Modern Perspectives in Type-Theoretical Semantics
Modern Perspectives in Type-Theoretical Semantics

Author: Stergios Chatzikyriakidis

Publisher: Springer

Published: 2017-02-07

Total Pages: 297

ISBN-13: 3319504223

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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 It consists of unpublished work by some key researchers on various issues related to the type theoretical study of formal semantics and further exemplifies the advantages of using modern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.

Formal Semantics in Modern Type Theories
Formal Semantics in Modern Type Theories

Author: Stergios Chatzikyriakidis

Publisher: John Wiley & Sons

Published: 2021-02-17

Total Pages: 256

ISBN-13: 1786301288

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This book studies formal semantics in modern type theories (MTTsemantics). Compared with simple type theory, MTTs have much richer type structures and provide powerful means for adequate semantic constructions. This offers a serious alternative to the traditional settheoretical foundation for linguistic semantics and opens up a new avenue for developing formal semantics that is both model-theoretic and proof-theoretic, which was not available before the development of MTTsemantics. This book provides a reader-friendly and precise description of MTTs and offers a comprehensive introduction to MTT-semantics. It develops several case studies, such as adjectival modification and copredication, to exemplify the attractiveness of using MTTs for the study of linguistic meaning. It also examines existing proof assistant technology based on MTT-semantics for the verification of semantic constructions and reasoning in natural language. Several advanced topics are also briefly studied, including dependent event types, an application of dependent typing to event semantics.

A Modern Perspective on Type Theory
A Modern Perspective on Type Theory

Author: F.D. Kamareddine

Publisher: Springer Science & Business Media

Published: 2006-03-10

Total Pages: 367

ISBN-13: 1402023359

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This book provides an overview of type theory. The first part of the book is historical, yet at the same time, places historical systems in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms. The third part proposes new systems that bring more advantages together.

Language, Logic, and Computation
Language, Logic, and Computation

Author: Aybüke Özgün

Publisher: Springer Nature

Published: 2022-03-30

Total Pages: 367

ISBN-13: 3030984796

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This book constitutes the refereed proceedings of the 13th International Tbilisi Symposium on Logic, Language and Computation, TbiLLC 2019, held in Batumi, Georgia, in September 2019. The volume contains 17 full revised papers presented at the conference from 17 submissions. The scientific program consisted of tutorials, invited lectures, contributed talks, and two workshops. The symposium offered two tutorials in language and logic and aimed at students as well as researchers working in the other areas: · Language: Sign language linguistics. State of the art, by Fabian Bross (University of Stuttgart, Germany) · Logic: Axiomatic Semantics, by Graham E. Leigh (University of Gothenburg, Sweden)

Logic and Algorithms in Computational Linguistics 2018 (LACompLing2018)
Logic and Algorithms in Computational Linguistics 2018 (LACompLing2018)

Author: Roussanka Loukanova

Publisher: Springer Nature

Published: 2019-09-30

Total Pages: 210

ISBN-13: 3030300773

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This book focuses mainly on logical approaches to computational linguistics, but also discusses integrations with other approaches, presenting both classic and newly emerging theories and applications.Decades of research on theoretical work and practical applications have demonstrated that computational linguistics is a distinctively interdisciplinary area. There is convincing evidence that computational approaches to linguistics can benefit from research on the nature of human language, including from the perspective of its evolution. This book addresses various topics in computational theories of human language, covering grammar, syntax, and semantics. The common thread running through the research presented is the role of computer science, mathematical logic and other subjects of mathematics in computational linguistics and natural language processing (NLP). Promoting intelligent approaches to artificial intelligence (AI) and NLP, the book is intended for researchers and graduate students in the field.

Concepts, Frames and Cascades in Semantics, Cognition and Ontology
Concepts, Frames and Cascades in Semantics, Cognition and Ontology

Author: Sebastian Löbner

Publisher: Springer Nature

Published: 2021-05-28

Total Pages: 486

ISBN-13: 3030502007

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This open access book presents novel theoretical, empirical and experimental work exploring the nature of mental representations that support natural language production and understanding, and other manifestations of cognition. One fundamental question raised in the text is whether requisite knowledge structures can be adequately modeled by means of a uniform representational format, and if so, what exactly is its nature. Frames are a key topic covered which have had a strong impact on the exploration of knowledge representations in artificial intelligence, psychology and linguistics; cascades are a novel development in frame theory. Other key subject areas explored are: concepts and categorization, the experimental investigation of mental representation, as well as cognitive analysis in semantics. This book is of interest to students, researchers, and professionals working on cognition in the fields of linguistics, philosophy, and psychology.

The Semantics of Dynamic Space in French
The Semantics of Dynamic Space in French

Author: Michel Aurnague

Publisher: John Benjamins Publishing Company

Published: 2019-07-29

Total Pages: 408

ISBN-13: 9027262500

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Research on the semantics of spatial markers in French is known mainly through Vandeloise’s (1986, 1991) work on static prepositions. However, interest in the expression of space in French goes back to the mid-1970s and focused first on verbs denoting changes in space, whose syntactic properties were related to specific semantic distinctions, such as the opposition between “movement” and “displacement”. This volume provides an overview of recent studies on the semantics of dynamic space in French and addresses important questions about motion expression, among which “goal bias” and asymmetry of motion, the status of locative PPs, the expression of manner, fictive or non-actual motion. Descriptive, experimental and formal or computational analyses are presented, providing complementary perspectives on the main issue. The volume is intended for researchers and advanced students wishing to learn about both spatial semantics in French and recent debates on the representation of motion events in language and cognition.

Logical Aspects of Computational Linguistics. Celebrating 20 Years of LACL (1996–2016)
Logical Aspects of Computational Linguistics. Celebrating 20 Years of LACL (1996–2016)

Author: Maxime Amblard

Publisher: Springer

Published: 2016-11-21

Total Pages: 354

ISBN-13: 3662538261

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Edited under the auspices of the Association of Logic, Language andInformation (FoLLI), this book constitutes the refereed proceedings ofthe 20th anniversary of the International Conference on LogicalAspects of Computational Linguistics, LACL 2016, held in LORIA Nancy,France, in December 2016. The 19 contributed papers, presentedtogether with 4 invited papers and 6 abstracts, were carefullyreviewed and selected from 38 submissions. The focus of the conferenceis the use of type theoretic, proof theoretic, and model theoreticmethods for describing and formalising natural language syntax,semantics, and pragmatics as well as the implementation of thecorresponding tools.

Formal Semantics in Modern Type Theories
Formal Semantics in Modern Type Theories

Author: Stergios Chatzikyriakidis

Publisher: John Wiley & Sons

Published: 2020-12-18

Total Pages: 256

ISBN-13: 1119489210

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This book studies formal semantics in modern type theories (MTTsemantics). Compared with simple type theory, MTTs have much richer type structures and provide powerful means for adequate semantic constructions. This offers a serious alternative to the traditional settheoretical foundation for linguistic semantics and opens up a new avenue for developing formal semantics that is both model-theoretic and proof-theoretic, which was not available before the development of MTTsemantics. This book provides a reader-friendly and precise description of MTTs and offers a comprehensive introduction to MTT-semantics. It develops several case studies, such as adjectival modification and copredication, to exemplify the attractiveness of using MTTs for the study of linguistic meaning. It also examines existing proof assistant technology based on MTT-semantics for the verification of semantic constructions and reasoning in natural language. Several advanced topics are also briefly studied, including dependent event types, an application of dependent typing to event semantics.

Modal Homotopy Type Theory
Modal Homotopy Type Theory

Author: David Corfield

Publisher: Oxford University Press

Published: 2020-02-06

Total Pages: 208

ISBN-13: 0192595032

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"The old logic put thought in fetters, while the new logic gives it wings." For the past century, philosophers working in the tradition of Bertrand Russell - who promised to revolutionise philosophy by introducing the 'new logic' of Frege and Peano - have employed predicate logic as their formal language of choice. In this book, Dr David Corfield presents a comparable revolution with a newly emerging logic - modal homotopy type theory. Homotopy type theory has recently been developed as a new foundational language for mathematics, with a strong philosophical pedigree. Modal Homotopy Type Theory: The Prospect of a New Logic for Philosophy offers an introduction to this new language and its modal extension, illustrated through innovative applications of the calculus to language, metaphysics, and mathematics. The chapters build up to the full language in stages, right up to the application of modal homotopy type theory to current geometry. From a discussion of the distinction between objects and events, the intrinsic treatment of structure, the conception of modality as a form of general variation to the representation of constructions in modern geometry, we see how varied the applications of this powerful new language can be.