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Extraction and Search in Rocq: Theorems, Definitions and Their dependencies

Announce Type: new Abstract: Rocq (Coq) are now widely used in various fields, including software verification and mathematical proofs. When proving a new theorem, users often need to search and apply proven theorems to assist the current proof process. However, the current search command is limited to the environment of imported modules and cannot search for theorems outside of this scope.

arXiv CS 6d ago

From Rocq to Metal: A Pipeline for Formally Verified Microcontroller Firmware

arXiv:2606.02651v1 Announce Type: new Abstract: Enforcing invariants in safety-critical systems is increasingly urgent as AI-generated code becomes widespread. Unfortunately, the runtimes required to support high-level specification languages are too large for most embedded targets. In this article, we show how formally verified firmware is achievable today.

arXiv CS 7d ago

Modelling and Verifying Neuronal Archetypes in Rocq

Announce Type: replace Abstract: Formal verification has become increasingly important because of the kinds of guarantees that it can provide for software systems. Verification of models of biological and medical systems is a promising application of formal verification. Human neural networks have recently been emulated and studied as a biological system.

arXiv CS 8d ago

ProofWala: A Framework for Multilingual Proof Data Synthesis and Theorem-Proving

arXiv:2502.04671v3 Announce Type: replace Abstract: Neural approaches to theorem proving require robust infrastructure for interfacing with interactive theorem provers (ITPs), extracting structured proof data, and executing proof search at scale. However, existing tooling is often assistant-specific and oriented toward file-level execution, making repository-scale analysis and parallel experimentation challenging. We present ProofWala, a multilingual proof engineering framework built around...

arXiv CS 9d ago