Lambda Calculus with Types (Perspectives in Logic)

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A comprehensive mathematical exploration of three primary typing systems: simple types, recursive types, and intersection types. By transitioning from untyped terms to structured typed terms, the authors examine critical properties such as strong normalization, decidability, and subject reduction. Beyond theoretical analysis, the text outlines practical applications in functional programming, proof-checking, and natural language semantics. Ultimately, the book serves as a rigorous technical resource detailing how formal type structures enhance and limit the expressive power of the lambda calculus.

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