International Math Olympiad Benchmark

An International Math Olympiad Benchmark is a mathematical reasoning competition-based AI benchmark that evaluates creative mathematical reasoning through olympiad-level problems (as an AGI milestone indicator).

• AKA: IMO Benchmark, Math Olympiad AI Test, IMO AI Challenge.
• Context:
  • It can typically evaluate Mathematical Problem Solving requiring international math olympiad creative thinking.
  • It can typically test Out-of-Distribution Reasoning through international math olympiad novel problems.
  • It can typically measure Mathematical Proof Generation through international math olympiad proof tasks.
  • It can typically assess Geometric Reasoning Capability through international math olympiad geometry problems.
  • It can typically benchmark Algebraic Manipulation Skill through international math olympiad algebra challenges.
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  • It can often serve as AGI Progress Indicator for international math olympiad reasoning capability.
  • It can often reveal AI Reasoning Limitations in international math olympiad creative problem solving.
  • It can often demonstrate Emergent Capability at international math olympiad model scale thresholds.
  • It can often distinguish Human-Level Performance from international math olympiad AI performance.
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  • It can range from being a Bronze-Level IMO Benchmark to being a Gold-Level IMO Benchmark, depending on its international math olympiad problem difficulty.
  • It can range from being a Single-Problem IMO Benchmark to being a Full-Competition IMO Benchmark, depending on its international math olympiad test scope.
  • It can range from being a Time-Limited IMO Benchmark to being an Unlimited-Time IMO Benchmark, depending on its international math olympiad time constraint.
  • It can range from being a Proof-Required IMO Benchmark to being an Answer-Only IMO Benchmark, depending on its international math olympiad evaluation criterion.
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  • It can integrate with AI System Benchmark Task for international math olympiad performance comparison.
  • It can connect to Mathematical Reasoning Task for international math olympiad problem categorization.
  • It can interface with AI Reasoning Model for international math olympiad model evaluation.
  • It can communicate with Human-level General Intelligence (AGI) Machine for international math olympiad milestone tracking.
  • It can synchronize with AI Benchmark Saturation for international math olympiad difficulty assessment.
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• Example(s):
  • IMO 2024 Benchmark where OpenAI o1 Model achieved international math olympiad gold medal level.
  • IMO Geometry Benchmark testing international math olympiad spatial reasoning.
  • IMO Algebra Benchmark evaluating international math olympiad symbolic manipulation.
  • IMO Combinatorics Benchmark assessing international math olympiad counting problems.
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• Counter-Example(s):
  • Routine Math Benchmark, which lacks creative problem-solving requirements.
  • Computational Math Test, which focuses on calculation accuracy rather than reasoning depth.
  • Multiple-Choice Math Test, which doesn't require proof generation.
• See: AI System Benchmark Task, Mathematical Proof, Mathematics Competition, MMLU (Massive Multitask Language Understanding) Benchmark Task, Abstraction and Reasoning Corpus (ARC) Benchmark, AI Reasoning Model, Artificial General Intelligence (AGI) Level.

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