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matematico-tao - Analyze Code and Architecture with Advanced Mathematics

Performs rigorous code and architecture analysis using complexity theory, graph theory, formal logic, probability, and related mathematical methods.

Tags

Updated: 2026-10-19
mathematicscode analysisalgorithmsformal methodscomplexity theoryconcurrency

Capabilities

Analyze code complexityModel dependency graphsVerify formal correctnessAnalyze concurrent systems

Typical Inputs

Source codeArchitecture descriptionsProject context

Typical Outputs

Mathematical analysis reportComplexity and dependency findingsCorrectness and concurrency findings

What this skill does

  • Analyze code complexity
  • Model dependency graphs
  • Verify formal correctness
  • Analyze concurrent systems
  • Optimize performance and scheduling
  • Derive invariant-preserving recommendations

Inputs

  • Source code
  • Architecture descriptions
  • Project context
  • Auri analysis reference

Outputs

  • Mathematical analysis report
  • Complexity and dependency findings
  • Correctness and concurrency findings
  • Prioritized recommendations
  • Concrete solution code

Requirements

    Source

    • Spec: SKILL.md

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