---
name: complexity-class-oracle
description: Classify problems into complexity classes with supporting evidence and proof strategies
allowed-tools:
  - Bash
  - Read
  - Write
  - Edit
  - Glob
  - Grep
metadata:
  specialization: computer-science
  domain: science
  category: complexity-theory
  phase: 6
graph:
  domains: [domain:computer-science]
  specializations: [specialization:theoretical-computer-science]
  skillAreas: [skill-area:np-hard-heuristics, skill-area:graph-algorithms, skill-area:mathematical-reasoning]
  workflows: [workflow:research-grant-lifecycle]
  roles: [role:computational-scientist, role:research-engineer]
---

# Complexity Class Oracle

## Purpose

Provides expert guidance on classifying computational problems into complexity classes and understanding class relationships.

## Capabilities

- Determine membership in P, NP, co-NP, PSPACE, EXPTIME
- Identify complete problems for each class
- Query known complexity results database
- Suggest proof strategies for classification
- Generate complexity landscape diagrams
- Explain class inclusions and separations

## Usage Guidelines

1. **Problem Characterization**: Formalize the computational problem
2. **Class Investigation**: Check membership in relevant classes
3. **Evidence Collection**: Gather evidence for classification
4. **Strategy Selection**: Choose proof strategy for membership
5. **Documentation**: Generate classification report

## Tools/Libraries

- Complexity Zoo database
- Diagram generation
- LaTeX documentation


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

## 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.



# Dave AI resource metadata

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

Fields of work: Content & Media, Data & Analytics, Development & Engineering, Education & Research
Roles: Academic Writer, Data Scientist, ML / AI Engineer, Researcher, Technical Writer
Specialties: Specialty not specified
Tools: Complexity Zoo, Latex
Country applicability: Country not specified
Classification basis: Source catalog labels
Instruction SHA-256: 51c1b11542a5c4739cde83f3ed3fcf0d145ccd8ef9f1f4c8df94737a151cf945