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matematico-tao - Analyze code with rigorous mathematical methods

Analyzes code and architecture using complexity theory, graph theory, formal logic, probability, and related mathematical methods.

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Updated: 2026-10-19

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • Analyze code architecture
  • Model dependencies as graphs
  • Verify concurrency properties
  • Calculate complexity and performance
  • Formulate formal contracts
  • Prioritize recommendations
  • Provide constructive proofs

Inputs

  • Source code
  • Architecture context
  • Project reference files
  • Analysis target

Outputs

  • Mathematical analysis report
  • Prioritized recommendations
  • Corrective code examples
  • Verified invariants

Requirements

    Source

    • Spec: SKILL.md

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    mathematics
    code analysis
    algorithms
    formal methods
    complexity theory
    concurrency
    software architecture
    Analyze code architecture
    Model dependencies as graphs
    Verify concurrency properties
    Calculate complexity and performance
    Source code
    Architecture context
    Project reference files
    Mathematical analysis report
    Prioritized recommendations
    Corrective code examples