3-8436-480d-b111-209bf12dfa21 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Gemma 2: Improving Open Language Models at a Practical Size
Reference 26
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Unavailable: canonical work link unavailable.
Observation 9481aa29-07d9-4097-a80b-d8f6f886566d · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Gonzalez, Hao Zhang, and Ion Stoica
Reference 27
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Unavailable: canonical work link unavailable.
Observation 843c0f6b-5d52-47a8-9f2e-a9ee0bd01c33 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Large language models meet symbolic provers for logical reasoning evaluation
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4cac93ec-e729-4ee1-b413-463b40112e55 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Verus-lm: a versatile framework for combining llms with symbolic reasoning.arXiv preprint arXiv:2501.14540, 2025
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0c89987-3345-45c4-a251-828ff7a968c4 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Competition-level code generation with alphacode.Science, 378(6624):1092–1097, 2022
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aee10dbd-d8e3-476d-89d9-57ec934cc869 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Exploring human-like translation strategy with large language models.Transactions of the Association for Computational Linguistics, 12:229–246, 2024
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4d4eaf10-4402-48bf-b737-2e0deddab101 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Diversity of thought elicits stronger reasoning capabilities in multi-agent debate frameworks.ArXiv, abs/2410.12853, 2024
Reference 32
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Unavailable: canonical work link unavailable.
Observation 9438521a-17f6-4655-bf12-70abd47bbdbc · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Self-contrast: Better reflection through inconsistent solving perspectives
Reference 33
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation acc4923a-65ee-4c49-b0f4-8bb8e22ca0ea · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Large Language Models Are Reasoning Teachers
Reference 34
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Unavailable: canonical work link unavailable.
Observation 1d6932b2-b9d0-4893-99f7-a7e4bdb9db6e · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Fine-Tuning on Diverse Reasoning Chains Drives Within-Inference CoT Refinement in LLMs
Reference 35
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Unavailable: canonical work link unavailable.
Observation 91e700ef-664f-4383-aa57-4d9ea0133f06 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Chain-of-Reasoning: Towards Unified Mathematical Reasoning in Large Language Models via a Multi-Paradigm Perspective
Reference 36
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Unavailable: canonical work link unavailable.
Observation 656c8341-79f5-4f27-abd5-3e11036033c5 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning V-STaR: Training Verifiers for Self-Taught Reasoners
Reference 37
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Unavailable: canonical work link unavailable.
Observation ede10142-2deb-481a-ae02-1cd82af73184 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Self-taught optimizer (stop): Recursively self-improving code generation
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f42bd0e0-562c-4f4d-b9c7-f08dab4cba0b · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Self-Taught Evaluators
Reference 39
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Unavailable: canonical work link unavailable.
Observation 5e8cc2a8-658c-44e8-bfe7-134b5cd994fb · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Lean-STaR: Learning to Interleave Thinking and Proving
Reference 40
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Unavailable: canonical work link unavailable.
Observation bb95fb40-9f6a-403e-b43b-dbd2abb40acb · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Quiet-STaR: Language Models Can Teach Themselves to Think Before Speaking
Reference 41
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Unavailable: canonical work link unavailable.
Observation 91683d93-14f8-4657-8324-17ee5705671a · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Certified deductive reasoning with language models.Transactions on Machine Learning Research, 2024
Reference 42
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0b1ccf3e-7388-41e7-bc96-c6e6f01be5f8 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning rStar-Math: Small LLMs Can Master Math Reasoning with Self-Evolved Deep Thinking
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cddd3fcc-cb73-4082-8e41-7f20d34ecd80 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning START: Self-taught Reasoner with Tools
Reference 44
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Unavailable: canonical work link unavailable.
Observation 65ca3d72-cd0d-4eea-b331-6c508dc735fc · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Regenesis: LLMs can grow into reasoning generalists via self-improvement
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ffe13c54-1cd4-4b77-a991-54696527bae5 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d081618-a6e4-42fb-9c5d-9feca81d96a1 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Rush, and Thomas Wolf
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d043562d-0d46-467d-8898-297c68c315ca · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Faithful Logical Reasoning via Symbolic Chain-of-Thought
Reference 48
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Unavailable: canonical work link unavailable.
Observation 48731527-4d7e-4842-abdc-b5296a17a573 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 58308492-5524-4a26-b203-ed18c0ce1ef8 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Only TT correct
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f27bf5db-83e6-4764-a17d-8ecf8c036108 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning <end_of_answer> Examples of Truth Table-based Reasoning generated by our models
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4de89110-8fd8-4dd1-b4b2-227fd68fed7f · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6c2c5f76-b28e-43bb-ab48-f7f465bbf092 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning ∃x (W(x)∧F(x)) Conclusion to Evaluate: Some evergreens are not objects of worship
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 142616ff-a1cc-4cc5-9aae-fecfea4dcb6d · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ce9105c9-d15c-47b4-b2f8-f58f815858fe · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b5bc6c7d-a208-4888-9919-bcf11a8961f7 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fbc2a016-437d-41f8-912a-cfe4975507c1 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0bab992f-df0a-4197-ae53-9558ffa191d8 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 65e63cb9-b2c9-4602-a26f-60ca085e19b3 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning All employees who schedule a meeting with their customers will go to the company building today,\
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d2e67450-7b63-4daa-b3f2-769a0b38bae6 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning (Not directly about Rock)
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b486c34e-7dd4-4ea8-85d9-21ccb7156a8e · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning (Not directly about Rock) 35
Reference 61
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0f8e66db-108c-4906-a386-b75cd6c0c214 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning (Not directly about Rock)
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 982701e6-7569-4e69-9a84-6609527873e0 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 65b21b51-a80e-421b-9e95-fb5a05651ea7 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Unresolved cited work
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3e605f23-3b19-45e4-893b-7389a8c06032 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Unresolved cited work
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation da593db9-c8a5-43d0-b17b-22ec73790273 · outbound
Learning to Reason via Mixture-of-Thought for Logical Reasoning Rock" and pet.is_monkey is True: return
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cb2dd002-b98d-4d15-a457-1b9382094597 · inbound
Step-level Verifier-guided Hybrid Test-Time Scaling for Large Language Models Learning to Reason via Mixture-of-Thought for Logical Reasoning
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2128fd9f-9219-4868-92bb-21e14ce554b4 · inbound
Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Learning to Reason via Mixture-of-Thought for Logical Reasoning
Reference 25
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Unavailable: canonical work link unavailable.
Observation 832c0674-f33c-4253-8d81-84f819a15d64 · inbound
CDE: Curiosity-Driven Exploration for Efficient Reinforcement Learning in Large Language Models Learning to Reason via Mixture-of-Thought for Logical Reasoning
Reference 32
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Unavailable: canonical work link unavailable.
Observation 02dab944-003d-41d1-8cb4-4b1edec12468 · inbound
Large Lemma Miners: Can LLMs do Induction Proofs for Hardware? Learning to Reason via Mixture-of-Thought for Logical Reasoning
Reference 18
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c1264204-3ff6-4a9c-badb-78df6db48104 · inbound
Large Lemma Miners: Can LLMs do Induction Proofs for Hardware? Learning to Reason via Mixture-of-Thought for Logical Reasoning
Reference 18
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Unavailable: canonical work link unavailable.
Observation 1756dd94-412c-4eb6-a0d9-dbacfea75e71 · inbound
VeriTrans: Fine-Tuned LLM-Assisted NL-to-PL Translation via a Deterministic Neuro-Symbolic Pipeline Learning to Reason via Mixture-of-Thought for Logical Reasoning
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0485d328-d6f1-41f6-99ea-6222fc70d86b · inbound
Too Correct to Learn: Reinforcement Learning on Saturated Reasoning Data Learning to Reason via Mixture-of-Thought for Logical Reasoning
Reference 46
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 442f9b63-a889-4d2e-92d9-ab695555f6cd · inbound
Small RL Controller, Large Language Model: RL-Guided Adaptive Sampling for Test-Time Scaling Learning to Reason via Mixture-of-Thought for Logical Reasoning
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.