Type theory has been a central area of research in logic, the semantics of pro- gramming languages, and natural language semantics over the past fifty years. Recent developments in type theory have been used to reconstruct the formal foundations of computational semantics (Ranta (1994), Fox and Lappin (2005), Ginzburg (2012), Retore (2012), Cooper (2012), Cooper et al. (2013)). These theories are generally intensional and polymorphic in character, and they al- low for structured, fine-grained encoding of information across a diverse set of linguistic domains. The work in this area has opened up new approaches to modeling the rela- tions between, inter alia, syntax, semantic interpretation, dialogue, inference, and cognition, from a largely proof theoretic perspective. The proposed workshop will provide a forum for the presentation of leading edge research in this fast developing subeld of computational linguistics. To the best of our knowledge it will be the first major conference on this topic hosted by the ACL.