JONÁŠ, Martin and Jan STREJČEK. On the complexity of the quantified bit-vector arithmetic with binary encoding. Information Processing Letters. Elsevier, 2018, vol. 135, červenec 2018, p. 57-61. ISSN 0020-0190. Available from: https://dx.doi.org/10.1016/j.ipl.2018.02.018.
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Basic information
Original name On the complexity of the quantified bit-vector arithmetic with binary encoding
Authors JONÁŠ, Martin (203 Czech Republic, belonging to the institution) and Jan STREJČEK (203 Czech Republic, guarantor, belonging to the institution).
Edition Information Processing Letters, Elsevier, 2018, 0020-0190.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10201 Computer sciences, information science, bioinformatics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.914
RIV identification code RIV/00216224:14330/18:00100916
Organization unit Faculty of Informatics
Doi http://dx.doi.org/10.1016/j.ipl.2018.02.018
UT WoS 000430518100011
Keywords in English computational complexity; satisfiability modulo theories; bit-vector theory
Tags formela-journal
Tags International impact, Reviewed
Changed by Changed by: RNDr. Pavel Šmerk, Ph.D., učo 3880. Changed: 29/4/2019 15:54.
Abstract
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.
Links
GBP202/12/G061, research and development projectName: Centrum excelence - Institut teoretické informatiky (CE-ITI) (Acronym: CE-ITI)
Investor: Czech Science Foundation
MUNI/A/0854/2017, interní kód MUName: Rozsáhlé výpočetní systémy: modely, aplikace a verifikace VII.
Investor: Masaryk University, Category A
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