Publication details
On the complexity of the quantified bit-vector arithmetic with binary encoding
| Authors | |
|---|---|
| Year of publication | 2018 |
| Type | Article in Periodical |
| Magazine / Source | Information Processing Letters |
| MU Faculty or unit | |
| Citation | |
| web | https://www.sciencedirect.com/science/article/pii/S0020019018300474 |
| Doi | https://doi.org/10.1016/j.ipl.2018.02.018 |
| Keywords | computational complexity; satisfiability modulo theories; bit-vector theory |
| Description | We study the precise computational complexity of deciding satisfiability of first-order quantified formulas over the theory of fixed-size bit-vectors with binary-encoded bit-widths and constants. This problem is known to be in EXPSPACE 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 time, but only a polynomial number of alternations between existential and universal states. |
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