mlsanityData to 7 Oct 2026

Beyond Statistical Learning: Exact Learning Is Essential for General Intelligence

arXiv 2506.23908 ↗First posted 30 Jun 2025cs.AI cs.LGcited by 6

On the map: LLM reasoning → Reasoning benchmarks and evaluation

Abstract (arXiv)

Sound deductive reasoning -- the ability to derive new knowledge from existing facts and rules -- is an indisputably desirable aspect of general intelligence. Despite the major advances of AI systems in areas such as math and science, especially since the introduction of transformer architectures, it is well-documented that even the most advanced frontier systems regularly and consistently falter on easily-solvable deductive reasoning tasks. Hence, these systems are unfit to fulfill the dream of achieving artificial general intelligence capable of sound deductive reasoning. We argue that their unsound behavior is a consequence of the statistical learning approach powering their development. To overcome this, we contend that to achieve reliable deductive reasoning in learning-based AI systems, researchers must fundamentally shift from optimizing for statistical performance against distributions on reasoning problems and algorithmic tasks to embracing the more ambitious exact learning paradigm, which demands correctness on all inputs. We argue that exact learning is both essential and possible, and that this ambitious objective should guide algorithm design.

Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Placed in Reasoning benchmarks and evaluation, one of 17 directions in LLM reasoning. Builds on 80 of its 122 references that are in the map. First posted on arXiv 30 Jun 2025.

Builds on

80 of 122 references.

Closest ancestors · 7

Same direction, newest first

  1. 2024When a language model is optimized for reasoning, does it still show embers of autoregression? An analysis of OpenAI o12 Oct
  2. 2024MMLU-Pro+: Evaluating Higher-Order Reasoning and Shortcut Learning in LLMs3 Sep
  3. 2024A Peek into Token Bias: Large Language Models Are Not Yet Genuine Reasoners16 Jun
  4. 2024Easy Problems That LLMs Get Wrong30 May
  5. 2024DeepSeek LLM: Scaling Open-Source Language Models with Longtermism5 Jan
  6. 2022Making Large Language Models Better Reasoners with Step-Aware Verifier6 Jun
  7. 2022On the Paradox of Learning to Reason from Data23 May

Other references · 73

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 4; 2026: 2.

6 papers.

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Close in wording, no citation either way

  1. 2023A Simple Generative Model of Logical Reasoning and Statistical Learning
  2. 2022Can Pretrained Language Models (Yet) Reason Deductively?
  3. 2025AI Agents as Universal Task Solvers
  4. 2025From Reasoning to Learning: A Survey on Hypothesis Discovery and Rule Learning with Large Language Models
  5. 2025General Intelligence Requires Reward-based Pretraining
  6. 2025Toward Honest Language Models for Deductive Reasoning
  7. 2023A criterion for Artificial General Intelligence: hypothetic-deductive reasoning, tested on ChatGPT
  8. 2025Bridging Reasoning to Learning: Unmasking Illusions using Complexity Out of Distribution Generalization