How did AI solve the International Math Olympiad questions and win a gold medal?

AI - Ảnh 1. — AI model solves International Mathematical Olympiad (IMO) problems.

AI can now not only solve ordinary math problems but also surpass the International Mathematical Olympiad (IMO). In a simulated competition organized by international experts in 2025, DeepMind's AlphaMath model achieved a perfect score and won a gold medal.

AI model achieves perfect score in the simulated mathematics Olympiad .

A new artificial intelligence model called AlphaMath , developed by DeepMind in collaboration with a research team from OpenAI, has just achieved a perfect score in the International Mathematical Olympiad (IMO) simulation.

This isn't the first time AI has solved a complex problem, but it's the first time a system has been able to perform a clear and coherent logical reasoning sequence, much like how a real contestant would reason to win a gold medal.

AlphaMath doesn't use programming algebra-style problem-solving techniques like Wolfram Alpha, nor does it simply rely on predicting the next word like current language models. Instead, the model operates on a platform combining deep neural networks and symbolic logic systems – an approach known as neuro-symbolic reasoning.

Thanks to this, AlphaMath can understand the problem described in natural language, break it down into precise logical reasoning steps, and then present the complete solution as a mathematical proof.

A notable aspect of AlphaMath's design is that its model training is not based solely on correct solutions, but also includes millions of incorrect solutions, along with steps to correct those errors. This process helps the system learn to detect logical errors, evaluate the validity of hypotheses, and adjust its approach at each step.

This represents a shift from "memorizing patterns" to "structured critical thinking," enabling the model not only to solve problems correctly but also to self-regulate its reasoning process like a professional mathematician.

When tested with a simulated IMO exam, AlphaMath demonstrated its ability to independently analyze the problem, re-evaluate assumptions, propose an approach, critique its own solution, and finally present a written solution incorporating formulas, in the same way that real IMO candidates typically do.

This is the first time an AI system has not only found the answer , but also reproduced the entire reasoning process so convincingly that it can be graded like a real handwritten exam.

The Rise of Reasoning AI: From Mathematical Problem Solving to Knowledge Design

AlphaMath's success not only demonstrates the new capabilities of AI in the field of mathematics, but also expands the ability of computers to access highly structured knowledge spaces , previously reserved only for humans.

The ability to understand problems, analyze logic, construct proofs, and critically analyze them suggests that AI is getting closer to manipulating formal knowledge, one of the major challenges facing the field of artificial intelligence.

AlphaMath doesn't work like a traditional digital computer. This model understands natural language and uses it to create organized mathematical reasoning structures.

This is a step forward that allows artificial intelligence not only to read and respond, but also to build its own verifiable thinking systems. As reasoning abilities are modeled and automated , AI will not stop at assisting humans in finding answers, but can also play a role in detecting programming errors, proving theorems, designing integrated circuits, or researching theoretical physics.

What's unique about AlphaMath is that it doesn't just process mathematical formulas as input; it also works directly with written problem descriptions, much like a student receiving an exam and starting to think. This creates greater interactivity between AI and academic fields where language and reasoning are core tools, rather than just pure arithmetic.

Although AlphaMath is not yet able to formulate new problems or discover innovative mathematical concepts, which require human intuition and experience, achieving a perfect score in the simulated IMO exam is a clear signal that AI is entering a new phase where it is no longer just responding, but has learned to reason systematically.

And that's the foundation for future generations of specialized AI, where logic is no longer the exclusive domain of humans.

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Tuan Vi

Source: https://tuoitre.vn/ai-giai-de-olympic-toan-quoc-te-the-nao-ma-gianh-huy-chuong-vang-20250725180121618.htm