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Capabilities on the main line · INFERENCE-TIME COMPUTE

Reasoning with verification

In one viewIn 2024, models arrived that spend extra time and compute working on a difficult problem before answering.

This improved results in mathematics, programming and science. But long reasoning remains expensive, and a plausible chain of steps still does not guarantee a correct result.

StatusPASSED
TypeCapabilities on the main line
Marker2024
Events in dossier9
Development chronology

Researched

2022-01

Chain of thought

About this eventAsking the model to think step by step raised accuracy — the first hint that thinking at answer time pays.

2024-09

o1

About this eventExtra inference-time compute became a distinct way to improve difficult-task performance.

2025-03

Gemini 2.5

About this eventGoogle brought reasoning into the main Gemini family and combined it with long context and multimodal input.

2025-11

The road to olympiad gold

About this eventAlphaProof took IMO 2024 silver, Aristotle reached 2025 gold. Every system solving problems formally worked through Lean.

2026-07

AxiomProver: 42 out of 42

About this eventA multi-agent ensemble solved all six problems of IMO 2026 with formal Lean 4 proofs.

2026-09-04

Fermat's theorem: Lean formalization

About this eventAnthropic reported an 11-day Claude-assisted computer-checked formalization. It verifies a known result rather than newly solving Fermat's theorem.

NEWreportedPermanent page

In progress

now

Reasoning plus tools

About this eventThinking and calling a calculator, a search or code merged into one loop instead of two separate modes.

Planned

planned

Knowing when to think

About this eventLong reasoning is expensive. The model must decide for itself where scratch paper is needed and where a reflex is enough.

Distant horizons

ahead

Reasoning that lasts months

About this eventProblems where thinking and verification take weeks of continuous work rather than minutes.

Sources and research

Primary material behind this dossier: papers, lab publications and official reports.

Directions
Capabilities on the main line