Higher Order Computability is popular PDF and ePub book, written by John Longley in 2015-11-06, it is a fantastic choice for those who relish reading online the Computers genre. Let's immerse ourselves in this engaging Computers book by exploring the summary and details provided below. Remember, Higher Order Computability can be Read Online from any device for your convenience.
Higher Order Computability Book PDF Summary
This book offers a self-contained exposition of the theory of computability in a higher-order context, where 'computable operations' may themselves be passed as arguments to other computable operations. The subject originated in the 1950s with the work of Kleene, Kreisel and others, and has since expanded in many different directions under the influence of workers from both mathematical logic and computer science. The ideas of higher-order computability have proved valuable both for elucidating the constructive content of logical systems, and for investigating the expressive power of various higher-order programming languages. In contrast to the well-known situation for first-order functions, it turns out that at higher types there are several different notions of computability competing for our attention, and each of these has given rise to its own strand of research. In this book, the authors offer an integrated treatment that draws together many of these strands within a unifying framework, revealing not only the range of possible computability concepts but the relationships between them. The book will serve as an ideal introduction to the field for beginning graduate students, as well as a reference for advanced researchers
Detail Book of Higher Order Computability PDF
- Author : John Longley
- Release : 06 November 2015
- Publisher : Springer
- ISBN : 9783662479926
- Genre : Computers
- Total Page : 571 pages
- Language : English
- PDF File Size : 20,5 Mb
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