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Book
Type theory and formal proof
Authors: ---
ISBN: 9781107036505 9781139567725 Year: 2014 Publisher: Cambridge Cambridge University Press

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Abstract

"Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems culminating in the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalize mathematics. The only prerequisites are a good knowledge of undergraduate algebra and analysis. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarize themselves with the material"--


Book
Introduction to mathematical logic : part I
Authors: ---
Year: 1965 Publisher: Princeton : Princeton University Press,

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Book
The theory of logical types
Author:
ISBN: 0710070268 9780710070265 Year: 1971 Publisher: London Routledge and Kegan Paul

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Book
Introduction to mathematical logic.
Author:
Year: 1956 Publisher: Princeton : Princeton University Press,

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Book
The Curry-Howard isomorphism
Author:
ISBN: 287209363X 9782872093632 Year: 1995 Volume: 8 Publisher: Louvain-la-Neuve : Academia,

Type-theoretical grammar
Author:
ISBN: 019853857X Year: 1994 Volume: 1 Publisher: Oxford : Clarendon press,

Type theory and functional programming
Author:
ISBN: 0201416670 9780201416671 Year: 1991 Publisher: Wokingham, Don Mills, Ont. : Addison-Wesley,


Book
An introduction to mathematical logic and type theory : to truth through proof
Author:
ISBN: 0120585367 0120585359 9780120585366 Year: 1986 Publisher: Orlando: Academic press,


Book
Communication et société
Authors: ---
ISBN: 2020103508 9782020103503 Year: 1988 Publisher: Paris : Editions du Seuil,

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Dans ce livre, les auteurs, l'un anthropologue, l'autre psychiatre, font converger théorie des jeux, psychologie expérimentale, cybernétique pour élaborer une théorie de la communication

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