{"product_id":"data-refinement-model-oriented-proof-methods-and-their-comparison-paperback-9780521103503","title":"Data Refinement; Model-Oriented Proof Methods and their Comparison (Paperback \/ softback) 9780521103503","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eData Refinement\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eModel-Oriented Proof Methods and their Comparison\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eGraduate text in formal methods in computer science.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eWillem-Paul de Roever (Author), Kai Engelhardt (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521103503, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 18 December 2008\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e436 pages, 18 b\/w illus.  93 exercises\u003cbr\u003e22.9 x 15.2 x 2.5 cm, 0.64 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\"The presentation of the theory is backed up by some substantial examples...and this together with the extensive historical notes makes the book an extremely useful reference manual and graduate text.\"\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe goal of this book is to provide a comprehensive and systematic introduction to the important and highly applicable method of data refinement and the simulation methods used for proving its correctness. The authors concentrate in the first part on the general principles needed to prove data refinement correct. They begin with an explanation of the fundamental notions, showing that data refinement proofs reduce to proving simulation. The book's second part contains a detailed survey of important methods in this field, which are carefully analysed, and shown to be either incomplete, with counterexamples to their application, or to be always applicable whenever data refinement holds. This is shown by proving, for the first time, that all these methods can be described and analysed in terms of two simple notions: forward and backward simulation. The book is self-contained, going from advanced undergraduate level and taking the reader to the state of the art in methods for proving simulation.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Theory: 1. Introduction to data refinement\u003cbr\u003e 2. Simulation as a proof method for data refinement\u003cbr\u003e 3. Relations and recursion\u003cbr\u003e 4. Properties of simulation\u003cbr\u003e 5. Notation and semantics\u003cbr\u003e 6. A Hoare logic\u003cbr\u003e 7. Simulation and Hoare logic\u003cbr\u003e 8. An extension to total correctness\u003cbr\u003e 9. Simulation and total correctness\u003cbr\u003e 10. Refinement calculus\u003cbr\u003e Part II. Applications: 11. Reynolds' method\u003cbr\u003e 12. VDM\u003cbr\u003e 13. Z, Hehner's method and Back's refinement calculus\u003cbr\u003e 14. Refinement methods due to Abadi \u0026amp; Lamport and Lynch. Appendix A. An introduction to Hoare logic\u003cbr\u003e Appendix B. A primer on ordinals and transfinite induction\u003cbr\u003e Appendix C. Notational convention\u003cbr\u003e Appendix D. Precedences\u003cbr\u003e Bibliography\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]\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":46005412757784,"sku":"9780521103503","price":46.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521103503i_85263f39-8908-49d9-b7b1-396485b01198.jpg?v=1694970888","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/data-refinement-model-oriented-proof-methods-and-their-comparison-paperback-9780521103503","provider":"Freshly Printed Books","version":"1.0","type":"link"}