Introduction to Higher-Order Categorical Logic (Cambridge Studies in Advanced Mathematics, Series Number 7)

Lambek, J.; Scott, P. J.

ISBN 10: 0521356539 / ISBN 13: 9780521356534

Editore: Cambridge University Press, 1988

Cambridge University Press; Cambridge, 1988. Trade paperback. A Very Good, binding sturdy and intact, some handling/scuff marks to covers, bit of cover edge/corner wear, ink check mark top half title page, crease bottom corner page 105-108, a nice and clean copy in wraps. 8vo[octavo or approx. 6 x 9], 293pp., bibliography, indexed. We pack securely and ship daily w/delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.Please note: Oversized books/sets MAY require additional postage then what is quoted for 2.2lb book. Codice articolo SKU1043641

Riassunto:

In this book the authors reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher order logic, and cartesian closed categories are essentially the same. In Part II, it is demonstrated that another formulation of higher order logic (intuitionistic type theories) is closely related to topos theory. Part III is devoted to recursive functions. Numerous applications of the close relationship between traditional logic and the algebraic language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required, making the book essentially self-contained. Detailed historical references are provided throughout, and each section concludes with a set of exercises. Thus it is well-suited for graduate courses and research in mathematics and logic. Researchers in theoretical computer science, artificial intelligence and mathematical linguistics will also find this an accessible introduction to a subject of increasing application to these disciplines.

Recensione: 'A readable and timely account of important results, most of which were not previously available in book form.' Bulletin of the London Mathematical Society

Dati bibliografici

Titolo: Introduction to Higher-Order Categorical ...
Casa editrice: Cambridge University Press
Data di pubblicazione: 1988
Legatura: paperback
Condizione: Very Good