Hidden Reasoning

Hidden reasoning refers to internal representation transformations that influence output without being directly visible.

~/writing/math-foundations-for-reasoning-models $ cat topic.md

Definition

Hidden reasoning refers to internal computation that is not directly visible in the output.

Simple form:

input -> hidden transformations -> output

The model may transform representations internally before producing text.

Hidden reasoning is internal representation processing.

Neural models operate through hidden states and activations.

These states are not written out as normal language.

They are numerical representations.

not visible:
internal vectors, attention patterns, layer states

visible:
final text or external scratchpad

Hidden reasoning is hidden because it exists inside the model's computation.

Hidden reasoning can sound mysterious, but it is still computation.

It consists of learned transformations over representations.

representation at layer 1
representation at layer 2
representation at layer 3

The difficulty is inspection, not magic.

Hidden reasoning is hard to observe directly, but it is still structured computation.

Visible steps are text or actions the system exposes.

Hidden steps are internal transformations.

Example:

visible:
"First, check the constraint."

hidden:
model states that influenced this sentence

The visible step may reflect some internal process, but it is not the same object.

Visible reasoning is an output artifact; hidden reasoning is internal state change.

Because hidden reasoning is distributed, it may be difficult to map it cleanly to human concepts.

This creates interpretation limits.

Examples:

we may inspect outputs
we may inspect activations
we may inspect attention
but none gives complete certainty alone

Hidden computation can influence behavior without being fully interpretable.

~/writing/math-foundations-for-reasoning-models $ open

Tool Use