lean-causal-reasoning

Formalize causal DAGs and provenance bridges in Lean 4.

2|Updated May 26, 2026
One-click install
npx skills add https://github.com/r-irbe/proof-skills --skill lean-causal-reasoning
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: lean-causal-reasoning
Source: https://github.com/r-irbe/proof-skills/tree/main/skills/lean-causal-reasoning
Command: npx skills add https://github.com/r-irbe/proof-skills --skill lean-causal-reasoning

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Lean Causal Reasoning Formalization enables encoding causal DAGs, knowledge-graph quality gates, and provenance bridges directly in Lean 4, aligning causal reasoning with repository-local verification pipelines.

Core Features & Use Cases

  • Causal link and causal DAG encodings: interventions, counterfactuals, effects, and acyclicity.
  • Knowledge-graph quality gates: typed edges, confidence thresholds, and provenance chains.
  • Provenance bridges: linking causal DAGs to audit trails in code repos.
  • RALPH-like workflow patterns: Review, Analyze, Lean, Present, Harvest.

Quick Start

Install this skill into your Lean 4 project and start encoding a CausalDAG with provenance bridges.

Frequently Asked Questions about lean-causal-reasoning

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I formalize causal DAGs in Lean 4?▼

To formalize causal DAGs in Lean 4, you encode interventions, counterfactuals, effects, and acyclicity directly into Lean modules to enable repository-local verification pipelines and produce reusable formal reasoning proofs.

What are knowledge-graph quality gates in formal reasoning?▼

Knowledge-graph quality gates are formal constraints in Lean 4 that enforce typed edges, confidence thresholds, and provenance chains, ensuring knowledge representation integrations maintain strict structural integrity and verifiable audit trails.

How do I link causal DAGs to audit trails in code repositories?▼

You link causal DAGs to audit trails by building provenance bridges in Lean 4, which connect formal causal encodings directly to repository-local verification pipelines and knowledge representation integrations.

Does Lean 4 support counterfactuals and causal interventions for knowledge graphs?▼

Yes, Lean 4 supports counterfactuals and causal interventions by providing formal encodings for causal links and DAG structures, allowing you to define typed edges and confidence thresholds for knowledge graphs.

Can I integrate formal causal reasoning with existing lean-proof-review workflows?▼

Yes, this formalization approach remains fully compatible with lean-knowledge-formalization and lean-proof-review workflows, allowing you to apply RALPH-like patterns such as Review, Analyze, Lean, Present, and Harvest.

What is the best way to verify acyclicity in causal knowledge graphs?▼

The best way to verify acyclicity is by encoding causal DAGs directly in Lean 4, which mathematically enforces acyclic structures and validates causal links through repository-local verification pipelines.