{"product_id":"9783031211140","title":"Computer Science Foundations and Applied Logic: A Practical Logic for Expressing and Reasoning About Mathematical Ideas","description":"\u003ch1\u003eComputer Science Foundations and Applied Logic: A Practical Logic for Expressing and Reasoning About Mathematical Ideas\u003c\/h1\u003e \u003ch2\u003eFarmer, William M.\u003c\/h2\u003e \u003cp\u003eThis unique textbook, in contrast to a standard logic text, provides the reader with a logic that actually can be \u003ci\u003eused\u003c\/i\u003e in practice to express and reason about mathematical ideas.\u003c\/p\u003e\u003cp\u003eThe book is an introduction to \u003ci\u003esimple type theory\u003c\/i\u003e, a classical higher-order version of predicate logic that extends first-order logic. It presents a practice-oriented logic called \u003ci\u003eAlonzo\u003c\/i\u003e that is based on Alonzo Church's formulation of simple type theory known as \u003ci\u003eChurch's type theory\u003c\/i\u003e. Unlike traditional predicate logics, Alonzo admits undefined expressions. The book illustrates, using Alonzo, how simple type theory is suited ideally for reasoning about mathematical structures and constructing libraries of mathematical knowledge.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eTopics and features:\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eOffers the first book-length introduction to simple type theory as a predicate logic\u003c\/li\u003e\n\u003cli\u003eProvides the reader with a logic that is close to mathematical practice\u003c\/li\u003e\n\u003cli\u003ePresents the tools needed to build libraries of mathematical knowledge\u003c\/li\u003e\n\u003cli\u003eEmploys two semantics, one for mathematics and one for logic\u003c\/li\u003e\n\u003cli\u003eEmphasizes the model-theoretic view of predicate logic\u003c\/li\u003e\n\u003cli\u003eIncludes several important topics, such as definite description and theory morphisms, not usually found in standard logic textbooks\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eAimed at students of computing and mathematics at the graduate or upper-undergraduate level, this book is also well-suited for mathematicians, computing professionals, engineers, and scientists who need a \u003ci\u003epractical\u003c\/i\u003e logic for expressing and reasoning about mathematical ideas.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eWilliam M. Farmer\u003c\/b\u003e is a Professor in the Department of Computing and Software at McMaster University in Hamilton, Ontario, Canada.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2024-01-03\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031211140\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-21112-6\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 295\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44309715419276,"sku":"9783031211140","price":67.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031211140_1fd6943b-26e5-418a-baf4-c97bded5daf0.jpg?v=1777385548","url":"https:\/\/lateknightbooks.com\/products\/9783031211140","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}