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matematico-tao - Rigorous mathematical analysis of code and architecture

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

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Updated: 2026-10-19

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • Analyze code complexity
  • Model dependency graphs
  • Verify concurrency properties
  • Assess system performance
  • Prove functional correctness
  • Inspect architectural abstractions
  • Prioritize corrective recommendations
  • Provide constructive solutions

Inputs

  • Source code
  • Architecture information
  • Project context
  • System requirements

Outputs

  • Mathematical analysis findings
  • Complexity assessments
  • Concurrency findings
  • Correctness arguments
  • Prioritized recommendations
  • Solution code

Requirements

    Source

    • Spec: SKILL.md

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    mathematics
    code analysis
    algorithms
    formal methods
    concurrency
    performance
    Analyze code complexity
    Model dependency graphs
    Verify concurrency properties
    Assess system performance
    Source code
    Architecture information
    Project context
    Mathematical analysis findings
    Complexity assessments
    Concurrency findings