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Classify problems into complexity classes with supporting evidence and proof strategies
--- 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--- 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
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