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.