Lambda Conversion And Logic
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Lambda Conversion And Logic
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Author : Adrian Rezus
language : en
Publisher:
Release Date : 1981
Lambda Conversion And Logic written by Adrian Rezus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Lambda calculus categories.
Lambda Calculus With Types
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Author : Henk Barendregt
language : en
Publisher: Cambridge University Press
Release Date : 2013-06-20
Lambda Calculus With Types written by Henk Barendregt and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-20 with Mathematics categories.
This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984). The formalism has since been extended with types and used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), used in designing and verifying IT products and mathematical proofs. In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. It is in these three formalisms of terms and types that the unexpected mathematical beauty is revealed. The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using types.
Language Form And Logic
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Author : Peter Ludlow
language : en
Publisher: Oxford University Press
Release Date : 2022
Language Form And Logic written by Peter Ludlow 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 2022 with Computers categories.
This book explores the idea that all of logic can be reduced to two very simple rules that are sensitive to logical polarity. The authors show that this idea has profound consequences for our understanding of the nature of human inferential capacities, and for some of the key issues in contemporary linguistics.
An Introduction To Functional Programming Through Lambda Calculus
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Author : Greg Michaelson
language : en
Publisher: Courier Corporation
Release Date : 2013-04-10
An Introduction To Functional Programming Through Lambda Calculus written by Greg Michaelson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-10 with Mathematics categories.
Well-respected text for computer science students provides an accessible introduction to functional programming. Cogent examples illuminate the central ideas, and numerous exercises offer reinforcement. Includes solutions. 1989 edition.
Meinongian Logic
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Author : Dale Jacquette
language : en
Publisher: Walter de Gruyter
Release Date : 2011-07-11
Meinongian Logic written by Dale Jacquette and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-11 with Philosophy categories.
No detailed description available for "Meinongian Logic".
Lambda Calculus Types And Models
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Author : Jean Louis Krivine
language : en
Publisher: Prentice Hall
Release Date : 1993
Lambda Calculus Types And Models written by Jean Louis Krivine and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
This introduction to lambda-calculus looks at aspects of the theory: combinatory logic, models, and type streams, showing how they interlink and underpin computer science.
Frege And The Logic Of Sense And Reference
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Author : Kevin C. Klement
language : en
Publisher: Routledge
Release Date : 2017-09-25
Frege And The Logic Of Sense And Reference written by Kevin C. Klement and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-25 with Philosophy categories.
First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
Dictionary Of Logic As Applied In The Study Of Language
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Author : W. Marciszewski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Dictionary Of Logic As Applied In The Study Of Language written by W. Marciszewski 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 2013-06-29 with Philosophy categories.
1. STRUCTURE AND REFERENCES 1.1. The main part of the dictionary consists of alphabetically arranged articles concerned with basic logical theories and some other selected topics. Within each article a set of concepts is defined in their mutual relations. This way of defining concepts in the context of a theory provides better understand ing of ideas than that provided by isolated short defmitions. A disadvantage of this method is that it takes more time to look something up inside an extensive article. To reduce this disadvantage the following measures have been adopted. Each article is divided into numbered sections, the numbers, in boldface type, being addresses to which we refer. Those sections of larger articles which are divided at the first level, i.e. numbered with single numerals, have titles. Main sections are further subdivided, the subsections being numbered by numerals added to the main section number, e.g. I, 1.1, 1.2, ... , 1.1.1, 1.1.2, and so on. A comprehensive subject index is supplied together with a glossary. The aim of the latter is to provide, if possible, short defmitions which sometimes may prove sufficient. As to the use of the glossary, see the comment preceding it.
Logic Meaning And Computation
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Author : Alonzo Church
language : en
Publisher: Springer Science & Business Media
Release Date : 2001
Logic Meaning And Computation written by Alonzo Church 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 2001 with Mathematics categories.
This volume began as a remembrance of Alonzo Church while he was still with us and is now finally complete. It contains papers by many well-known scholars, most of whom have been directly influenced by Church's own work. Often the emphasis is on foundational issues in logic, mathematics, computation, and philosophy - as was the case with Church's contributions, now universally recognized as having been of profound fundamental significance in those areas. The volume will be of interest to logicians, computer scientists, philosophers, and linguists. The contributions concern classical first-order logic, higher-order logic, non-classical theories of implication, set theories with universal sets, the logical and semantical paradoxes, the lambda-calculus, especially as it is used in computation, philosophical issues about meaning and ontology in the abstract sciences and in natural language, and much else. The material will be accessible to specialists in these areas and to advanced graduate students in the respective fields.
Handbook Of Logic And Language
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Author : J. van Benthem
language : en
Publisher: Elsevier
Release Date : 1997
Handbook Of Logic And Language written by J. van Benthem and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science. The history of the combined study of Logic and Linguistics goes back a long way, at least to the work of the scholastic philosophers in the Middle Ages. At the beginning of this century, the subject was revitalized through the pioneering efforts of Gottlob Frege, Bertrand Russell, and Polish philosophical logicians such as Kazimierz Ajdukiewicz. Around 1970, the landmark achievements of Richard Montague established a junction between state-of-the-art mathematical logic and generative linguistic theory. Over the subsequent decades, this enterprise of Montague Grammar has flourished and diversified into a number of research programs with empirical and theoretical substance. This appears to be the first Handbook to bring logic-language interface to the fore. Both aspects of the interaction between logic and language are demonstrated in the book i.e. firstly, how logical systems are designed and modified in response to linguistic needs and secondly, how mathematical theory arises in this process and how it affects subsequent linguistic theory. The Handbook presents concise, impartial accounts of the topics covered. Where possible, an author and a commentator have cooperated to ensure the proper breadth and technical content of the papers. The Handbook is self-contained, and individual articles are of the highest quality.