Title
On the Complexity of the Quantified Bit-Vector Arithmetic with Binary Encoded Bit-Widths.
Abstract
In this paper, we prove the precise computational complexity of deciding satisfiability of first-order quantified formulas over the theory of fixed-size bit-vectors. This problem is known to be solvable in exponential space and to be NEXPTIME-hard. We show that this problem is complete for the complexity class AEXP(poly) -- the class of problems decidable by an alternating Turing machine using exponential space and polynomial number of alternations between existential and universal states.
Year
Venue
Field
2016
arXiv: Logic in Computer Science
Complexity class,PH,Structural complexity theory,Algorithm,Arithmetic,True quantified Boolean formula,Time complexity,Bit array,Mathematics,Computational complexity theory,Binary number
DocType
Volume
Citations 
Journal
abs/1612.01263
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Martin Jonás142.10
Jan Strejcek29913.83