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Connection Science

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AISB opportunities Bulletin Item

Postdoctoral position in mathematical logic, Utrecht, THE NETHERLANDS

Postdoc position in Mathematical Logic at Utrecht University, the

A one year postdoc position in Mathematical Logic is available at the 
Department of Philosophy of Utrecht University in The Netherlands. The 
position is part of the research project "The power of constructive 
proofs", which is a five year project on proof theory and constructive 
mathematics, funded by the Netherlands Organisation for Scientific 
Research. Below is a description of the project.

We are looking for a talented and dedicated researcher with a PhD in 
mathematics or computer science. The research carried out in the project 
belongs to the area of mathematical logic, and the applicant should have a 
background in this field. A background in proof theory or algebraic logic 
is highly recommended.

The deadline for applications is May 1, 2014.

For more information about the project and application procedure, please 
(Item "Postdoc position in Mathematical Logic")

Description of the project:

Constructive mathematics is the part of mathematics that is concerned with 
explicit constructions. Research in this area roughly falls into two 
categories: the development of mathematics according to constructive 
principles, and the study of constructive theories in general. This 
project falls in the second category. It focuses on the structure of 
constructive proofs. Constructive proofs appear everywhere in mathematics, 
and, because of their computational content, are increasingly relevant in 
this era of computing. The project aims to find and explain the 
characteristics of such proofs. It thus approaches constructive 
mathematics from the proof-theoretic point of view, and tries to establish 
which and in which way properties of proofs, such as for example 
skolemization and unification, change when moving from a classical to a 
constructive context. Thus this is a project in proof theory, with 
connections to various other areas in mathematical logic.