Computational Limitations of Affine Automata

被引:3
|
作者
Hirvensalo, Mika [1 ]
Moutot, Etienne [1 ,2 ]
Yakaryilmaz, Abuzer [3 ]
机构
[1] Univ Turku, Dept Math & Stat, Turku 20014, Finland
[2] Univ Lyon, Ecole Normale Super Lyon, CNRS, LIP,ENS Lyon,UCBL, Lyon, France
[3] Univ Latvia, Ctr Quantum Comp Sci, Fac Comp, Riga, Latvia
关键词
LANGUAGES;
D O I
10.1007/978-3-030-19311-9_10
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We present two new results on the computational limitations of affine automata. First, we show that the computation of bounded-error rational-valued affine automata is simulated in logarithmic space. Second, we give an impossibility result for algebraic-valued affine automata. As a result, we identify some unary languages (in logarithmic space) that are not recognized by algebraic-valued affine automata with cutpoints.
引用
收藏
页码:108 / 121
页数:14
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