{"product_id":"head-order-techniques-and-other-pragmatics-of-lambda-calculus-graph-reduction-9781612337579","title":"Head-Order Techniques and Other Pragmatics of Lambda Calculus Graph Reduction","description":"Available in Paperback Available in eBook editions (PDF format) Institution: Syracuse University (Syracuse, NY, USA) Advisor(s): Prof. Klaus J. Berkling Degree: Ph.D. in Computer and Information Science Year: 1993 Book Information: 248 pages Publisher: Dissertation.com ISBN-10: 1612337570 ISBN-13: 9781612337579 View First 25 pages: (free download) 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.\u003cbr\u003e","brand":"Dissertation.com","offers":[{"title":"Default Title","offer_id":51453621338386,"sku":"9781612337579","price":33.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_8c461809-d61e-4cbf-a826-1eff9ba9e3b1.jpg?v=1751976387","url":"https:\/\/surprise-castle.myshopify.com\/products\/head-order-techniques-and-other-pragmatics-of-lambda-calculus-graph-reduction-9781612337579","provider":"Surprise Castle","version":"1.0","type":"link"}