Programming In Martin L F S Type Theory

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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.

Programming In Martin L F Type Theory

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Author : Ana Bove
language : en
Publisher:
Release Date : 1999

Programming In Martin L F Type Theory written by Ana Bove and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.

Propositions And Specifications Of Programs In Martin L F S Type Theory

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Author : Bengt Nordström
language : en
Publisher:
Release Date : 1984

Propositions And Specifications Of Programs In Martin L F S Type Theory 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 1984 with categories.

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.

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.

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.

Type Theory And Programming

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Author : Thierry Coquand
language : en
Publisher:
Release Date : 1994

Type Theory And Programming written by Thierry Coquand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computer programming categories.

Abstract: "This paper gives an introduction to type theory, focusing on its recent use as a logical framework for proofs and programs. The first two sections give a background to type theory intended for the reader who is new to the subject. The following presents Martin-Löf's monomorphic type theory and an implementation, ALF, of this theory. Finally, a few small tutorial examples in ALF are given."

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.

Basic Simple Type Theory

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Author : J. Roger Hindley
language : en
Publisher: Cambridge University Press
Release Date : 1997

Basic Simple Type Theory written by J. Roger Hindley 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 with Computers categories.

Type theory is one of the most important tools in the design of higher-level programming languages, such as ML. This book introduces and teaches its techniques by focusing on one particularly neat system and studying it in detail. By concentrating on the principles that make the theory work in practice, the author covers all the key ideas without getting involved in the complications of more advanced systems. This book takes a type-assignment approach to type theory, and the system considered is the simplest polymorphic one. The author covers all the basic ideas, including the system's relation to propositional logic, and gives a careful treatment of the type-checking algorithm that lies at the heart of every such system. Also featured are two other interesting algorithms that until now have been buried in inaccessible technical literature. The mathematical presentation is rigorous but clear, making it the first book at this level that can be used as an introduction to type theory for computer scientists.

Program Construction In Martin Lof Type Theory

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Author : A. G. Hamilton
language : en
Publisher:
Release Date : 1985

Program Construction In Martin Lof Type Theory written by A. G. Hamilton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Type theory categories.