Title
Counting Paths in VPA Is Complete for #NC1
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, Ramachandran ([9]). 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 automata.
Year
DOI
Venue
2010
10.1007/978-3-642-14031-0_7
Electronic Colloquium on Computational Complexity (ECCC)
Keywords
Field
DocType
pushdown automaton,non-trivial adaptation,arithmetic formula evaluation algorithm,nondeterministic finite-state automaton,finite state automata,upper bound
#SAT,Discrete mathematics,Combinatorics,Nondeterministic algorithm,Upper and lower bounds,Automaton,#P-complete,Ramachandran plot,Pushdown automaton,Mathematics
Journal
Volume
ISSN
ISBN
17
0302-9743
3-642-14030-0
Citations 
PageRank 
References 
1
0.37
15
Authors
3
Name
Order
Citations
PageRank
Andreas Krebs134.15
Nutan Limaye213420.59
Meena Mahajan368856.90