We are sharing a specialised part-time consulting opportunity for formal-methods professionals with hands-on expertise in Lean 4, interactive theorem proving, mathematical formalisation, program verification, and proof evaluation.
This role supports an advanced AI research initiative focused on strengthening expert-level reasoning in frontier models. Selected professionals will develop challenging formal-verification and theorem-proving problems, review peer-authored tasks, and evaluate AI-generated proofs, tactics, and formalised mathematics for correctness, completeness, and technical rigour.
Key Responsibilities
Formal Methods Problem Development
- Design expert-level problems involving theorem proving, program verification, and mathematical formalisation
- Create tasks requiring precise logical reasoning and valid machine-checkable proofs
- Develop clear problem statements, assumptions, definitions, and expected outcomes
- Prepare technically sound reference proofs and formal solutions
- Ensure tasks test genuine formal reasoning rather than superficial syntax generation
Lean 4 & Theorem-Proving Work
- Develop and review formal proofs using Lean 4 and mathlib
- Assess theorem statements, tactic sequences, term-style proofs, and supporting definitions
- Identify type errors, missing assumptions, invalid proof steps, and incomplete formalisation
- Evaluate whether proofs compile and satisfy the intended mathematical claim
- Review alternative valid proof strategies where appropriate
Peer Review & Ground-Truth Validation
- Review problems and reference solutions authored by other formal-methods specialists
- Assess clarity, originality, difficulty, and technical correctness
- Verify that formal specifications accurately represent the intended theorem or programme property
- Identify ambiguity, unintended shortcuts, inconsistent assumptions, and grading gaps
- Recommend revisions that improve proof quality and evaluation reliability
AI Proof Evaluation
- Review and compare AI-generated proofs, tactics, and formalisation attempts
- Assess logical validity, syntactic correctness, completeness, and alignment with task requirements
- Identify hallucinated lemmas, invalid imports, brittle tactics, and unsupported reasoning
- Assign Accept, Revise, or Reject outcomes with detailed written rationale
- Explain technical failures clearly and propose appropriate corrections
Ideal Profile
Strong candidates may have:
- Substantial experience in formal verification or interactive theorem proving
- Hands-on proficiency with Lean 4 and mathlib
- Experience with Coq, Isabelle, Agda, or comparable proof assistants
- Strong familiarity with type theory, mathematical logic, and formal semantics
- Experience formalising mathematical theorems or verifying software properties
- Ability to read, write, debug, and evaluate machine-checked proofs
- Excellent technical writing and meticulous attention to detail
- Experience reviewing advanced formal-methods or mathematical work
Educational Background
- An advanced degree in computer science, mathematics, logic, software engineering, or a related discipline is highly relevant
- Equivalent professional or research experience in theorem proving and formal verification may also be considered
- Academic research involving type theory, proof assistants, programming languages, or verification may strengthen an application
- Publications, formalisation projects, open-source contributions, or substantial proof-assistant work may also be valuable
Nice to Have
- Deep experience with Lean 4 and the mathlib ecosystem
- Expertise in programme verification, dependent types, or proof automation
- Familiarity with Coq, Isabelle/HOL, Agda, HOL Light, or similar systems
- Experience formalising advanced mathematics
- Background in compiler verification, protocol verification, or verified systems
- Experience teaching, grading, peer reviewing, or authoring formal-methods problems
- Previous exposure to AI proof evaluation, benchmark development, or technical training-data projects
- Familiarity with automated theorem proving and proof-search systems
Why This Opportunity
- Apply advanced formal-methods expertise to frontier AI research
- Develop rigorous theorem-proving and verification challenges
- Help improve how AI systems construct and evaluate formal proofs
- Work across Lean 4, mathematical logic, type theory, and programme verification
- Collaborate with researchers and experienced formal-methods specialists
- Participate in flexible remote work with competitive hourly compensation
Contract Details
- Independent contractor role
- Fully remote with flexible scheduling
- Compensation of up to $90 per hour depending on expertise and project scope
- Weekly payments via Stripe or Wise
- Work may include problem development, formal proof construction, peer review, AI-output evaluation, and technical quality assurance
- Projects may be extended, shortened, or adjusted depending on scope and performance
- Work will not involve access to confidential or proprietary information from any employer, client, or institution
About the Platform
This opportunity is available through 24-MAG LLC. We connect experienced professionals with remote consulting opportunities across technical, evaluation, and project-based workstreams.
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