Computing a context-free grammar-generating series
Litow, Bruce (2001) Computing a context-free grammar-generating series. Information and Computation, 169 (2). pp. 174-185.
|PDF (Published Version) - Repository staff only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader|
View at Publisher Website: http://dx.doi.org/10.1006/inco.2000.3023
The parallel complexity of computingcontext-freegrammargeneratingseries is investigated. It is known that this problem is in DIV, but in terms of nσ rather than n, where n is the index of the desired coefficient and σ is the grammar size. A new method is presented which is in DIV in terms of 22O(σ)·n. Evidence is provided that any direct application of elimination theory to this problem leads to a space and time resource factor that is nearly exponential in grammar size.
|Item Type:||Article (Refereed Research - C1)|
|Keywords:||context-free grammar generating series|
|FoR Codes:||08 INFORMATION AND COMPUTING SCIENCES > 0802 Computation Theory and Mathematics > 080299 Computation Theory and Mathematics not elsewhere classified @ 100%|
|SEO Codes:||89 INFORMATION AND COMMUNICATION SERVICES > 8999 Other Information and Communication Services > 899999 Information and Communication Services not elsewhere classified @ 100%|
|Deposited On:||26 Jul 2012 17:16|
|Last Modified:||11 Dec 2012 12:47|
Last 12 Months: 1
Repository Staff Only: item control page