Agent Skills by r-irbe
Showing 65 vetted skills indexed across 1 GitHub repositories.
r-irbeai-causal-deontic
Formalize causal reasoning and deontic logic in Lean 4 workflows.
r-irbemath-measure-probability
Solve measure-theoretic and probabilistic problems with rigorous mathematical reasoning.
r-irbelean-retro-methodology
Coordinate Lean 4 retroactive formalization using the RETRO protocol.
r-irbelean-package-research
Assess Lean 4 packages and toolchains to produce adoption recommendations with sequencing.
r-irbeapplied-legal-reasoning
Formalize legal reasoning tasks for AI governance with formal frameworks.
r-irbelean-doc-improvement
Triage Lean-derived updates and generate patches for documentation handbooks.
r-irbemath-nonlinear-dynamics
Analyze nonlinear dynamical systems for stability, phase portraits, and bifurcations.
r-irberesearch-synthesis-engine
Generate structured specifications from raw research via the five-role SYNTHESIZE loop.
r-irbeai-commonsense-reasoning
Formalize everyday knowledge for commonsense reasoning in AI systems.
r-irbelean-security-formalization
Formalize security properties and information-flow proofs in Lean 4.
r-irbelean-applied-reasoning
Formalizes applied reasoning tasks into Lean 4 proof workflows and zettelkasten handoffs.
r-irbelean-nested-learning
Formalize nested learning theory and LaSalle invariants in Lean 4 codebases.
r-irbelean-math-discrete
Formalize graph theory, lattices, and discrete structures in Lean 4 using Mathlib4 patterns.
r-irbelean-specification
Plan Lean 4 theorem specifications with a three-part workflow.
r-irbelean-math-analysis
Formalize real analysis and topology in Lean 4 using Mathlib filters.
r-irbelean-zettelkasten
Organize Lean proof observations into bidirectional Zettelkasten notes.
r-irbemath-time-series
Analyze time-series data to extract trends, seasonality, and changepoints.
r-irbelean-doc-requirements
Extract formal Lean 4 requirements from informal documents with source traceability.
r-irbemath-algebra-category
Organize algebraic hierarchies and categorical constructs in Lean proofs.
r-irbelean-tautology-triage
Classify Lean 4 theorem proofs as vacuous, tautological, or placeholder.
r-irbemath-optimization-game
Solve optimization, game-theoretic, and RL reasoning problems with structured modeling steps.
r-irbelean-integration-protocol
Standardize document lifecycles and handoffs across multi-skill workflows.
r-irbemath-strategy-studio
Frame strategic questions and surface candidate proof approaches for Lean 4 formalization.
r-irbeapplied-engineering-disciplines
Route engineering disciplines to formal mathematics workflows within Lean 4 environments.