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Reinforcement learning to improve proof-automation in theorem proving

Objective

Developing generic proof automation methods for interactive theorem provers (ITPs) is challenging but valuable. Applications range from performance improvements in the verification of safety-critical systems to the certification of famous, long, and hard-to-prove theorems. We propose using recently successful reinforcement learning (RL) algorithms to learn proof strategies employed in vast ITP libraries and use them as generic methods to automate the ITP proving process. Specifically, the project aims to create a tactic for one of the most popular and automated ITPs, Isabelle/HOL, and train the RL algorithms with theorems from the two largest Isabelle libraries: HOL-Library and the Archive of Formal Proofs (AFP). We identify three gaps in the state of the art that such an RL-and-Isabelle approach would close and describe the work packages that will achieve the corresponding three research objectives. The project will be done under the guidance of Dr Josef Urban, who holds a Distinguished Researcher position at the Czech Institute of Informatics, Robotics and Cybernetics (CIIRC) within the Czech Technical University (CTU) in Prague. Dr Urban and the CIIRC group are experts in integrating machine learning (ML) and interactive theorem proving. Their infrastructure and expertise targeted to ML and ITPs provide the best research environment for this project. Jonathan Julián Huerta y Munive, the researcher carrying out the project, complements this expertise with his Isabelle/HOL experience and knowledge of ITP applications.

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Keywords

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Programme(s)

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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.

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.

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) HORIZON-MSCA-2022-PF-01

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Coordinator

CESKE VYSOKE UCENI TECHNICKE V PRAZE
Net EU contribution

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.

€ 166 278,72
Address
JUGOSLAVSKYCH PARTYZANU 1580/3
160 00 PRAHA
Czechia

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Region
Česko Praha Hlavní město Praha
Activity type
Higher or Secondary Education Establishments
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Total cost

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.

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