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matematico-tao - Analyze code with advanced mathematical methods

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

Tags

Updated: 2026-10-19
mathematicscode analysisalgorithmsformal methodsconcurrency analysisperformance analysis

Capabilities

Analyze algorithmic complexityModel dependency graphsCheck concurrency propertiesAnalyze system performance

Typical Inputs

Source codeArchitecture documentationProject context

Typical Outputs

Mathematical code analysisComplexity findingsConcurrency findings

What this skill does

  • Analyze algorithmic complexity
  • Model dependency graphs
  • Check concurrency properties
  • Analyze system performance
  • Verify formal correctness
  • Evaluate architectural abstractions
  • Refute system invariants
  • Provide constructive recommendations

Inputs

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

Outputs

  • Mathematical code analysis
  • Complexity findings
  • Concurrency findings
  • Performance findings
  • Correctness findings
  • Prioritized recommendations
  • Solution code

Requirements

  • Access to project files
  • A compatible code-analysis environment

Source

  • Spec: SKILL.md

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