Paperback Edition
Paperback
248 pages
$25.95
Choose vendor to order paperback edition
BrownWalker Press
Amazon.com
Barnes & Noble
Return policy
PDF eBook
Entire PDF eBook
3742k
$24
Get instant access to an entire eBook
Buy PDF Password
Download Complete PDF
eBook editions
Head-Order Techniques and Other Pragmatics of Lambda Calculus Graph Reduction
by Nikos B. Troullinos
Paperback
eBook PDF
Publisher: | Dissertation |
Pub date: | 2011 |
Pages: | 248 |
ISBN-10: | 1612337570 |
ISBN-13: | 9781612337579 |
Categories: | Computer Science Computers Mathematics |
Abstract
The operational aspects of Lambda Calculus are studied as a fundamental basis for high-order functional computation. We consider systems having full reduction semantics, i.e., equivalence-preserving transformations of functions. The historic lineage from Eval-Apply to SECD to RTNF/RTLF culminates in the techniques of normal-order graph Head Order Reduction (HOR). By using a scalar mechanism to artificially bind relatively free variables, HOR makes it relatively effortless to reduce expressions beyond weak normal form and to allow expression-level results while exhibiting a well-behaved linear self-modifying code structure. Several variations of HOR are presented and compared to other efficient reducers, with and without sharing, including a conservative breadth-first one which mechanically takes advantage of the inherent, fine-grained parallelism of the head normal form. We include abstract machine and concrete implementations of all the reducers in pure functional code. Benchmarking comparisons are made through a combined time-space efficiency metric. The original results indicate that circa 2010 reduction rates of 10-100 million reductions per second can be achieved in software interpreters and a billion reductions per second can be achieved by a state-of-the art custom VLSI implementation.
Paperback Edition
Paperback
248 pages
$25.95
Choose vendor to order paperback edition
BrownWalker Press
Amazon.com
Barnes & Noble
Return policy
PDF eBook
Entire PDF eBook
3742k
$24
Get instant access to an entire eBook
Buy PDF Password
Download Complete PDF
eBook editions
Share this book
Relevant events
18 - 22 Aug 2024
Santa Barbara, United States
APR
24
24 - 26 Apr 2024
Bangkok, Thailand
24 - 26 Apr 2024
Manila, Philippines
APR
24
24 - 26 Apr 2024
Manila, Philippines
24 - 26 Apr 2024
Manila, Philippines
24 - 26 Apr 2024
Mostar , Bosnia and Herzegovina
APR
25
25 - 27 Apr 2024
Chengdu, China
25 - 27 Apr 2024
Chengdu, China
26 - 29 Apr 2024
Bali, Indonesia
26 - 29 Apr 2024
Bali, Indonesia