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Institute for Computational and Experimental Research in Mathematics

A large community of pure mathematicians has recognized the importance of formal verification in modern mathematics and is looking forward to systems like Lean becoming an everyday tool in research. At the same time, automated theorem proving has recently become popular in the machine learning community as a benchmark and stepping stone for the more general task of automated reasoning. The goal of this workshop is to bring these communities together. We will have talks and tutorials that introduce mathematicians to Lean and to state-of-the-art technologies in automated theorem proving. We will also discuss future research directions, tooling, and other ways to make this technology more useful to working mathematicians. Our medium-term goal is to initiate an effort in the mathematical community to develop a well-aligned dataset that can be used to benchmark models for tasks that are close to the use cases of working mathematicians. The first afternoon of the workshop will be a hackathon whose goal is to create tools that will aid mathematicians in this dataset creation.

ICERM Program Staff;     Email: info@icerm.brown.edu

Lean, automated theorem proving, proof, verification, machine learning

Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH

The Dagstuhl Seminar aims to advance the state of the art in the integration of proof logging with symbolic solvers, and to establish deeper contacts between different research communities working on certifying algorithms where interaction has previously been quite limited or non-existent. The intention is to achieve this broad goal by assembling stakeholders in the SAT, CP, MIP, SMT, ATP, and other closely related communities, including leading researchers in the areas of solver development, deployment of solver tools in applications, and design of proof logging techniques.

Isaac Newton Institute for Mathematical Sciences

The 2025 Big Proof workshop is a follow-up to the successful 2017 Big Proof programme at the INI and the 2019 follow-up workshop at ICMS. Since these workshops, there has been an explosion of work in the large-scale formalization of mathematics with spinoff activity targeting mathematical models in other fields. The 2025 Workshop is an opportunity to exchange experiences and ideas and craft a forward-looking research roadmap. The workshop will focus on pragmatic foundations, scalable proof automation, tradeoffs between expressiveness and automation, interchange formats, indexable digital libraries, the role of machine learning in proof, social aspects of digital mathematics, and broader applications of proof technology. We hope to build on the enthusiastic response to prior Big Proof events to plan and launch major initiatives around the large-scale formalization of mathematical knowledge.

Simons Laufer Mathematical Sciences Institute (SLMath)

Computer assisted proofs are at the forefront of modern mathematics, and have led to many important recent mathematical advances. They provide a way of melding analytical techniques with numerical methods, in order to provide rigorous statements for mathematical models that could not be treated by either method alone. In this summer school, students will review standard computational and analytical techniques, learn to combine these techniques with more specialized methods of interval arithmetic and automatic differentiation, and apply these methods to establish rigorous results in otherwise intractable problems.

Kurse und Veranstaltungen für Studenten der Mathematik,    Angewandte Mathematik (allgem.)