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Model Checking modulo Strong Proof Systems

Project description

Harnessing strong proofs for reliable computing

Ensuring that computerised systems operate correctly is essential for modern life, yet automatic verification remains a significant technical challenge. While model checking verifies correctness by searching for proofs, powerful proof systems are often too complex for computers to navigate efficiently. The ERC-funded StrongMC project aims to address this by developing algorithms that use robust proof systems, enabling much shorter proofs. The project will focus on integrating these systems into decision procedures and creating algorithms based on the extended resolution system, while assessing their performance. Ultimately, the project seeks to establish a new theoretical foundation that makes model checking more practical, fostering its widespread adoption and improving technological reliability.

Objective

Ensuring that computerized systems adhere to their specifications is of paramount importance to our everyday life. Model Checking (MC) is an automatic formal verification technique for establishing a system’s correctness. Given a model and a specification, it can construct a proof of whether the specification is valid in that model or not.

Proof systems provide formal proof for the validity of a statement under a given set of axioms and are a powerful tool when applying logic in automated reasoning. MC can be viewed as a proof-search algorithm that operates in some proof system.

While MC is widely used in the industry to rigorously establish correctness of computerized systems, its application remains a challenge due to the complexity of implementing efficient proof-search algorithms that construct proofs automatically.

The goal of StrongMC is to develop the theory and algorithms to enable the use of strong proof systems, which admit short proofs, in model checking.

There is an inherent trade-off between the strength of a proof system and the ability to implement an efficient proof-search algorithm for it. As the strength of the proof system increases, so does the size of the search space, making proof-search algorithms intractable and hence our goal is ambitious and challenging. Yet, based on our preliminary results, we conjecture that strong proof systems can be used efficiently in model checking. By probing three thrusts, we aim to tackle this challenge: (1) use decision procedures that utilize strong proof systems in MC; (2) develop MC algorithms that are based on the Extended Resolution proof system; (3) Analyzing the complexity and efficiency of MC algorithms that use strong proof systems from both theoretical and practical points of view.

We expect the new theoretical foundation and the enhanced MC algorithms will lead to the widespread practical adoption of MC, while also having an important impact on many related fields in Formal Methods.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

(opens in new window) ERC-2025-COG

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Host institution

TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY
Net EU contribution
€ 2 000 000,00
Address
SENATE BUILDING TECHNION CITY
32000 Haifa
Israel
Activity type
Higher or Secondary Education Establishments
Links
Total cost
€ 2 000 000,00

Beneficiaries (1)