Title
Nondeterminism and An Abstract Formulation of Nečiporuk’s Lower Bound Method
Abstract
A formulation of Nečiporuk’s lower bound method slightly more inclusive than the usual complexity-measure-specific formulation is presented. Using this general formulation, limitations to lower bounds achievable by the method are obtained for several computation models, such as branching programs and Boolean formulas having access to a sublinear number of nondeterministic bits. In particular, it is shown that any lower bound achievable by the method of Nečiporuk for the size of nondeterministic and parity branching programs is at most O(n3/2/logn).
Year
DOI
Venue
2016
10.1145/3013516
ACM Transactions on Computation Theory (TOCT)
Keywords
Field
DocType
Branching programs,binary formulas,limited nondeterminism
Sublinear function,Discrete mathematics,Combinatorics,Nondeterministic algorithm,Upper and lower bounds,Parity (mathematics),Mathematics,Computation,Branching (version control)
Journal
Volume
Issue
ISSN
9
1
1942-3454
Citations 
PageRank 
References 
2
0.40
5
Authors
4
Name
Order
Citations
PageRank
Paul Beame12234176.07
Nathan Grosshans220.40
Pierre McKenzie320.40
Luc Segoufin41453153.14