Title
Parallel Time and Quantifier Prefixes
Abstract
We characterize the amount of alternation between blocks of Boolean quantifiers (having both existential and universal), blocks of real existential quantifiers, and blocks of real universal quantifiers that can be decided in parallel polynomial time over the reals. We do so under the assumption that blocks have a uniform bound on their size, both for the case of this bound to be polynomial and constant. On the way towards this characterization we prove a real version of Savitch’s Theorem.
Year
DOI
Venue
2009
10.1007/s00037-009-0264-6
Computational Complexity
Keywords
Field
DocType
parallel polynomial time,complexity classes,. quantifier prefixes,real version,real universal quantifiers,real existential quantifiers,parallel time.,quantifier prefixes,alternation,boolean quantifiers,parallel time,polynomial time,complexity class
Complexity class,Discrete mathematics,Combinatorics,Polynomial,Prefix,Time complexity,Mathematics,Alternation (linguistics)
Journal
Volume
Issue
ISSN
18
4
1420-8954
Citations 
PageRank 
References 
0
0.34
6
Authors
2
Name
Order
Citations
PageRank
Felipe Cucker166668.99
Paulin Jacobé de Naurois2344.98