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February 26, 2012

Types, Homotopy and Univalent Foundations: Special Issue

Posted by Tom Leinster

Been thinking about the interaction between type theory and homotopy theory? Got a paper you want to write? Already written your masterpiece, but looking for somewhere to submit it?

Here’s news from Nicola Gambino of a special issue of Mathematical Structures in Computer Science devoted to such things. Details below the fold.

(And in case you’re wondering, that’s not an Elsevier journal: it’s published by those nice people at Cambridge University Press.)

  • Call for papers
  • Mathematical Structures in Computer Science — special issue
  • “From Type Theory and Homotopy Theory to Univalent Foundations”
  • Deadline for submissions: December 31st, 2012

Background  Over the last few years, there has been significant progress in relating type theory with homotopy theory and higher-dimensional category theory. These advances have stimulated a new wave of research in type theory, in which ideas of mathematical logic and theoretical computer science are often combined with geometric intuition in an original way.

In particular, the Univalent Foundations programme formulated by Vladimir Voevodsky seeks to develop a new approach to the foundations of mathematics on the basis of type theories that combine the good computational properties of Martin-Löf type theories and the Calculus of Inductive Constructions with new axioms inspired by homotopy theory, such as the Univalence Axiom.

Aims and scope  The aim of the special issue is to provide a comprehensive and timely account of the state of the art in this new area of research, thus providing a basis for future developments.

We welcome submissions from participants in the several conferences and workshops on these topics that are occurring this year or have occurred in the past few years.

Topics of interest include, but are not limited, to:

  • homotopical semantics of type theories
  • semantics of type theories in higher categories
  • syntactic and semantic aspects of identity types
  • syntactic and semantic aspects of the Univalence Axiom
  • development of Univalent Foundations
  • related issues and challenges in computer-assisted proof-checking
  • representation of homotopical and higher categorical structures in type theory
  • related applications of polynomial/container functors.

Submission  The deadline for submissions is December 31st, 2012.

Papers should be submitted as pdf attachments with an email to one of the editors.

Editors  The special issue will be edited by:

Posted at February 26, 2012 7:05 PM UTC

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