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Formal Methods for Stochastic Models: Algorithms and Applications

Project description

Powerful new algorithms will reduce the impact of chance on predictability

If all of life’s outputs were fully determined by their inputs and the starting conditions, things would be a lot simpler. Fortunately, understanding situations and predicting outcomes when some inherent randomness plays a role has been simplified by stochastic models. As computing power increases together with available data for inputs across numerous disciplines, more powerful, robust and accurate algorithms are in high demand. The EU-funded ForM-SMArt project is tackling this important challenge, developing algorithmic approaches for formal methods to analyse stochastic models that will lead to enhanced utility of automated tools. The outcomes will be a breath of fresh air for fields from basic and applied mathematics and engineering to evolutionary biology and finance.

Objective

The formal analysis of stochastic models plays an important role in different disciplines of science, e.g. probability theory, evolutionary stochastic processes in biology. In computer science, such models arise in formal verification of probabilistic systems, analysis of probabilistic programs, analysis of game-theoretic interactions with stochastic aspects, reasoning about randomized protocols, etc. At the heart of the analysis methods are algorithmic approaches that lead to automated tools. Despite significant and impressive research achievements over the decades, many fundamental algorithmic problems related to formal analysis of stochastic models remain open. Moreover, the emergence of new technologies and the need to build more complex systems, require faster and scalable algorithmic solutions. The overarching theme of the project is algorithmic approaches for formal methods to analyse stochastic models. Our main research aims are:

(1) Finite-state models: Develop faster explicit and implicit algorithms, and establish conditional lower bounds, for finite-state probabilistic systems.
(2) Probabilistic programs: Develop efficient algorithmic approaches and practical techniques (e.g. compositional and abstraction techniques) for the analysis of probabilistic programs.
(3) Stochastic and evolutionary games: Develop algorithmic approaches related to stochastic games and evolutionary games, which bring together the two different fields of game theory.
(4) Application domains: Explore new application areas in diverse domains to demonstrate the effectiveness of the new algorithms developed.

The projects success will significantly enrich formal methods for analysis of stochastic models that are crucial in the development of robust and correct systems. Since stochastic models are foundational in several disciplines, the new algorithmic solutions are expected to lead to automated tools beneficial to other disciplines.

Keywords

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Programme(s)

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Topic(s)

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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.

ERC-COG - Consolidator Grant

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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) ERC-2019-COG

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Host institution

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
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.

€ 1 997 918,00
Address
Am Campus 1
3400 KLOSTERNEUBURG
Austria

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Region
Ostösterreich Niederösterreich Wiener Umland/Nordteil
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.

€ 1 997 918,00

Beneficiaries (1)

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