{"product_id":"derivation-and-computation-taking-the-curry-howard-correspondence-seriously-hardback-9780521771733","title":"Derivation and Computation; Taking the Curry-Howard Correspondence Seriously (Hardback) 9780521771733","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eDerivation and Computation\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eTaking the Curry-Howard Correspondence Seriously\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eAn introduction to simple type theory, containing 200 exercises with complete solutions.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eH. Simmons (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521771733, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 18 May 2000\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e412 pages, 23 tables  193 exercises\u003cbr\u003e23.6 x 15.8 x 2.6 cm, 0.77 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… recommended for the student or researcher who's been exposed to bits and pieces of the Curry-Howard correspondence, but wants a sharper idea of the big picture and is willing to work through the exercises to see how the details fit together. Simmons has succeeded in pulling together the main fruits of the correspondence for simple types in a single text. … It can't be emphasized enough that the great thing about this book is its many well-chosen completely solved exercises. This alone makes it a valuable text, especially for self-study.' ACM SIGACT News\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eMathematics is about proofs, that is the derivation of correct statements; and calculations, that is the production of results according to well-defined sets of rules. The two notions are intimately related. Proofs can involve calculations, and the algorithm underlying a calculation should be proved correct. The aim of the author is to explore this relationship. The book itself forms an introduction to simple type theory. Starting from the familiar propositional calculus the author develops the central idea of an applied lambda-calculus. This is illustrated by an account of Gödel's T, a system which codifies number-theoretic function hierarchies. Each of the book's 52 sections ends with a set of exercises, some 200 in total. These are designed to help the reader get to grips with the subject, and develop a further understanding. An appendix contains complete solutions of these exercises.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e Preview\u003cbr\u003e Part I. Development and Exercises: 1. Derivation systems\u003cbr\u003e 2. Computation mechanisms\u003cbr\u003e 3. The typed combinator calculus\u003cbr\u003e 4. The typed l-calculus\u003cbr\u003e 5. Substitution algorithms\u003cbr\u003e 6. Applied l-calculi\u003cbr\u003e 7. Multi-recursive arithmetic\u003cbr\u003e 8. Ordinals and ordinal notation\u003cbr\u003e 9. Higher order recursion\u003cbr\u003e Part II. Solutions: A. Derivation systems\u003cbr\u003e B. Computation mechanisms\u003cbr\u003e C. The typed combinator calculus\u003cbr\u003e D. The typed l-calculus\u003cbr\u003e E. Substitution algorithms\u003cbr\u003e F. Applied l-calculi\u003cbr\u003e G. Multi-recursive arithmetic\u003cbr\u003e H. Ordinals and ordinal notation\u003cbr\u003e I. Higher order recursion\u003cbr\u003e Postview\u003cbr\u003e Bibliography\u003cbr\u003e Commonly used symbols\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical theory of computation [\u003ca title=\"See our other books on Mathematical theory of computation\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20theory%20of%20computation%20%5BUYA%5D%22\"\u003eUYA\u003c\/a\u003e], Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46004221903128,"sku":"9780521771733","price":122.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521771733i_c703da6c-57f1-481b-9e85-ba974079c30f.jpg?v=1691367779","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/derivation-and-computation-taking-the-curry-howard-correspondence-seriously-hardback-9780521771733","provider":"Freshly Printed Books","version":"1.0","type":"link"}