---
name: loop-invariant-generator-16566d346aaa
description: Automatically generate and verify loop invariants for algorithm correctness proofs
allowed-tools:
  - Bash
  - Read
  - Write
  - Edit
  - Glob
  - Grep
metadata:
  specialization: computer-science
  domain: science
  category: algorithm-analysis
  phase: 6
graph:
  domains: [domain:computer-science]
  specializations: [specialization:theoretical-computer-science]
  skillAreas: [skill-area:compiler-implementation, skill-area:mathematical-reasoning, skill-area:language-design]
  workflows: [workflow:research-grant-lifecycle]
  roles: [role:computational-scientist, role:research-scientist]
---

# Loop Invariant Generator

## Purpose

Provides expert guidance on generating and verifying loop invariants for algorithm correctness proofs using formal methods.

## Capabilities

- Infer candidate loop invariants from code structure
- Verify initialization, maintenance, and termination conditions
- Generate formal proof templates
- Handle nested loops and complex data structures
- Export to theorem provers (Dafny, Why3)
- Suggest invariant strengthening

## Usage Guidelines

1. **Code Analysis**: Analyze loop structure and identify key properties
2. **Candidate Generation**: Generate candidate invariants from code patterns
3. **Verification**: Check initialization, maintenance, termination
4. **Strengthening**: Refine invariants to prove desired properties
5. **Export**: Generate proof obligations for theorem provers

## Tools/Libraries

- Dafny
- Why3
- SMT solvers (Z3, CVC5)
- Static analysis frameworks


---
Source attribution: a5c-ai
Original project: https://github.com/a5c-ai/babysitter/blob/feb68abe397acc14f32b34984975c48fedba2b33/library/specializations/domains/science/computer-science/skills/loop-invariant-generator/SKILL.md
License: MIT
License information: https://opensource.org/license/mit
Original upstream instructions; downloaded from Mega AI Hub.

## Upstream license notice

# MIT License

Copyright (c) 2025 A5C AI

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.



# Mega AI Hub resource metadata

Creator / publisher: a5c-ai
Original project: https://github.com/a5c-ai/babysitter/blob/feb68abe397acc14f32b34984975c48fedba2b33/library/specializations/domains/science/computer-science/skills/loop-invariant-generator/SKILL.md
Attribution basis: Source repository record

Fields of work: Data & Analytics, Development & Engineering, Education & Research, Product Management
Roles: Data Scientist, ML / AI Engineer, Product Manager, Researcher, Technical Product Manager
Specialties: API
Tools: Cvc5, Dafny, Why3, Z3
Country applicability: Country not specified
Classification basis: Source catalog labels
Instruction SHA-256: 5c96e5c03564653f796f4e9d155cb7e4f29520c5d02ff72c345046de0fee3bdd