On Determinism and Unambiguity of Weighted Two-Way Automata

被引:1
|
作者
Carnino, Vincent [1 ]
Lombardy, Sylvain [2 ]
机构
[1] Univ Paris Est Marne la Vallee, LIGM, UMR 8049, 5 Blvd Descartes, F-77420 Champs Sur Marne, France
[2] Inst Polytech Bordeaux, LaBRI, UMR 5800, F-33405 Talence, France
关键词
Weighted automata; two-way automata; determinization; unambiguity;
D O I
10.1142/S0129054115400158
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper deals with one-way and two-way weighted automata. When the semiring of weights is commutative, we prove that unambiguous one-way automata, unambiguous two-way automata and deterministic two-way automata realize the same (rational) power series. If the semiring of weights is not commutative, unambiguous one-way automata and deterministic two-way automata realize the same rational power series, but unambiguous two-way automata may realize non rational power series.
引用
收藏
页码:1127 / 1146
页数:20
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