Complexity Class Oracle

Classify problems into complexity classes with supporting evidence and proof strategies

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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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Frequently asked questions

npx skillmds@latest add a5c-ai/complexity-class-oracle