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Streamlining Proof Integration Through Elaboration on Demand

Project description

Streamlining proof integration through elaboration on demand

Automated reasoning systems are increasingly used to verify software and mathematical correctness, but ensuring their results are trustworthy and verifiable is not always easy. Supported by the Marie Skłodowska-Curie Actions programme, the Panproof project will develop a framework to translate proof certificates into certificates that use standard proof rules. To achieve this, it will study commonly used proof rules and generate a unified set of reusable rules to allow interoperability across different systems. Overall, the project’s goal is to simplify and scale the integration of automated reasoning into formal verification workflows, helping to accelerate software verification and improve system safety.

Objective

Automated reasoning (AR) systems, such as Satisfiability Modulo Theory (SMT) solvers and theorem provers, decide verification conditions without human interaction. However, formal verification systems need
irrefutable assurance that the answer of the AR system is correct. To provide this assurance, AR systems produce proof certificates that can be replayed in proof assistants, or checked by formally verified
proof checkers. Unfortunately, the adaption of proof certificates is limited, because the implementation of verified proof checkers and proof replay pipelines is labor intensive. The Panproof project tackles this problem by elaborating proof rules specific to an AR system to standard proof rules. This allows proof consumers to support multiple AR systems by only implementing the standard rules. To control proof size growth, the consumer can control which rules should be elaborated. For example, if a system specific rule is common, the consumer could implement support for it so that elaboration is not needed. Panproof represents proof rules with three components: a function that computes the conclusions of steps, a function that elaborates steps, and a mechanized proof that these two functions are equivalent. Since Panproof will be implemented in Agda, a consequence of the equivalency proof is that Panproof can also be used as a formally verified proof checker. The Panproof project will develop programming techniques to implement the elaboration functions and the equivalence proofs. It will also develop a library of standard rules based on empirical studies of the proof rules used by real-world AR systems, and will integrate with multiple AR systems and consumers. Overall, Panproof will make it easier to integrate AR systems in verification pipelines. This will make it faster to verify software systems, and ultimately result in safer software.

Fields of science (EuroSciVoc)

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Programme(s)

Topic(s)

Funding Scheme

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

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Call for proposal

(opens in new window) HORIZON-MSCA-2025-PF

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Coordinator

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
Net EU contribution
€ 226 420,56
Address
DOMAINE DE VOLUCEAU ROCQUENCOURT
78153 Le Chesnay Cedex
France
Region
Ile-de-France Ile-de-France Yvelines
Activity type
Research Organisations
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Total cost
No data