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Book Cover
E-book
Author Urzyczyn, Pawel

Title Lectures on the Curry-Howard Isomorphism
Published Burlington : Elsevier, 2006

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Description 1 online resource (457 pages)
Series Studies in Logic & the Foundations of Mathematics, v. 149
Studies in Logic & the Foundations of Mathematics, v. 149
Contents Front Cover; Title Page; Copyright Page; Table of Contents; Chapter 1 Type-free Lambda-calculus; Chapter 2 Intultionistic logic; Chapter 3 Simply typed Lambda-calcuIus; Chapter 4 The Curry-Howard isomorphism; Chapter 5 Proofs as combinators; Chapter 6 Classical logic and control operators; Chapter 7 Sequent calculus; Chapter 8 First-order logic; Chapter 9 First-order arithmetic; Chapter 10 Godel's system T; Chapter 11 Second-order logic and polymorphism; Chapter 12 Second-order arithmetic; Chapter 13 Dependent types; Chapter 14 Pure type systems and the Lambda-cube
Appendix A: Mathematical backgroundAppendix B: Solutions and hints to selected exercises; Bibliography; Index
Summary The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as in type theory. The isomorphism has many aspects, even at syntactic level. This book offers an introduction to the proof theory and related aspects of type theory relevant for the isomorphism
Notes Print version record
Subject Curry-Howard isomorphism.
Lambda calculus.
Proof theory.
Curry-Howard isomorphism
Lambda calculus
Proof theory
Form Electronic book
Author Sorensen, Morten
ISBN 9780080478920
0080478921