Investigations Into Martin Loef Type Theory As A Programming Logic
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Investigations Into Martin Loef Type Theory As A Programming Logic
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Author : P. Chisholm
language : en
Publisher:
Release Date : 1988
Investigations Into Martin Loef Type Theory As A Programming Logic written by P. Chisholm and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Investigations Into Martin L F Type Theory As A Programming Logic
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Author : P. Chisholm
language : en
Publisher:
Release Date : 1988
Investigations Into Martin L F Type Theory As A Programming Logic written by P. Chisholm and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Programming In Martin L F S Type Theory
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Author : Bengt Nordström
language : en
Publisher: Oxford University Press, USA
Release Date : 1990
Programming In Martin L F S Type Theory written by Bengt Nordström and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computers categories.
In recent years, several formalisms for program construction have appeared. One such formalism is the type theory developed by Per Martin-Löf. Well suited as a theory for program construction, it makes possible the expression of both specifications and programs within the same formalism. Furthermore, the proof rules can be used to derive a correct program from a specification as well as to verify that a given program has a certain property. This book contains a thorough introduction to type theory, with information on polymorphic sets, subsets, monomorphic sets, and a full set of helpful examples.
Intuitionistic Type Theory
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Author : Per Martin-Löf
language : en
Publisher:
Release Date : 1984
Intuitionistic Type Theory written by Per Martin-Löf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Treatise On Intuitionistic Type Theory
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Author : Johan Georg Granström
language : de
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.
Extensional Constructs In Intensional Type Theory
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Author : Martin Hofmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Extensional Constructs In Intensional Type Theory written by Martin Hofmann 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 2012-12-06 with Mathematics categories.
Extensional Constructs in Intensional Type Theory presents a novel approach to the treatment of equality in Martin-Loef type theory (a basis for important work in mechanised mathematics and program verification). Martin Hofmann attempts to reconcile the two different ways that type theories deal with identity types. The book will be of interest particularly to researchers with mainly theoretical interests and implementors of type theory based proof assistants, and also fourth year undergraduates who will find it useful as part of an advanced course on type theory.
Martin L F S Type Theory As A Programming Logic
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Author : Bengt Nordström
language : en
Publisher:
Release Date : 1986
Martin L F S Type Theory As A Programming Logic written by Bengt Nordström and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Type Theory And Functional Programming
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Author : Simon Thompson
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1991
Type Theory And Functional Programming written by Simon Thompson and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Computers categories.
This book explores the role of Martin-Lof s constructive type theory in computer programming. The main focus of the book is how the theory can be successfully applied in practice. Introductory sections provide the necessary background in logic, lambda calculus and constructive mathematics, and exercises and chapter summaries are included to reinforce understanding.
Twenty Five Years Of Constructive Type Theory
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Author : Giovanni Sambin
language : en
Publisher: Clarendon Press
Release Date : 1998-10-15
Twenty Five Years Of Constructive Type Theory written by Giovanni Sambin and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-15 with Mathematics categories.
Per Martin-Löf's work on the development of constructive type theory has been of huge significance in the fields of logic and the foundations of mathematics. It is also of broader philosophical significance, and has important applications in areas such as computing science and linguistics. This volume draws together contributions from researchers whose work builds on the theory developed by Martin-Löf over the last twenty-five years. As well as celebrating the anniversary of the birth of the subject it covers many of the diverse fields which are now influenced by type theory. It is an invaluable record of areas of current activity, but also contains contributions from N. G. de Bruijn and William Tait, both important figures in the early development of the subject. Also published for the first time is one of Per Martin-Löf's earliest papers.
Semantics And Logics Of Computation
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Author : Andrew M. Pitts
language : en
Publisher: Cambridge University Press
Release Date : 1997-01-30
Semantics And Logics Of Computation written by Andrew M. Pitts 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 1997-01-30 with Computers categories.
The aim of this volume is to present modern developments in semantics and logics of computation in a way that is accessible to graduate students. The book is based on a summer school at the Isaac Newton Institute and consists of a sequence of linked lecture course by international authorities in the area. The whole set have been edited to form a coherent introduction to these topics, most of which have not been presented pedagogically before.