The state complexity of language operations on XNFA-succinct unary regular languages

被引:0
作者
Marais, Laurette [1 ,2 ]
van Zijl, Lynette [2 ]
机构
[1] Meraka Inst, Pretoria, South Africa
[2] Stellenbosch Univ, Stellenbosch, South Africa
来源
PROCEEDINGS OF THE ANNUAL CONFERENCE OF THE SOUTH AFRICAN INSTITUTE OF COMPUTER SCIENTISTS AND INFORMATION TECHNOLOGISTS (SAICSIT 2018) | 2018年
基金
新加坡国家研究基金会;
关键词
Descriptional complexity; nondeterminism; language operations;
D O I
10.1145/3278681.3278684
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Given two unary languages accepted by symmetric difference non-deterministic finite automata, we establish bounds on the state complexity of their union, intersection, relative complement and symmetric difference. For languages L-1 and L-2 accepted by minimal symmetric difference nondeterministic finite automata of size m and n respectively, we show that the state complexity of their union, intersection and relative complement has an upper bound of (2(m) - 1)(2(n) - 1).
引用
收藏
页码:20 / 28
页数:9
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