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Content archived on 2024-05-30

Structural Analysis of Mathematical Proofs

Objective

Proof Theory is the branch of mathematical logic that investigates formal proof systems modelling mathematical reasoning. There are different types of proof systems, each having its own advantages and disadvantages. A certain class of proof systems (Gentzen-type systems) has the interesting property of exhibiting a geometric structure in proofs. Logical and proof-theoretic problems that are formulated in the context of these systems are thus susceptible to analysis by geometric and combinatorial methods. The recent years have seen a development of a great variety of such methods by different communities. The aim of the proposed project is the application of these geometric and combinatorial techniques to logical problems in proof theory. The proof-theoretic problems have been carefully selected in order to lend themselves well to the analysis by these methods. The scientific impact of this project will be twofold: On the one hand, the solutions of the problems will be of importance for proof theory and the foundations of mathematics in their own right. On the other hand, the combined application of combinatorial methods from different traditions will have a unifying effect on them, leading towards a general theory of proofs as combinatorial structures.

Fields of science (EuroSciVoc)

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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.

Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

FP7-PEOPLE-IEF-2008
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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.

MC-IEF - Intra-European Fellowships (IEF)

Coordinator

Université Paris Diderot-Paris 7
EU contribution
€ 157 279,59
Address
Rue Thomas Mann
F-75205 / 13 Paris
France

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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.

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