Objective
The theory of games played on graphs provides the mathematical foundations to study numerous important problems in branches of mathematics, economics, computer science, biology, and other fields. One key application area in computer science is the formal verification of reactive systems. The system is modeled as a graph, in which vertices of the graph represent states of the system, edges represent transitions, and paths represent behavior of the system. The verification of the system in an arbitrary environment is then studied as a problem of game played on the graph, where the players represent the different interacting agents. Traditionally, these games have been studied either with Boolean objectives, or single quantitative objectives. However, for the problem of verification of systems that must behave correctly in resource-constrained environments (such as an embedded system) both Boolean and quantitative objectives are necessary: the Boolean objective for correctness specification and quantitative objective for resource-constraints. Thus we need to generalize the theory of graph games such that the objectives can express combinations of quantitative and Boolean objectives. In this project, we will focus on the following research objectives for the study of graph games with quantitative objectives:
(1) develop the mathematical theory and algorithms for the new class of games on graphs obtained by combining quantitative and Boolean objectives;
(2) develop practical techniques (such as compositional and abstraction techniques) that allow our algorithmic solutions be implemented efficiently to handle large game graphs;
(3) explore new application areas to demonstrate the application of quantitative graph games in diverse disciplines; and
(4) develop the theory of games on graphs with infinite state space and with quantitative objectives.
since the theory of graph games is foundational in several disciplines, new algorithmic solutions are expected.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- social sciences economics and business economics
- natural sciences computer and information sciences
- natural sciences mathematics
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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.
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.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2011-StG_20101014
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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.
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.
Host institution
3400 KLOSTERNEUBURG
Austria
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.