A specialized tool for writing, verifying, and documenting formal mathematical and cryptographic proofs using the Acorn theorem prover.
Install & Download
1. ClawHub CLI
The fastest way to install a skill directly from the registry.
npx clawhub@latest install acorn-prover
2. Manual Installation
Copy the skill folder to one of these locations
~/.openclaw/skills/ <project>/skills/ Priority: Workspace > Local > Bundled
3. Prompt Installation
Copy this prompt to OpenClaw to install it automatically.
Help me install acorn-prover using Clawhub. If Clawhub is not installed, install it first (npm i -g clawhub).
Prefer to download?
Get the raw skill files in a ZIP archive.
What is Acorn Prover Skill?
The Acorn Prover skill is a specialized module for Openclaw Skills designed to handle formal verification tasks. It enables AI agents to interact with the Acorn theorem prover, facilitating the creation of rigorous mathematical proofs and cryptographic protocols. By integrating these capabilities into Openclaw Skills, developers can automate the verification of .ac files, ensuring that complex logic is sound and reproducible.
This skill is particularly useful for developers who need to bridge the gap between AI-assisted coding and formal methods. It provides a structured workflow for sourcing libraries, managing project paths, and executing verification commands. Whether you are formalizing group theory or building secure cryptographic primitives, this tool provides the necessary infrastructure within the Openclaw Skills ecosystem.
Acorn Prover Skill Use Cases
- Formalizing and verifying cryptographic protocols to ensure security.
- Writing mathematical proofs for theorems using Acorn syntax.
- Generating high-quality training datasets for AI models in the formal logic domain.
- Automating the generation of library reference documentation.
- Implementing proof verification in CI/CD pipelines to prevent logic regressions.
How Acorn Prover Skill Works
- Configure the environment by defining the Acorn library and project directories within the skill structure.
- Develop proof logic within .ac files using the specific Acorn syntax requirements and inductive types.
- Trigger the verification process via the AI agent using either mise or direct CLI commands through Openclaw Skills.
- Analyze the comprehensive output from the prover to confirm success or identify specific syntax and logic errors.
- Iterate on the proof logic, utilizing the standard library modules provided within the environment.
Acorn Prover Skill Setup
To begin using this skill within Openclaw Skills, follow these configuration steps:
- Run the setup script with your local library and project paths:
bash skills/acorn-prover/scripts/setup.sh "/path/to/acornlib" "/path/to/project"
- Source the generated environment file to initialize the session:
source skills/acorn-prover/config.env
- Ensure your .ac files are located in the configured project directory for optimal discovery by Openclaw Skills.
Acorn Prover Skill Data Schema & Taxonomy
The skill manages its state and metadata through a configuration file and specific directory structures to ensure compatibility with Openclaw Skills.
| Component | Role in Openclaw Skills |
|---|---|
config.env |
Stores environment variables like ACORN_LIB and ACORN_PROJECT. |
ACORN_LIB |
Points to the source of standard axioms, such as natural numbers and group theory. |
.ac files |
Source files containing formal proof code and theorem definitions. |
training_data/ |
Target directory for problem-proof pairs generated for model development. |
Acorn Prover Skill Advanced Features
- Automated CI/CD integration using the reverify command to check cached proofs without requiring AI searches.
- Support for inductive types with strict lowercase constructor naming conventions for formal consistency.
- Typeclass axiom management using named blocks to simplify complex mathematical structures.
- Deep integration with Context7 MCP for accessing real-time documentation within Openclaw Skills.
- Versatile execution modes supporting both mise task runner and direct CLI binary calls.
SKILL.md
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