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Birkhauser Semantics of Type Theory - Computer Science Book

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Description

Explore the fundamental role of typing in software development with Semantics of Type Theory. This academic text from the Progress in Theoretical Computer Science series provides a deep look into how types serve as weak specifications for programs. By verifying that a program matches a specific type, developers can ensure it satisfies certain requirements. The book covers the transition from problem specifications to propositions in constructive logic. It explains how the effectiveness and uniformity of constructive proofs allow for the extraction of programs from proofs of these propositions. Through the proposition-as-types paradigm, you will learn how types can be viewed as having elements that serve as proofs. This text is an essential resource for those studying the theoretical foundations of computer science, specifically regarding correctness, completeness, and independence results. It offers a structured approach to understanding how constructive logic and type theory intersect to improve program verification and software reliability.

Key Features

Covers the role of typing as weak specifications to help verify that programs satisfy specific requirements.

Explains the process of translating problem specifications into propositions within constructive logic.

Details the proposition-as-types paradigm where elements of types are treated as proofs.

Provides insights into extracting programs from proofs through the effectiveness of constructive logic.

Part of the Progress in Theoretical Computer Science series for advanced academic study.

Product Specifications

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

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