AISB opportunities Bulletin Item
Postdoctoral position in mathematical logic, Utrecht ,THE NETHERLANDS
A two 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 January 15, 2012. For more information on the project and application procedure, please visit http://www.uu.nl/NL/Informatie/sollicitanten/Pages/Vacatures.aspx 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.