Objective
Research objectives and content
The project concerns the domain of Finite Model Theory. A major issue of this domain is the possibility to define complexity measures (for, say, database queries) by means of the logical resources needed to define a given query, and to use them for a fine analysis of computational complexity classes, such as NP.
Here, an investigation of the query classes definable in existential second order logic (that is, NP) with function variables is intended. A first line of research will handle with the hierarchy based on the number of function variables, related to the complexity class nondeterministic linear time. A second line will investigate the monadic theory of square grids, that is existential monadic second order logic with a built-in system of two unary functions. This research could contribute to resolve open problems on the fine structure of NP.
Proof methods are Ehrenfeucht-Fraisse games for first order logic with Henkin quantifiers. and finite automata working on grids (instead of words).
Training content (objective, benefit and expected impact)
This project continues the applicant's actual research, and tries to solve questions left open so far. Two new potential proof methods - automata theory and Henkin quantifiers - are to be considered. Further results can potentially be obtained with their help.
Links with industry / industrial relevance (22)
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: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences computer and information sciences databases
- natural sciences mathematics pure mathematics discrete mathematics mathematical logic
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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.
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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.
Coordinator
1040 Wien
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.