| 查看: 212 | 回复: 0 | |||
| 当前主题已经存档。 | |||
xiexie99至尊木虫 (著名写手)
|
[交流]
【转贴】A Modern Perspective on Type Theory【已搜无重复】
|
||
|
A Modern Perspective on Type Theory: From its Origins until Today (Applied Logic Series) By F.D. Kamareddine, T. Laan, Rob Nederpelt, Publisher: Springer Number Of Pages: 357 Publication Date: 2004-06-09 Sales Rank: 1272857 ISBN / ASIN: 1402023340 EAN: 9781402023347 Binding: Hardcover Manufacturer: Springer Studio: Springer `Towards the end of the nineteenth century, Frege gave us the abstraction principles and the general notion of functions. Self-application of functions was at the heart of Russell's paradox. This led Russell to introduce type theory in order to avoid the paradox. Since, the twentieth century has seen an amazing number of theories concerned with types and functions and many applications. Progress in computer science also meant more and more emphasis on the use of logic, types and functions to study the syntax, semantics, design and implementation of programming languages and theorem provers, and the correctness of proofs and programs. The authors of this book have themselves been leading the way by providing various extensions of type theory which have been shown to bring many advantages. This book gathers much of their influential work and is highly recommended for anyone interested in type theory. The main emphasis is on: - Types: from Russell to Ramsey, to Church, to the modern Pure Type Systems and some of their extensions. - Functions: from Frege, to Russell to Church, to Automath and the use of functions in mathematics, programming languages and theorem provers. - The role of types in logic: Kripke's notion of truth, the evolution and role of the propositions as types concept and its use in logical frameworks. - The role of types in computation: extensions of type theories which can better model proof checkers and programming languages are given. The first part of the book is historical, yet at the same time, places historical systems (like Russell's RTT) in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms), but at the same time, places another historical system (the proof checker Automath) in the modern setting. The third part uses this bridging in the first two parts between historical and modern systems to propose new systems that bring more advantages together. This book has much to offer to mathematicians, logicians and to computer scientists in general. It will have considerable influence for many years to come.' - Henk Barendregt http://mihd.net/26qclb http://rapidshare.com/files/65683674/ebc_ma7ngryx.rar pass: gigapedia.org [ Last edited by cuplgz on 2008-1-18 at 14:39 ] |
回复此楼» 猜你喜欢
今日不放榜？网传国自然预计 8 月 27 日可查结果
已经有20人回复
-
2026国自然函评费到账
已经有6人回复
-
科研孤儿太难了
已经有18人回复
-
建议基金发布提前给出明确的时间点
已经有12人回复
-
看来今天不会放榜了？
已经有11人回复
-
时间戳又变了
已经有19人回复
-
filecode，4个jtjc了
已经有14人回复
-
让我中一个面上吧！
已经有13人回复
-
人气不行了
已经有7人回复
-
感觉是下周放榜了
已经有12人回复
