Objective
Non-deterministic multi-valued matrices (Nmatrices) are a new field of research rapidly developing towards a foundational logical theory. The idea of Nmatrices is in extending the usual algebraic deterministic semantics of logical systems by importing the idea of non-deterministic computations from Computer Science, and allowing the truth-value of a formula to be chosen non-deterministically out of a given set of options. The goal of the proposed project is to extensively develop the semantic framework which is provided by the idea of Nmatrices. This includes developing a foundational methodology for providing modular non-deterministic semantics for non-classical logics, and exploring its applications in the following directions: - Proof Theory: using Nmatrices to characterize cut-elimination and other important syntactic phenomena in various analytic calculi, including substructural calculi and hypersequents. - Automated Deduction: automatizing deduction in non-deterministic logics by extending the multi-valued expert system MULtlog, developed by the host group. - Approximating Logics: investigating effective approximations of logics using finite multi-valued Nmatrices. - Non-deterministic Fuzzy Logic: developing new non-deterministic foundations for fuzzy logics based on Nmatrices and exploring their applications.
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 mathematics pure mathematics discrete mathematics mathematical logic
- natural sciences computer and information sciences artificial intelligence expert systems
- natural sciences computer and information sciences artificial intelligence computational intelligence
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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.
FP7-PEOPLE-2009-IEF
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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.
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.