Project description
A new era of formal proofs
The mathematical landscape is evolving, with an increasing need for rigorous, computer-verified proofs. As landmark achievements, such as Hales’ verification of the Kepler conjecture, gain traction, the demand for formal proofs in both the software and hardware industries is growing. Simultaneously, the emergence of Web3 represents a paradigm shift in data handling and collaboration, emphasising decentralisation and interconnectivity. This convergence highlights the urgent need for a collaborative platform that bridges mathematicians, researchers, and businesses. The ERC-funded FormalWeb3 project addresses this challenge by developing a platform for formal proofs. It will connect diverse stakeholders while integrating advanced verification, AI, and auto-formalisation tools to create computer-understandable proofs. FormalWeb3 aims to enhance the verification process.
Objective
Mathematics is today on the verge of a revolution. Formal, computer-verified proofs become ubiquitous and largely adopted as the new means of communication and collaboration. This led to landmark proofs, such as Hales's verification of the Kepler conjecture and Scholze's condensed mathematics recently validated by computers, generating considerable momentum in the mathematical community. Simultaneously, there is growing industrial demand for formal proofs of software and hardware. Similarly, Web3 constitutes a transformation of how data and collaboration are realized in a decentralized, intelligent, and interconnected way.
In this project, we will develop a Web3 platform for formal proofs, designed to establish connections between mathematicians, researchers in formalization, communities, and businesses. This platform will also integrate state-of-the-art verification, AI, and autoformalization tools to assist in the creation of computer-understandable proofs. The proposed work will include the development of a Wiki for formal mathematics with integrated blockchain-based tokens that reward users for their contributions. We will provide translations for various logics and proof systems, and investigate the safety and security of the protocols. On the business side, we will conduct market research, engage potential customers, clarify intellectual property rights and formulate licensing solutions.
The project builds on the success of our ERC project SMART, where we have already developed software that harnesses artificial intelligence for advanced logical reasoning and proposed novel approaches to decentralizing proof verification using blockchain technology. In the current proof of concept project, we aspire to expand these software capabilities into a holistic Web3 platform that will serve as a collaborative hub, enabling diverse stakeholders to collaboratively address practical verification and formalization challenges while rewarding users for their contributions.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences computer and information sciences software
- natural sciences computer and information sciences computer security cryptography
- social sciences political sciences political transitions revolutions
- natural sciences mathematics
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.1 - European Research Council (ERC)
MAIN PROGRAMME
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-ERC-POC - HORIZON ERC Proof of Concept Grants
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) ERC-2023-POC
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
6020 Innsbruck
Austria
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.