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加权有限自动机的幺半群 被引量：2

Monoids of weighted finite automata
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摘要 讨论了加权有限自动机的变换幺半群,并通过加权有限自动机的同余关系,提出了语法幺半群的概念,给出了语法幺半群有限的条件,并建立了变换幺半群与语法幺半群之间的关系。最后讨论了加权有限自动机的转移幺半群。 The transformation monoid of weighted finite automata is introduced.According to the congruence relation of weighted finite automata,the concept of sytactic monoid is presented,and some conditions for syntactic monoid being finite are given,and the relationship between transformation monoid and syntactic monoid is established.Finally,the transition monoid of weighted finite automata is discussed.
作者 王拥兵 李永明 WANG Yongbing LI Yongming(School of Computer Science, Shaanxi Normal University, Xi＇an 710119, Shaanxi, China School of Mathematics and Computation, Anqing Normal University, Anqing 246013, Anhui, China)
机构地区 陕西师范大学计算机科学学院 安庆师范大学数学与计算机科学学院
出处 《陕西师范大学学报（自然科学版）》 CAS CSCD 北大核心 2016年第5期21-25,共5页 Journal of Shaanxi Normal University：Natural Science Edition
基金 国家自然科学基金(11271237 11301316) 安庆师范学院青年科研基金(KJ201413 KJ201214)
关键词 半环 加权有限自动机 局部有限 同态 semiring weighted finite automata locally finiteness homomorphism
分类号 TP301 [自动化与计算机技术—计算机系统结构]
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参考文献15

  • 1SCHUTZENBERGER M P. On the definition of a fami- ly of automata [J]. Information and Control, 1961,4: 245-270.
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二级参考文献22

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二级引证文献1

陕西师范大学学报（自然科学版）
2016年 第5期

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