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Finite-state abstractions of infinite-state systems

Project description

Software testing based on finite-state systems

Determining what can programmes find out algorithmically about other programmes remains a fundamental question in theoretical computer science. By restricting the class of analysed programmes, recent studies have demonstrated a wide variety of methods for checking various important properties. Understanding how to restrict the analysed programmes is crucial in software verification as algorithms can be used to automatically check software correctness. However, designing models that can work with infinite-state systems to account for how the programme behaves for all possible inputs poses a challenge. The ERC-funded FINABIS project will investigate how to transform infinite-state systems into finite-state systems that preserve some pertinent aspects of the original system. Researchers will study two specific transformations: separability and closure problems.

Objective

The algorithmic analysis of infinite-state systems is a central topic
of theoretical computer science that is part of a popular approach to
software verification. While analyzing infinite-state systems is
indispensable when verifying software, finite-state sytems are far
better understood and permit much more efficient analysis. In this
project, I will pursue fundamental questions that arise when we want
to abstract infinite-state systems by finite-state systems. The goal
is to understand two types of problems:

1. Separability problems: Given two infinite-state systems, can we
find a finite-state overapproximation of the first system whose
behaviors are disjoint from those of the second system? Separability
is a basic task for synthesizing certificates for disjointness and
therefore safety properties in concurrent systems.

2. Closure computation. There are several non-constructive results
that guarantee the existence of finite-state overapproximations of
infinite-state systems that preserve some particular information. We
are interested in how to compute these overapproximations effectively
and efficiently. Examples include downward closures and upward
closures with respect to the (scattered) subword ordering. Efficient
procedures for closure computation would have immediate implications
for infinite-state verification tasks that combine recursion with
concurrency.


In addition to directly attacking well-known deep open problems
regarding these fundamental questions, the project will also develop
methods that will likely be crucial for resolving further major open
problems in infinite-state systems. Moreover, the obtained results
would have immediate implications for software verification in
settings that combine recursion with concurrency, which is a
notoriously difficult task.

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Topic(s)

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2022-STG

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Host institution

MAX-PLANCK-GESELLSCHAFT ZUR FORDERUNG DER WISSENSCHAFTEN EV
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.

€ 1 482 500,00
Address
HOFGARTENSTRASSE 8
80539 MUNCHEN
Germany

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Region
Bayern Oberbayern München, Kreisfreie Stadt
Activity type
Research Organisations
Links
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.

€ 1 482 500,00

Beneficiaries (1)

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