Tootfinder

On the Formal Metatheory of the Pure Type Systems using One-sorted Variable Names and Multiple Substitutions
Sebasti\'an Urciuoli (Universidad ORT Uruguay)
https://arxiv.org/abs/2510.12300

On the Formal Metatheory of the Pure Type Systems using One-sorted Variable Names and Multiple Substitutions
We develop formal theories of conversion for Church-style lambda-terms with Pi-types in first-order syntax using one-sorted variables names and Stoughton's multiple substitutions. We then formalize the Pure Type Systems along some fundamental metatheoretic properties: weakening, syntactic validity, closure under alpha-conversion and substitution. Finally, we compare our formalization with others related. The whole development has been machine-checked using the Agda system. Our work demonstrate…

Eagles make a change to get winning formula back on track: Will philosophical shift produce wins?

https://www.cbssports.com/nfl/news/eagles-make-a-change-to-get-winning-for…

The Japanese government says it formally requested that OpenAI refrain from infringing on Japanese IPs, such as anime, calling them "irreplaceable treasures" (Verity Townsend/IGN)

Japanese Government Calls on Sora 2 Maker OpenAI to Refrain From Copyright Infringement, Says Characters From Manga and Anime Are 'Irreplaceable Treasures' That Japan Boasts to the World - IGN
The Japanese government has made a formal request asking OpenAI to refrain from copyright infringement. This comes as a response to Sora 2’s ability to generate videos featuring the likenesses of copyrighted characters from anime and video games.

Formal Models and Convergence Analysis for Context-Aware Security Verification
Ayush Chaudhary
https://arxiv.org/abs/2510.12440 https://arxiv.org/pdf/2510.…

Formal Models and Convergence Analysis for Context-Aware Security Verification
We present a formal framework for context-aware security verification that establishes provable guarantees for ML-enhanced adaptive systems. We introduce context-completeness - a new security property - and prove: (1) sample complexity bounds showing when adaptive verification succeeds, (2) information-theoretic limits relating context richness to detection capability, (3) convergence guarantees for ML-based payload generators, and (4) compositional soundness bounds. We further provide a formal…

Beyond Postconditions: Can Large Language Models infer Formal Contracts for Automatic Software Verification?
Cedric Richter, Heike Wehrheim
https://arxiv.org/abs/2510.12702 http…

Beyond Postconditions: Can Large Language Models infer Formal Contracts for Automatic Software Verification?
Automatic software verifiers have become increasingly effective at the task of checking software against (formal) specifications. Yet, their adoption in practice has been hampered by the lack of such specifications in real world code. Large Language Models (LLMs) have shown promise in inferring formal postconditions from natural language hints embedded in code such as function names, comments or documentation. Using the generated postconditions as specifications in a subsequent verification, ho…

Functional Reasoning for Distributed Systems with Failures
Haobin Ni, Robbert van Renesse, Greg Morrisett
https://arxiv.org/abs/2510.12131 https://arxiv.or…

Functional Reasoning for Distributed Systems with Failures
Distributed system theory literature often argues for correctness using an informal, Hoare-like style of reasoning. While these arguments are intuitive, they have not all been foolproof, and whether they directly correspond to formal proofs is in question. We formally ground this kind of reasoning and connect it to standard formal approaches through language design and meta-analysis, which leads to a functional style of compositional formal reasoning for a class of distributed systems, includin…

The Japanese government says it formally requested that OpenAI refrain from infringing on Japanese IPs, such as anime, calling them "irreplaceable treasures" (Verity Townsend/IGN)

Japanese Government Calls on Sora 2 Maker OpenAI to Refrain From Copyright Infringement, Says Characters From Manga and Anime Are 'Irreplaceable Treasures' That Japan Boasts to the World - IGN
The Japanese government has made a formal request asking OpenAI to refrain from copyright infringement. This comes as a response to Sora 2’s ability to generate videos featuring the likenesses of copyrighted characters from anime and video games.

The Motivic Picard--Lefschetz Formula
Ran Azouri, Emil Jacobsen
https://arxiv.org/abs/2510.12762 https://arxiv.org/pdf/2510.12762

The Motivic Picard--Lefschetz Formula
We prove a motivic enhancement of the classical Picard--Lefschetz formula. Our proof is completely motivic, and yields a description of the motivic nearby cycles at a quasi-homogeneous singularity, as well as its monodromy, in terms of an embedding of projective hypersurfaces.

Bundesregierung: "Smart Meter Light" für Kleinhaushalte aktuell nicht machbar
Der Ruf von Petenten, Kleinspeicher in Mietwohnungen mit abgespeckten intelligenten Stromzählern auszurüsten, lässt sich derzeit wegen Formalien nicht umsetzen.

GAR: Generative Adversarial Reinforcement Learning for Formal Theorem Proving
Ruida Wang, Jiarui Yao, Rui Pan, Shizhe Diao, Tong Zhang
https://arxiv.org/abs/2510.11769 https://

GAR: Generative Adversarial Reinforcement Learning for Formal Theorem Proving
Solving math problems through verifiable languages such as Lean has significantly impacted both the mathematics and computer science communities. Current state-of-the-art models are often trained with expensive online Reinforcement Learning (RL) or expert iteration. However, these approaches rely on fixed problem sets, which causes inefficient training and limits the model to tackle complex problems. To overcome these limitations, we propose GAR: Generative Adversarial Reinforcement learning, a…