Type Theoretical Grammar
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Type Theoretical Grammar
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Author : Aarne Ranta
language : en
Publisher:
Release Date : 1994
Type Theoretical Grammar written by Aarne Ranta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.
Constructive type theory was first presented in 1970, by the Swedish logician Per Martin-Lof. It has become one of the main approaches in the foundations of mathematics and computer science. But it has remained relatively unknown among linguists and philosophers, although it provides a comsiderable extension of the concepts and techniques of logic. The book contains an introduction to type theory from the point of view of linguistics and the philosophy of language. Type theory is then applied in the areas of quantification, anaphora, temporal reference, and the structure of text and discourse. In virtue of the type theoretical concepts of proof object and context, various phenomena of dependence and progression in language can be discussed in precise terms, and several well-known problems can be solved.
Type Theoretical Grammar
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Author : Aarne Ranta
language : en
Publisher:
Release Date : 2023
Type Theoretical Grammar written by Aarne Ranta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Grammar, Comparative and general categories.
Constructive type theory is a unified theory of logic, mathematics and computer programming. This introduction to type-theoretical thinking puts its techniques to use in linguistic analysis. It clarifies the syntax and semantics of pronouns, noun phrases, tenses and text progression.
Modern Perspectives In Type Theoretical Semantics
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Author : Stergios Chatzikyriakidis
language : en
Publisher: Springer
Release Date : 2017-02-07
Modern Perspectives In Type Theoretical Semantics written by Stergios Chatzikyriakidis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-07 with Language Arts & Disciplines categories.
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.
History And Philosophy Of Constructive Type Theory
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Author : Giovanni Sommaruga
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
History And Philosophy Of Constructive Type Theory written by Giovanni Sommaruga and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Philosophy categories.
A comprehensive survey of Martin-Löf's constructive type theory, considerable parts of which have only been presented by Martin-Löf in lecture form or as part of conference talks. Sommaruga surveys the prehistory of type theory and its highly complex development through eight different stages from 1970 to 1995. He also provides a systematic presentation of the latest version of the theory, as offered by Martin-Löf at Leiden University in Fall 1993. This presentation gives a fuller and updated account of the system. Earlier, brief presentations took no account of the issues related to the type-theoretical approach to logic and the foundations of mathematics, while here they are accorded an entire part of the book. Readership: Comprehensive accounts of the history and philosophy of constructive type theory and a considerable amount of related material. Readers need a solid background in standard logic and a first, basic acquaintance with type theory.
Treatise On Intuitionistic Type Theory
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Author : Johan Georg Granström
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-02
Treatise On Intuitionistic Type Theory written by Johan Georg Granström and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-02 with Philosophy categories.
Intuitionistic type theory can be described, somewhat boldly, as a partial fulfillment of the dream of a universal language for science. This book expounds several aspects of intuitionistic type theory, such as the notion of set, reference vs. computation, assumption, and substitution. Moreover, the book includes philosophically relevant sections on the principle of compositionality, lingua characteristica, epistemology, propositional logic, intuitionism, and the law of excluded middle. Ample historical references are given throughout the book.
Modal Homotopy Type Theory
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Author : David Corfield
language : en
Publisher: Oxford University Press
Release Date : 2020-02-06
Modal Homotopy Type Theory written by David Corfield and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-06 with Philosophy categories.
"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.
The Handbook Of Contemporary Semantic Theory
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Author : Shalom Lappin
language : en
Publisher: John Wiley & Sons
Release Date : 2019-02-12
The Handbook Of Contemporary Semantic Theory written by Shalom Lappin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-12 with Language Arts & Disciplines categories.
The second edition of The Handbook of Contemporary Semantic Theory presents a comprehensive introduction to cutting-edge research in contemporary theoretical and computational semantics. Features completely new content from the first edition of The Handbook of Contemporary Semantic Theory Features contributions by leading semanticists, who introduce core areas of contemporary semantic research, while discussing current research Suitable for graduate students for courses in semantic theory and for advanced researchers as an introduction to current theoretical work
Formal Semantics In Modern Type Theories
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Author : Stergios Chatzikyriakidis
language : en
Publisher: John Wiley & Sons
Release Date : 2021-02-17
Formal Semantics In Modern Type Theories written by Stergios Chatzikyriakidis and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-17 with Language Arts & Disciplines categories.
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.
Syntactic Structures
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Author : Noam Chomsky
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18
Syntactic Structures written by Noam Chomsky and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-18 with Language Arts & Disciplines categories.
No detailed description available for "Syntactic Structures".
Defining Language
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Author : Geoff Barnbrook
language : en
Publisher: John Benjamins Publishing
Release Date : 2002
Defining Language written by Geoff Barnbrook and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Language Arts & Disciplines categories.
This book describes an investigation of the subset of general language used in definition sentences and the development of a taxonomy of definition types, a grammar of definition sentences and parsing software which can extract their functional components. Based on definition sentences used in one of the dictionaries from the Cobuild range, and the book includes a brief history of the development of monolingual English dictionaries, an assessment of the concepts of sublanguages and local grammars and a full exploration of the results of the analysis and of the present and future applications of the taxonomy, grammar and parser.