零和自由交换半环上可识别级数的支持是可识别的

IF 0.3 Q4 COMPUTER SCIENCE, CYBERNETICS Acta Cybernetica Pub Date : 2009-07-01 DOI:10.14232/actacyb.20.2.2011.1

D. Kirsten

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引用次数: 21

摘要

我们证明了零和自由交换半环上可识别级数的支持是一种可识别的语言。并给出了在零和自由交换半环上识别序列S的加权自动机到识别S支持的自动机的有效变换的充要条件。

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The Support of a Recognizable Series over a Zero-sum Free, Commutative Semiring is Recognizable

We show that the support of a recognizable series over a zero-sum free, commutative semiring is a recognizable language. We also give a sufficient and necessary condition for the existence of an effective transformation of a weighted automaton recognizing a series S over a zero-sum free, commutative semiring into an automaton recognizing the support of S.

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