Skip to main content
European Commission logo
English English
CORDIS - EU research results
CORDIS
CORDIS Web 30th anniversary CORDIS Web 30th anniversary
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.

Call for proposal

FP7-PEOPLE-IEF-2008
See other projects for this call

Coordinator

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

See on map

Activity type
Higher or Secondary Education Establishments
Administrative Contact
Muriel Maurice (Ms.)
Links
Total cost
No data