书目名称 | Higher-Order Computability |
编辑 | John Longley,Dag Normann |
视频video | |
概述 | Valuable for researchers in mathematical logic and theoretical computer science.Consolidates work carried out in this domain since the 1950s.Asks what ‘computability’ means for data more complex than |
丛书名称 | Theory and Applications of Computability |
图书封面 |  |
描述 | .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 stude |
出版日期 | Book 2015 |
关键词 | Computability Models; Computability Theory; Intensional Models; Kleene Computability; Lambda Algebras |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-662-47992-6 |
isbn_softcover | 978-3-662-51711-6 |
isbn_ebook | 978-3-662-47992-6Series ISSN 2190-619X Series E-ISSN 2190-6203 |
issn_series | 2190-619X |
copyright | Springer-Verlag Berlin Heidelberg 2015 |