What Is AI Reasoning? How LLMs Approach Logic and Problem-Solving

Multi-step deduction, maths, and code: what 'reasoning' means for current AI

Ad placeholder (leaderboard)

What we mean by AI reasoning

When people say an AI model can reason, they usually mean it can solve a problem that requires several connected steps rather than a single recall — a word problem, a logic puzzle, a chain of code edits, or a scientific deduction. Reasoning is contrasted with simple retrieval (“what is the capital of France?”) which needs no working-out. In modern LLMs, reasoning shows up concretely as the model producing a sequence of intermediate thoughts before committing to a final answer, and the quality of those intermediate steps strongly affects whether the final answer is correct.

Chain-of-thought and scratchpads

The single most important discovery about LLM reasoning is that letting the model think out loud helps. With chain-of-thought prompting — asking the model to “think step by step” or showing it worked examples — accuracy on maths, logic, and multi-step questions jumps dramatically. A scratchpad is the same idea: giving the model room to write intermediate work, much as a student shows their working. The reason is mechanical: each generated step becomes context that conditions the next, so writing out the path keeps the model from leaping straight to a plausible-but-wrong answer.

Reasoning models and test-time compute

A newer class of reasoning models (such as OpenAI’s o1 and o3 family and similar “thinking” models) goes further: they are trained to spend substantial extra computation before answering, generating long internal chains of thought and sometimes exploring and discarding multiple approaches. This is called scaling test-time compute — trading more thinking time for better answers. The result is markedly stronger performance on hard maths, competitive programming, and science problems, at the cost of higher latency and price. For everyday questions a fast standard model is fine; for genuinely hard, multi-step problems the extra thinking pays off.

Process reward models

How do you train a model to reason well rather than just reach the right final answer? One approach is the process reward model, which scores each intermediate step of a solution rather than only the outcome. By rewarding correct reasoning steps — not just lucky correct answers — training pushes the model toward solution paths that are sound throughout. This matters because a model can sometimes reach a right answer through flawed logic, which does not generalise; rewarding good process produces reasoning that holds up on new problems.

Genuine reasoning or sophisticated mimicry?

The open debate is whether all this is real reasoning or extremely good pattern matching. The case for reasoning: step-by-step methods reliably improve results, and reasoning models solve problems they have plausibly never seen verbatim. The case against: the underlying engine is still next-token prediction, models can output confident logic that is subtly broken, and small perturbations to a problem can cause failures a true reasoner would not make. The grounded conclusion is that current AI does something functionally reasoning-like — invaluable for many hard tasks — while still being unreliable enough that any high-stakes chain of logic deserves a human check.

Ad placeholder (rectangle)