This book is a collective volume that reports the state of the art in the applications of type theory to linguistic semantics. The volume fills a 20 year gap from the last published book on the issue and aspires to bring researchers closer to cutting edge alternatives in formal semantics research. It consists of unpublished work by some key researchers on various issues related to the type theoretical study of formal semantics and further exemplifies the advantages of using modern type theoretical approaches to linguistic semantics. Themes that are covered include modern developments of type theories in formal semantics, foundational issues in linguistic semantics like anaphora, modality and plurals, innovational interdisciplinary research like the introduction of probability theory to type theories as well as computational implementations of type theoretical approaches. This volume will be of great interest to formal semanticists that are looking for alternative ways to study linguistic semantics, but will also be of interest to theoretical computer scientists and mathematicians that are interested in the applications of type theory.
This book is a collective volume that reports the state of the art in the applications of type theory to linguistic semantics. The volume fills a 20 year gap from the last published book on the issue and aspires to bring researchers closer to cutting edge alternatives in formal semantics research. It consists of unpublished work by some key researchers on various issues related to the type theoretical study of formal semantics and further exemplifies the advantages of using modern type theoretical approaches to linguistic semantics. Themes that are covered include modern developments of type theories in formal semantics, foundational issues in linguistic semantics like anaphora, modality and plurals, innovational interdisciplinary research like the introduction of probability theory to type theories as well as computational implementations of type theoretical approaches. This volume will be of great interest to formal semanticists that are looking for alternative ways to study linguistic semantics, but will also be of interest to theoretical computer scientists and mathematicians that are interested in the applications of type theory.
Offers original interdisciplinary work on type theoretical semantics at the junction of linguistics, logic and computer science Covers both theoretical and implementational apsects Introduces cutting edge alternatives in formal semantics research Includes supplementary material: sn.pub/extras
Stergios Chatzikyriakidis
Anaphora Computation in natural language context Computational semantics Formal semantics Generalized Quantifiers on dependent types Grail theorem prover Lexical semantics Natural language semantics Type theory Type-logical grammars Unbound anaphora
“The papers of this collection illustrate how grammar-as-logic paradigms can be extended to match the rich expressivity of natural language, making use of Martin-Lӧf’s Type Theory, with its dramatically liberal concept of dependent typing. The authors vividly demonstrate the excitement of this research frontier, taking different sides in controversies such as: whether the underlying form of explanation should be semantic (model-theoretic) or syntactic (proof-theoretic); how to model the shifting nature of lexical content within a formal grammar; in what way such explanations should reflect the dynamics of language in use; with due care taken to provide the background needed for the general reader to get a sense of why these disputes remain of foundational importance. This volume is thus a must both for anyone interested in following current disputes in formal/computational linguistics, and for advanced linguistics students.” (Ruth Kempson, Emeritus Professor of Linguistics, King’s College London, UK)