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Elsevier Lectures on the Curry-Howard Isomorphism Volume 149

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Description

Explore the deep connection between formal logic and computational calculi with Lectures on the Curry-Howard Isomorphism. Published by Elsevier as part of the Studies in Logic and the Foundations of Mathematics series (Volume 149), this text examines the correspondence between proof theory and type theory. The book details how minimal propositional logic relates to simply typed lambda-calculus and how first-order logic corresponds to dependent types. Readers will gain insights into how second-order logic relates to polymorphic types and how sequent calculus is connected to explicit substitution. This volume covers essential syntactic aspects, including the relationship where formulas correspond to types, proofs correspond to terms, and provability corresponds to inhabitation.

Key Features

This Elsevier publication is Volume 149 in the Studies in Logic and the Foundations of Mathematics series.

The text examines the correspondence between systems of formal logic and computational calculi in type theory.

Detailed analysis includes how minimal propositional logic corresponds to simply typed lambda-calculus.

Learn how first-order logic relates to dependent types and second-order logic relates to polymorphic types.

The content covers syntactic levels where formulas correspond to types and proofs correspond to terms.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
08 July 2006
Listed Since
06 February 2007

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