Objective
The study of different semantics is actually the study of the very objects of mathematics the logic is related to. What we call today `Gödel logics' was developed from and for the analysis of very different mathematical objects: The real numbers, Kripke frames, and Heyting algebras. Purpose of this project is the relations between these semantics.
The semantics based on subsets of the real interval [0,1] is concerned with the topological and order-theoretic properties of the reals, and the expressiveness of first order language with respect to these properties. Kripke frames form the prime semantics for Intuitionistic Logic and Modal Logics. Kripke frames also can be considered as a semantic for Gödel logics as well as temporal logics. Algebraic semantics based on special Heyting algebras are concerned with special instances of lattices.
In his work, Hajék considered t-norm based logics as the foundation of fuzzy logics. Up to now these different semantics have hardly influenced each other, techniques applied in the one haven't found their way into the other. After first approaches in connecting these semantics and transferring results there and back again we aim at a unified treatment of the relation between these semantics, their respective embeddability and representability, and in a detailed exposition of the differences of these semantics.
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.
- natural sciences mathematics pure mathematics algebra
- natural sciences computer and information sciences artificial intelligence computational intelligence
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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.
FP6-2004-MOBILITY-11
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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
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.