# Proof of Proof (Archived)

- [Overview](https://docs.fast.xyz/proof-of-proof-archived/what-is-pop.md)
- [Architecture](https://docs.fast.xyz/proof-of-proof-archived/architecture.md): In this guide, we look more closely at the architecture of Proof of Proof and how it works end-to-end.
- [Math Proof Generation](https://docs.fast.xyz/proof-of-proof-archived/math-proof-generation.md)
- [Math Proof Checker](https://docs.fast.xyz/proof-of-proof-archived/math-proof-checker.md)
- [ZK Proof Generation](https://docs.fast.xyz/proof-of-proof-archived/zk-proof-generation.md)
- [Applications](https://docs.fast.xyz/proof-of-proof-archived/applications.md)
- [Core technologies](https://docs.fast.xyz/proof-of-proof-archived/core-technologies.md)
- [Formal Semantics & the K Framework](https://docs.fast.xyz/proof-of-proof-archived/core-technologies/formal-semantics-and-the-k-framework.md)
- [Matching Logic](https://docs.fast.xyz/proof-of-proof-archived/core-technologies/matching-logic.md)
- [Zero-Knowledge Proofs & zkVMs](https://docs.fast.xyz/proof-of-proof-archived/core-technologies/zero-knowledge-proofs-and-zkvms.md)


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://docs.fast.xyz/proof-of-proof-archived.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.
