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matematico-tao - Advanced mathematical code analysis

Performs rigorous code and architecture analysis using information theory, graph theory, computational complexity, linear algebra, stochastic analysis, category theory, Bayesian probability, and formal logic.

Tags

Updated: 2026-10-19

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • Analyze code rigorously
  • Model dependencies as graphs
  • Analyze concurrency properties
  • Evaluate performance and latency
  • Verify formal correctness
  • Apply category theory to architecture
  • Refute invariants with counterexamples
  • Prioritize corrective recommendations
  • Provide constructive proofs

Inputs

  • Source code
  • Architecture descriptions
  • Project reference files
  • Analysis requirements

Outputs

  • Mathematical analysis report
  • Prioritized recommendations
  • Concrete code solutions
  • Proofs and counterexamples

Requirements

  • Claude Code
  • Antigravity
  • Cursor
  • Gemini CLI
  • Codex CLI

Source

  • Spec: SKILL.md
mathematics
code analysis
algorithms
formal methods
concurrency
performance analysis
Analyze code rigorously
Model dependencies as graphs
Analyze concurrency properties
Evaluate performance and latency
Source code
Architecture descriptions
Project reference files
Mathematical analysis report
Prioritized recommendations
Concrete code solutions