Sinossi
The book develops a type theory, studies its properties, and explains its uses in applications to computer science. In particular, it shows how the study of type theory may offer a powerful and uniform language for programming, program specification and development, and logical reasoning.
The type theory developed here reflects a conceptual distinction between logical propositions and computational data types. Starting from introducing the basic concepts, the author explains intuitively the meaning and use of the type-theoretic language with proof-theoretic justifications, and discusses various issues in the study of type theory. The pragmatic use of the language is illustrated by developing an approach to specification and data refinement in type theory, which supports modular development of spcdifications, programs and proofs.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
a comprehensive account of ... one particular type theory, The Extended Calculus of Constructions ... I found this to be a well written, thorough and enjoyable account of the ECC ... I recommend Computation and Reasoning wholeheartedly. (The Computer Journal, Vol 37, No 6, 1994)
Contenuti
- Preface
- Introduction
- 1: The extended calculus of constructions
- 2: Basic meta-theoretic properties
- 3: Strong normalisation
- 4: The internal logic and decidability
- 5: A set-theoretic model
- 6: Computational and logical theories
- 7: Specification and development of programs
- 8: Towards a unifying theory of dependent types
- Bibliography
- Notation and symbols
- Index
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Hardcover. Condizione: new. Hardcover. The book develops a type theory, studies its properties, and explains its uses in applications to computer science. In particular, it shows how the study of type theory may offer a powerful and uniform language for programming, program specification and development, and logical reasoning.The type theory developed here reflects a conceptual distinction between logical propositions and computational data types. Starting from introducing thebasic concepts, the author explains intuitively the meaning and use of the type-theoretic language with proof-theoretic justifications, and discusses various issues in the study of type theory. Thepragmatic use of the language is illustrated by developing an approach to specification and data refinement in type theory, which supports modular development of spcdifications, programs and proofs. Here, the author, develops a type theory, studies its properties, and explains its uses in applications to computer science. In particular, type theory is shown to offer a powerful and uniform language for programming, program specification and development, and logical reasoning. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9780198538356
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