coq-proof-assistant

Name: coq-proof-assistant
Author: gabrielmoreira

Interface with Coq proof assistant for formal verification

by gabrielmoreira(0) 0 installs

Free

Free account. Installing gives you the manifest plus copy-paste snippets.

See reviews

About

Imported from gabrielmoreira/agent-skills-mirror (mirrors/repos/a5c-ai@babysitter/library/specializations/domains/science/mathematics/skills/coq-proof-assistant/SKILL.md). Install upstream with npx skills add gabrielmoreira/agent-skills-mirror --skill coq-proof-assistant. Copyright stays with the author.

Coq Proof Assistant

Purpose

Provides expert guidance on using the Coq proof assistant for formal verification and mathematical formalization.

Capabilities

Ltac and Ltac2 tactic generation
SSReflect/MathComp library integration
Proof by reflection techniques
Extraction to OCaml/Haskell
Proof documentation generation

Usage Guidelines

Proof Scripts: Write Coq vernacular with proper structuring
Tactics: Use Ltac macros for proof automation
Libraries: Leverage MathComp for algebra and SSReflect for reasoning
Extraction: Generate verified executable code

Tools/Libraries

Coq
SSReflect
MathComp
CoqIDE or VS Code

Use it

Copy one of these into your project. Installing also returns the manifest and these snippets.

# after Install: the listing is in your workspace's routing pool - a plan picks it for its slot
curl -s -X POST https://api.opensmartroute.ai/api/v1/route -H 'Authorization: Bearer $OSR_API_KEY' -H 'Content-Type: application/json' -d '{"text": "...", "plan": true}'

Manifest

An Open Capability Manifest: the router reads it to know what this does, what it costs and when to pick it.

gabrielmoreira-agent-skills-mirror-coq-proof-assistant.ocm.jsonjson

{
  "ocm": "1",
  "id": "gabrielmoreira-agent-skills-mirror-coq-proof-assistant",
  "kind": "skill",
  "name": "coq-proof-assistant",
  "description": "Interface with Coq proof assistant for formal verification",
  "publisher": "gabrielmoreira",
  "version": "1.0.0",
  "capabilities": {
    "domains": [
      "general"
    ],
    "tags": [
      "skill-md",
      "github"
    ],
    "languages": [
      "en"
    ]
  },
  "quality_prior": 0.6,
  "examples": [
    "Interface with Coq proof assistant for formal verification"
  ],
  "primary": false,
  "metadata": {
    "source": {
      "provider": "github",
      "repository": "https://github.com/gabrielmoreira/agent-skills-mirror",
      "path": "mirrors/repos/a5c-ai@babysitter/library/specializations/domains/science/mathematics/skills/coq-proof-assistant/SKILL.md",
      "ref": "d5c793801e2fc9c29aa3531805809b3460b19d09",
      "url": "https://github.com/gabrielmoreira/agent-skills-mirror/blob/d5c793801e2fc9c29aa3531805809b3460b19d09/mirrors/repos/a5c-ai@babysitter/library/specializations/domains/science/mathematics/skills/coq-proof-assistant/SKILL.md",
      "key": "gabrielmoreira/agent-skills-mirror/mirrors/repos/a5c-ai@babysitter/library/specializations/domains/science/mathematics/skills/coq-proof-assistant/SKILL.md"
    },
    "allowed_tools": [
      "Bash",
      "Read",
      "Write",
      "Edit",
      "Glob",
      "Grep"
    ]
  },
  "instructions": "# Coq Proof Assistant\n\n## Purpose\n\nProvides expert guidance on using the Coq proof assistant for formal verification and mathematical formalization.\n\n## Capabilities\n\n- Ltac and Ltac2 tactic generation\n- SSReflect/MathComp library integration\n- Proof by reflection techniques\n- Extraction to OCaml/Haskell\n- Proof documentation generation\n\n## Usage Guidelines\n\n1. **Proof Scripts**: Write Coq vernacular with proper structuring\n2. **Tactics**: Use Ltac macros for proof automation\n3. **Libraries**: Leverage MathComp for algebra and SSReflect for reasoning\n4. **Extraction**: Generate verified execut",
  "cost": {
    "context_tokens": 169
  }
}

Fetch it by URL: GET /api/v1/registry/gabrielmoreira-agent-skills-mirror-coq-proof-assistant/manifest?version=1.0.0