Title
Counting Paths in VPA Is Complete for #NC 1
Abstract
We give a #NC 1 upper bound for the problem of counting accepting paths in any fixed visibly pushdown automaton. Our algorithm involves a non-trivial adaptation of the arithmetic formula evaluation algorithm of Buss, Cook, Gupta and Ramachandran (SIAM J. Comput. 21:755–780, 1992). We also show that the problem is #NC 1 hard. Our results show that the difference between #BWBP and #NC 1 is captured exactly by the addition of a visible stack to a nondeterministic finite-state automaton.
Year
DOI
Venue
2012
10.1007/s00453-011-9501-x
Algorithmica
Keywords
Field
DocType
pushdown automaton,non-trivial adaptation,siam j. comput,arithmetic formula evaluation algorithm,nondeterministic finite-state automaton
Discrete mathematics,Combinatorics,Boolean circuit,Nondeterministic algorithm,Upper and lower bounds,Automaton,#P-complete,Pushdown automaton,Ramachandran plot,Mathematics
Journal
Volume
Issue
ISSN
64
2
0178-4617
Citations 
PageRank 
References 
1
0.37
16
Authors
3
Name
Order
Citations
PageRank
Andreas Krebs134.15
Nutan Limaye213420.59
Meena Mahajan368856.90