On the square root of languages

被引：0
|
作者：
Bertoni, A [1 ]
Massazza, P [1 ]
机构：
[1] Univ Milan, Dipartimento Sci Informaz, I-20135 Milan, Italy
来源：
FORMAL POWER SERIES AND ALGEBRAIC COMBINATORICS | 2000年
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The unambiguous square root of a language L subset of or equal to Sigma* is a language X s.t. X-2 = L and the product is unambiguous. We prove that: 1. Every language admits at most one unambiguous square root 2. For the class of regular languages, it is decidable whether the unambiguous square root is regular; the same problem becomes undecidable for the class of context-free languages 3. The unambiguous square root of a language in P is in P.
引用
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页码：125 / 134
页数：10
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