LogoClawIndex
CasesSkillsAbout
LogoClawIndex

ClawIndex

OpenClaw Skills & Use Case Index

ClawIndex is an ecosystem-driven index of OpenClaw skills and real-world use cases.

Index

Skills·
Cases

Meta

About·
Disclaimer·
Email·
GitHub
© 2026 ClawIndex All Rights Reserved.

matematico-tao - Ultra-advanced mathematical code analysis

Analyzes code and architecture using rigorous mathematical methods including information theory, graph theory, computational complexity, formal logic, and probability.

Tags

Updated: 2026-10-19

Capabilities

Typical Inputs

Typical Outputs

What this skill does

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

Inputs

  • Source code
  • System architecture
  • Project context
  • Reference files
  • User analysis request

Outputs

  • Mathematical analysis report
  • Complexity findings
  • Concurrency findings
  • Correctness findings
  • Performance findings
  • Prioritized recommendations
  • Corrective code examples

Requirements

    Source

    • Spec: SKILL.md
    mathematics
    code analysis
    algorithms
    formal methods
    Analyze code complexity
    Model dependency graphs
    Check concurrency properties
    Evaluate system performance
    Source code
    System architecture
    Project context
    Mathematical analysis report
    Complexity findings
    Concurrency findings