Agent skill
complexity-class-oracle
Classify problems into complexity classes with supporting evidence and proof strategies
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/science/computer-science/skills/complexity-class-oracle
Metadata
Additional technical details for this skill
- phase
- 6
- domain
- science
- category
- complexity-theory
- specialization
- computer-science
SKILL.md
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
- Problem Characterization: Formalize the computational problem
- Class Investigation: Check membership in relevant classes
- Evidence Collection: Gather evidence for classification
- Strategy Selection: Choose proof strategy for membership
- Documentation: Generate classification report
Tools/Libraries
- Complexity Zoo database
- Diagram generation
- LaTeX documentation
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