Introduction by Stergios Chatzikyriakidis and Zhaohui Luo -- Part I. Foundational Issues -- Context-Passing and Underspecification in Dependent Type Semantics by Daisuke Bekki and Koji Mineshima --  On the Interpretation of Common Nouns: Types v.s. Predicates by Stergios Chatzikyriakidis and Zhaohui Luo -- Adapting Type Theory with Records for Natural Language Semantics by Robin Cooper -- Generalized Quantifiers on Dependent Types: A System for Anaphora Language Semantics by Justyna Grudzińska and Marek Zawadowski -- Part II. Types and Applications -- Types, Meanings and Co-composition in Lexical Semantics by Nicholas Asher, Marta Abrusan and Tim van de Cruys -- Classifiers, Sorts, and Base Types in the Montagovian Generative Lexicon and Related Type Theoretical Frameworks for Lexical Compositional Semantics by Bruno Mery and Christian Retoré -- Probabilistic Record Type Lattices for Incremental Reference Processing by Julian Hough and Matthew Purver -- Intensions, Types and Finite-state Truthmaking by Tim Fernando -- Part III. Implementational Aspects -- The Grail Theorem Prover: Type theory for Syntax and Semantics by Richard Moot -- Probability Distributions in Type Theory with Applications in Natural Language Syntax by Krasimir Angelov.