arXiv:2607. 21191v1 Announce Type: cross Abstract: Event-B is a formal method rooted in predicate logic and set theory.
Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at arXiv AI.
arXiv:2607. 21192v1 Announce Type: cross Abstract: ProB is a Prolog-based model checker, animator and constraint solver for high-level formal specifications.
HybridProver is a unified framework that combines whole-proof synthesis and tactic-based generation using proof sketches as an intermediate representation. Implemented in Isabelle/HOL, it employs two 7B-scale LLMs trained on optimized Isabelle datasets. On the miniF2F Isabelle benchmark, HybridProver achieved a 73.8% success rate, surpassing the previous state of the art of 61.9%, and ablation studies examined the effects of dataset quality, training settings, and sampling strategies.
arXiv:2605. 20531v2 Announce Type: replace-cross Abstract: Reliable verification of proofs remains a bottleneck for training and evaluating AI systems on hard mathematical reasoning.
Scratchy introduces a visual-scratchpad method for generating cryptographic proofs in EasyCrypt by converting natural-language security descriptions into a typed proof-relation graph and then into a visual proof state that guides multimodal language models. The approach exposes implicit proof-theoretic dependencies that LLMs struggle with, enabling clearer coordination of probability, adversarial games, invariants, assumptions, and bounds. Scratchy-eval, a 114-task dataset from official EasyCrypt files, demonstrates that classical LLMs achieve significant gains when using these structured visual proof states.
arXiv:2607. 09217v1 Announce Type: new Abstract: In this system paper, we present OpenProver, an open-source system for LLM-driven automated theorem proving (ATP) with integrated Lean 4 formal verification.
arXiv:2608. 06399v1 Announce Type: cross Abstract: Datalog rules are often used to define ontologies over Knowledge Graphs.