[Download] "Head-Order Techniques and Other Pragmatics of Lambda Calculus Graph Reduction" by Nikos B. Troullinos " Book PDF Kindle ePub Free

📘 Read Now     📥 Download

eBook details

• Title: Head-Order Techniques and Other Pragmatics of Lambda Calculus Graph Reduction
• Author : Nikos B. Troullinos
• Release Date : January 04, 2011
• Genre: Computers,Books,Computers & Internet,Science & Nature,Physics,
• Pages : * pages
• Size : 42152 KB

Description

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.

Download Books "Head-Order Techniques and Other Pragmatics of Lambda Calculus Graph Reduction" PDF ePub Kindle