BibTeX bibliographies for proof engineering-related papers

An exhaustive condensed detachment formal proof generator for Hilbert systems in proof theory.

REPLICA: REPL Instrumentation for Coq Analysis

Lean Toolchain provides a collection of formally verified cryptographic algorithms, mathematical operations, and data parsing utilities. All implementations are proven correct in Lean 4 and can be extracted to high-performance Rust code.

Artifact for "Proof Repair across Quotient Type Equivalences" paper (OOPSLA 2025 paper)

Multi-prover formal verification of Certified Null Operations (CNO: programs provably computing nothing) and Observational Null Disclosure (OND: programs provably revealing nothing). Two co-equal, logically independent pillars verified across Coq, Lean 4, and Agda, with axiom counts and out-of-scope residue lists honestly surfaced.

Research language whose affine/QTT core is proved sound twice — Coq and Idris2, axiom-free and CI-gated — with the verified usage-checker ported into the Rust compiler. Nested Solo ⊂ Duet ⊂ Ensemble dialects, session-typed concurrency, echo types for loss that isn't erasure. Early alpha.

Catches the bugs tests miss and the bogus proofs LLMs write. Source code → Lean 4 with five validation gates.

APM-installable agent skills for Lean 4 and Mathlib4 — proof tactics, math domains, review and research workflows, generic tooling.

The Role of Thoughts: a Dynamic Cognitive Mixture-of-Experts router for Claude Code. 9 expert lenses, 10 routing lanes, an R/s+ divergence gauge -- specified in 1770 machine-checked Lean 4 theorems across 99 modules, with 797 mutants applied and 797 killed, and 84 checkers behind 83 release gates.

A comprehensive Coq formalization of the Collatz conjecture with a combinatorial analysis framework. Proves linear division advantage.

Lean Project Evidence (lpe) is a project-grounded evidence and review layer for AI-assisted Lean development.

Computational and mathematical research archive and proof-engineering workspace for experimental approaches to the Riemann Hypothesis, Li-Keiper positivity, and related spectral/arithmetic structures.

A Formal Proof of the Irrationality of the Euler-Mascheroni Constant.

Solving software verification exercises using Athena

Kernel-safe upper-compatible proof-engineering layer over Lean 4. spec def, concept, refines, obligations, proofplan, trust ledger.

Independent research on verifiable AI & systems safety, causal security and non-execution proofs.

Structured Lean proofs, rewriting, induction, paired tactic styles. Lean 4.33.0 / mathlib v4.33.0.

Categorical Backend Experiment: QBE-derived compiler IR lab for semantic provenance and proof artifacts

Formal core of the Fulcrum governance kernel: Lean 4 proofs, claim ledger, and theorem inventory.