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The Measure of Recognizable Sets of Real Numbers

 

作者: RubinFrank,  

 

期刊: The American Mathematical Monthly  （Taylor Available online 1976）
卷期: Volume 83, issue 5  

页码: 348-349

 

ISSN:0002-9890

 

年代: 1976

 

DOI:10.1080/00029890.1976.11994117

 

出版商: Taylor&Francis

 

数据来源: Taylor

 

摘要:

AbstractThe sets of real numbers which can be recognized by certain finite state automata are (Lebesgue) measurable. A necessary and sufficient condition for such sets to have measure 0 is that from each state of the recognizer a failure state can be reached.

 

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