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complexity-class-oracle

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Classify problems into complexity classes with supporting evidence and proof strategies

General

What this skill does


# 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

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