=============================================== Homotopy Type Theory: Programming and Verification 2 PostDocs, each 4 Years Universities of Strathclyde and Nottingham Applications are invited for two postdocs and one PhD student to work on the recently funded EPSRC grant "Homotopy Type Theory: Programming and Verification" obtained by Professor Neil Ghani and Dr Conor McBride (University of Strathclyde), Dr Thorsten Altenkirch (University of Nottingham) and Dr Nicola Gambino (University of Leeds). One postdoc and will work on more theoretical aspects of the project in Nottingham, while the other postdoc will work on implementation issues in Strathclyde. Nevertheless, the reality is that we will be working as a team with frequent visits expected between ourselves and our collaborators. Homotopy Type Theory (HoTT) is a revolutionary new approach to type theory where types are interpreted as spaces, terms as points and equalities as paths. Decades of research in homotopy theory has uncovered the structure of such paths and HoTT uses this structure as the basis of a new theory of equality. Excitingly, within homotopy theory, one naturally studies higher homotopies of paths between paths and this gives the higher dimensional structure of equality we previously lacked. The objective of this grant is to translate the advances of HoTT into more concrete programming language and verification tools. For more details, please email Neil Ghani (ng@cis.strath.ac.uk<mailto:ng@cis.strath.ac.uk>) Conor McBride (conor.mcbride@strath.ac.uk<mailto:conor.mcbride@strath.ac.uk>) Thorsten Altenkirch (Thorsten.Altenkirch@nottingham.ac.uk<mailto:Thorsten.Altenkirch@nottingham.ac.uk>) Nicola Gambino (n.gambino@leeds.ac.uk<mailto:gambino@leeds.ac.uk>) [For admin and other information see: http://www.mta.ca/~cat-dist/ ]