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Birkhauser Semantics of Type Theory - Correctness & Completeness Results

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Description

Semantics of Type Theory by Birkhauser explores the foundational role of typing in software development and formal verification. This Progress in Theoretical Computer Science volume examines how types function as weak specifications for programs, and demonstrates how the proposition-as-types paradigm enables the extraction of executable programs from constructive proofs. The text bridges theoretical foundations and practical application, covering correctness, completeness, and independence results that underpin modern type systems. Ideal for researchers and advanced students in computer science and mathematical logic seeking rigorous treatment of type theory's semantic underpinnings.

Key Features

Examines type theory's role as a specification and verification mechanism in software development and formal systems.

Covers the proposition-as-types paradigm and its application to extracting programs from constructive proofs.

Discusses correctness, completeness, and independence results essential to understanding type systems.

Published by Birkhauser as part of the Progress in Theoretical Computer Science series for academic rigour.

Addresses the effectiveness and uniformity of constructive proofs in type-theoretic frameworks.

Product Specifications

Format
paperback
Domain
Amazon UK
Publication Date
29 October 2012
Listed Since
03 March 2013

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