{"product_id":"a-programming-approach-to-computability-monographs-in-computer-science-9780387907437","title":"A Programming Approach to Computability (Monographs in Computer Science)","description":"\u003cp\u003eComputability theory is at the heart of theoretical computer science. Yet  ironically  many of its basic results were discovered by mathematical logicians prior to the development of the first stored-program computer. As a result  many texts on computability theory strike todays computer science students as far removed from their concerns. To remedy this  we base our approach to computability on the language of while-programs  a lean subset of PASCAL  and postpone consideration of such classic models as Turing machines  string-rewriting systems  and p. -recursive functions till the final chapter. Moreover  we balance the presentation of un solvability results such as the unsolvability of the Halting Problem with a presentation of the positive results of modern programming methodology  including the use of proof rules  and the denotational semantics of programs. Computer science seeks to provide a scientific basis for the study of information processing  the solution of problems by algorithms  and the design and programming of computers. The last 40 years have seen increasing sophistication in the science  in the microelectronics which has made machines of staggering complexity economically feasible  in the advances in programming methodology which allow immense programs to be designed with increasing speed and reduced error  and in the develop ment of mathematical techniques to allow the rigorous specification of program  process  and machine.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45529615171637,"sku":"ByrdShop_0387907432","price":104.76,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780387907437.jpg?v=1780939157","url":"https:\/\/atxbooks.com\/products\/a-programming-approach-to-computability-monographs-in-computer-science-9780387907437","provider":"ATX Books","version":"1.0","type":"link"}