Project description
Enabling the future of computer assisted Automated Reasoning
Among the many fields of modern Automated Reasoning (AR) and AI, the automation of complex mathematical reasoning, a key aspect of most sciences and technology, is among the biggest challenges. In contrast to human experts, the AR and theorem-proving paradigms are mostly one-sided, lacking the ability to combine reasoning, conjecture, and learning in complex feedback loops that are expected to be key in the next generation of AR systems for mathematics. The ERC-funded NextReason project aims to design new AI approaches, innovative methods, autonomous systems and revolutionary logic-aware learning architectures and neuro-symbolic methods which will enable the next generation of AR systems.
Objective
Galileo said that mathematics is the language of science. It is used to solve arbitrary abstract problems, underpinning hard sciences, technology and engineering. Automation of complex mathematical reasoning, discovery and large-scale formal proofs is today one of the greatest challenges in the fields of Automated Reasoning (AR) and Artificial Intelligence (AI).
Compared to human experts, today’s main automated reasoning and theorem proving paradigms are severely one-sided: they largely lack the capability to combine learning, reasoning and conjecturing in complex feedback loops. There is solid evidence that such combinations are the key to building the next generation of advanced reasoning systems for mathematics, computer-assisted proof and formal verification.
The NextReason project will create one of the world’s strongest teams working on such combinations. We will jointly develop
(i) logic-aware learning architectures and neuro-symbolic methods for a range of automated and interactive theorem proving paradigms,
(ii) novel AI approaches for learning-guided automated decomposition of hard reasoning problems,
(iii) methods for automated formalization of human-written mathematics by combining learning-based translation methods with semantic methods such as type-checking and theorem proving,
(iv) neuro-symbolic methods for synthesis of interesting mathematical objects, conjectures and explanations, and
(v) autonomous systems and positive feedback loops interleaving learning, theory exploration and efficiently guided proof search to attack hard and open problems.
The expected overall outcome is a new generation of strong architectures for reasoning and theorem proving, and their transformative effect on large-scale computer-assisted proof, mathematics and formal verification.
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.
This project's classification has been human-validated.
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.
This project's classification has been human-validated.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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)
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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 - HORIZON ERC 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-2024-ADG
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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.
405 30 Goeteborg
Sweden
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.