On Emptiness and Membership Problems for Set Automata

被引:3
|
作者
Rubtsov, A. [1 ,2 ]
Vyalyi, M. [1 ,2 ,3 ]
机构
[1] Natl Res Univ Higher Sch Econ, Moscow, Russia
[2] Moscow Inst Phys & Technol, Moscow, Russia
[3] FRC CSC RAS, Dorodnicyn Comp Ctr, Moscow, Russia
来源
COMPUTER SCIENCE - THEORY AND APPLICATIONS, CSR 2018 | 2018年 / 10846卷
关键词
D O I
10.1007/978-3-319-90530-3_25
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We consider a computational model which is known as set automata. The set automata are one-way finite automata with an additional storage-the set. There are two kinds of set automata-the deterministic and the nondeterministic ones. We denote them as DSA and NSA respectively. The model was introduced by Kutrib et al. in 2014 in [2,3]. In this paper we characterize algorithmic complexity of the emptiness and membership problems for set automata. More definitely, we prove that both problems are PSPACE-complete for both kinds of set automata.
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页码:295 / 307
页数:13
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