Introduction to Higher-Order Categorical Logic (Cambridge Studies in Advanced Mathematics) Export

@book{citeulike:1743765, abstract = {{In this volume, Lambek and Scott 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. Part II demonstrates 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 Detailed historical references are provided throughout, and each section concludeds with a set of exercises.}}, author = {Lambek, J. and Scott, P. J.}, citeulike-article-id = {1743765}, citeulike-linkout-0 = {http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0521356539}, citeulike-linkout-1 = {http://www.amazon.de/exec/obidos/redirect?tag=citeulike01-21&path=ASIN/0521356539}, citeulike-linkout-2 = {http://www.amazon.fr/exec/obidos/redirect?tag=citeulike06-21&path=ASIN/0521356539}, citeulike-linkout-3 = {http://www.amazon.jp/exec/obidos/ASIN/0521356539}, citeulike-linkout-4 = {http://www.amazon.co.uk/exec/obidos/ASIN/0521356539/citeulike00-21}, citeulike-linkout-5 = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0521356539}, citeulike-linkout-6 = {http://www.worldcat.org/isbn/0521356539}, citeulike-linkout-7 = {http://books.google.com/books?vid=ISBN0521356539}, citeulike-linkout-8 = {http://www.amazon.com/gp/search?keywords=0521356539&index=books&linkCode=qs}, citeulike-linkout-9 = {http://www.librarything.com/isbn/0521356539}, day = {25}, howpublished = {Paperback}, isbn = {0521356539}, keywords = {categorical-logic, domain-theory, higher-order, topos-theory}, month = {March}, posted-at = {2007-10-09 00:39:41}, priority = {2}, publisher = {{Cambridge University Press}}, title = {Introduction to Higher-Order Categorical Logic (Cambridge Studies in Advanced Mathematics)}, url = {http://www.amazon.com/exec/obidos/redirect?tag=citeulike07-20&path=ASIN/0521356539}, year = {1988} }

TY - BOOK ID - citeulike:1743765 L3 - citeulike-article-id:1743765 N2 - {In this volume, Lambek and Scott 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. Part II demonstrates 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 concludeds with a set of exercises.} SN - 0521356539 TI - Introduction to Higher-Order Categorical Logic (Cambridge Studies in Advanced Mathematics) PB - {Cambridge University Press} KW - categorical-logic KW - domain-theory KW - higher-order KW - topos-theory AU - Lambek, J AU - Scott, PJ PY - 1988/03/25/ UR - http://www.amazon.ca/exec/obidos/redirect?tag=citeulike09-20&path=ASIN/0521356539 ER -