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About This Book:

Title: Lectures on the Curry-howard Isomorphism

Details
Series:             Studies in Logic and the Foundations of Mathematics
Language:        English

Size
Length:        442 Pages
Weight:        1.8 Pounds
Height:         9 Inches
Width:          6 Inches
Thickness:    0.8 Inches



Publisher Notes
The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance,
minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic types, sequent calculus is related to explicit substitution, etc.

The isomorphism has many aspects, even at the syntactic level:
formulas correspond to types, proofs correspond to terms, provability corresponds to inhabitation, proof normalization corresponds to term reduction, etc.

But there is more to the isomorphism than this. For instance, it is an old idea---due to Brouwer, Kolmogorov, and Heyting---that a constructive proof of an implication is a procedure that transforms
proofs of the antecedent into proofs of the succedent; the Curry-Howard isomorphism gives syntactic representations of such procedures. The Curry-Howard isomorphism also provides theoretical foundations for many modern proof-assistant systems (e.g. Coq).

This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic.

. The Curry-Howard Isomorphism treated as the common theme.
. Reader-friendly introduction to two complementary subjects: lambda-calculus and constructive logics
. Thorough study of the connection between calculi and logics.
. Elaborate study of classical logics and control operators.
. Account of dialogue games for classical and intuitionistic logic.
. Theoretical foundations of computer-assisted reasoning



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Book Details Summary: The title of this book is Lectures on the Curry-howard Isomorphism and it was written by Pawel Urzyczyn, Pawe Urzyczyn. This edition of Lectures on the Curry-howard Isomorphism is in a Hardcover format. This books publish date is September 2006 and it has a suggested retail price of $145. There are 442 pages in the book and it was published by Elsevier Science Ltd. The 10 digit ISBN is 0444520775 and the 13 digit ISBN is 9780444520777. For the most current lowest price, Click Here.