Research & Writing

Proof

Jalaran Proof reads a mathematical or logical proof one inferential step at a time and marks each move valid, a gap, an error, or unclear — with every verdict yours to override.

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Who Proof is for

For students and researchers who want a careful second reader on an argument before a supervisor sees it. The specific value is having gaps named as gaps, because the step you skipped is invisible to you by definition — you believed it.

What Proof does

Proof segments an argument into its inferential moves and assigns each one a verdict: valid, a gap, an error, or unclear. The distinction between a gap and an error is the useful part — a gap is a step that is probably true but unjustified, an error is a step that is wrong, and they call for completely different responses. It is honestly framed as a careful read-through rather than a formal verifier, and every verdict is overridable because the reader is a language model and you are the mathematician.

Step-by-step verdicts across the whole argument
Gaps flagged distinctly from errors
Every verdict user-overridable
Honest framing — a careful reader, not a verifier

How Proof works

Paste the proof
A mathematical or logical argument, as you have written it.
Read the segmentation
The argument split into individual inferential moves, which is often clarifying on its own.
Check each verdict
Valid, gap, error or unclear per step. Gaps and errors are separated because they need different fixes.
Override what it got wrong
Every verdict is editable. It is a reader, not an authority, and the module is built on that assumption.

What Proof does not do

This is not a computer algebra system and not a formal verifier. It does not check symbolic manipulation, will not catch a subtle algebraic slip reliably, and cannot prove anything. It is a language model reading your argument attentively — genuinely useful for finding unjustified steps, and not remotely a substitute for Lean, Coq or Isabelle if you need actual verification. A clean report is not a certificate of correctness.

Common questions

Does it verify my proof is correct?

No, and it is careful not to claim so. It is a careful read-through that flags steps looking unjustified or wrong. For real verification you need a proof assistant like Lean or Coq.

What is the difference between a gap and an error?

A gap is a step that is probably true but not justified — you skipped the reasoning. An error is a step that is wrong. They need completely different responses, so it never collapses them into one warning.

Why can I override every verdict?

Because the reader is a language model and you are the mathematician. It will sometimes flag a valid step it did not follow, and a tool that would not let you say so would be worse than useless.