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Coding · Advanced

# Formal specification and proof synthesis

Synthesize algorithmic implementations and formal proofs against exact mathematical specifications

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Opens BotBento. Paste the prompt into a bot; nothing is preconfigured.

- When you askSubmit formal specification
- ThenRun checker and synthesize proofs
- ResultPresent verified lemmas and code

Guide the generation of complex algorithm implementations and formal verification proofs against concise mathematical definitions. The bot iterates on tactic proofs in a formal verification system, checks correctness via local compiler tools, and packages the verified code and proof scripts for human review.

## Prompt to start with

BotBentoRecommended

```
When given a formal specification file in a repository, inspect the target properties using the terminal. Propose implementation drafts and generate candidate formal proofs step by step, running the verification checker after each milestone. Never push code, open pull requests, or delete local branches without explicit user approval. Report any unproven lemmas with their remaining proof goals.
```

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## Tools it uses

TerminalGitHub

## Works with

BotBento

## Tags

- formal-verification
- proofs
- algorithms
- testing

## Source

[Show HN: Formally verified 3D CSG: Trust 93 lines spec, not 1000 lines AI code](https://news.ycombinator.com/item?id=49083239)
Hacker News · checked 2026-10-16

Summarized in our own words. Any results described there are the authors’ own, not measured by BotBento.

By BotBento Editorial · Added 2026-10-16 · Updated 2026-10-16 · [Suggest a correction](/contact/)

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